#include "constantes_gpu.h"

const unsigned int PosNoeudsVariable[60000] ={
/* msg =      0, deg =  6 */      6,   6037,   9673,  11056,  15757,  16943, 
/* msg =      1, deg =  6 */   1598,   8470,   9447,  10120,  10888,  19523, 
/* msg =      2, deg =  6 */   2291,   2638,   9577,  12214,  15137,  16083, 
/* msg =      3, deg =  6 */    378,   1936,   4816,  10961,  12924,  18058, 
/* msg =      4, deg =  6 */   1942,   9556,   9818,  15963,  16587,  17323, 
/* msg =      5, deg =  6 */   1887,   5116,   5902,  13677,  16064,  19875, 
/* msg =      6, deg =  6 */    435,   2919,   4459,  10986,  15221,  19969, 
/* msg =      7, deg =  6 */   1620,   4934,   5871,  11883,  15132,  18359, 
/* msg =      8, deg =  6 */   4014,   5722,   9954,  12970,  15393,  19347, 
/* msg =      9, deg =  6 */   6076,   6628,   9485,  10172,  14866,  18590, 
/* msg =     10, deg =  6 */    661,    663,   2006,  13525,  16244,  18171, 
/* msg =     11, deg =  6 */   4507,   5194,   9613,  14485,  16567,  19006, 
/* msg =     12, deg =  6 */   5565,   7796,   9392,  11625,  15985,  19682, 
/* msg =     13, deg =  6 */    604,   2330,   4444,  10764,  11360,  14353, 
/* msg =     14, deg =  6 */    837,   1466,   1537,  11624,  13749,  17594, 
/* msg =     15, deg =  6 */   1965,   4541,   7621,  12185,  14552,  15536, 
/* msg =     16, deg =  6 */   6250,   8791,   9911,  14527,  15080,  19280, 
/* msg =     17, deg =  6 */   2847,   3817,   9837,  12286,  16229,  18776, 
/* msg =     18, deg =  6 */    933,   1000,   8974,  11183,  12792,  16454, 
/* msg =     19, deg =  6 */   1573,   6209,   8681,  11102,  11555,  17219, 
/* msg =     20, deg =  6 */    868,   6742,   9054,  12512,  14550,  18255, 
/* msg =     21, deg =  6 */   5354,   6743,   7228,  14337,  14896,  16697, 
/* msg =     22, deg =  6 */   4021,   8524,   9749,  13686,  15085,  19497, 
/* msg =     23, deg =  6 */   4262,   5003,   6589,  10279,  14394,  19665, 
/* msg =     24, deg =  6 */   1153,   1486,   7772,  10192,  16816,  19988, 
/* msg =     25, deg =  6 */   5970,   6230,   8272,  11337,  15025,  16072, 
/* msg =     26, deg =  6 */   2298,   4820,   9986,  10436,  11086,  16488, 
/* msg =     27, deg =  6 */   3713,   4167,   4960,  12022,  15077,  15494, 
/* msg =     28, deg =  6 */   3082,   4081,   8651,  12077,  16146,  18860, 
/* msg =     29, deg =  6 */   3097,   4015,   7354,  16516,  17042,  18956, 
/* msg =     30, deg =  6 */   1818,   4042,   5890,  12970,  16696,  18391, 
/* msg =     31, deg =  6 */    813,   3808,   8146,  10057,  16916,  17492, 
/* msg =     32, deg =  6 */   5584,   7745,   8210,  15594,  15706,  19639, 
/* msg =     33, deg =  6 */   3691,   4440,   8480,  10292,  19170,  19752, 
/* msg =     34, deg =  6 */   3985,   6669,   9060,  14978,  15857,  17586, 
/* msg =     35, deg =  6 */    736,   6916,   7081,  10919,  11134,  18553, 
/* msg =     36, deg =  6 */   3491,   3766,   9255,  12725,  18256,  19623, 
/* msg =     37, deg =  6 */   3053,   4090,   6276,  15431,  18865,  19668, 
/* msg =     38, deg =  6 */     18,   4399,   8081,  10193,  13574,  16550, 
/* msg =     39, deg =  6 */   2033,   2823,   4687,  11138,  16950,  17190, 
/* msg =     40, deg =  6 */    998,   2266,   3802,  11377,  11743,  15667, 
/* msg =     41, deg =  6 */   3369,   4155,   7972,  14900,  15549,  16754, 
/* msg =     42, deg =  6 */    251,   5416,   5972,  11603,  16673,  19068, 
/* msg =     43, deg =  6 */   4881,   5243,   7782,  12751,  13332,  19369, 
/* msg =     44, deg =  6 */    310,   2436,   6668,  12896,  13863,  15948, 
/* msg =     45, deg =  6 */   3893,   5382,   5986,  11465,  13222,  16679, 
/* msg =     46, deg =  6 */   4774,   6960,   9378,  13041,  14494,  18869, 
/* msg =     47, deg =  6 */    973,   1846,   7906,  12584,  16661,  17390, 
/* msg =     48, deg =  6 */   1586,   6220,   9602,  14782,  15715,  17154, 
/* msg =     49, deg =  6 */   5280,   8321,   9985,  11423,  13940,  14265, 
/* msg =     50, deg =  6 */    236,   2015,   4110,  15404,  17657,  18494, 
/* msg =     51, deg =  6 */   6258,   7269,   8320,  11917,  16693,  17408, 
/* msg =     52, deg =  6 */   3690,   4280,   8547,  10154,  16050,  17675, 
/* msg =     53, deg =  6 */    919,   3764,   5518,  11787,  14588,  16375, 
/* msg =     54, deg =  6 */   5041,   5722,   6753,  12281,  14885,  19100, 
/* msg =     55, deg =  6 */   2198,   3829,   7211,  14787,  18444,  18816, 
/* msg =     56, deg =  6 */   2854,   4816,   6251,  15599,  16705,  19635, 
/* msg =     57, deg =  6 */   2501,   6476,   6896,  15266,  15891,  16286, 
/* msg =     58, deg =  6 */   4142,   7280,   8111,  10309,  12804,  17867, 
/* msg =     59, deg =  6 */   4587,   9409,   9702,  18042,  18076,  19625, 
/* msg =     60, deg =  6 */    965,   1209,   9421,  10069,  11945,  16328, 
/* msg =     61, deg =  6 */    160,   3548,   6973,  11452,  16328,  18428, 
/* msg =     62, deg =  6 */      8,   4631,   5291,  13566,  13890,  15175, 
/* msg =     63, deg =  6 */     18,   2572,   8248,  15533,  16873,  18412, 
/* msg =     64, deg =  6 */   5222,   8089,   8301,  13094,  13701,  15460, 
/* msg =     65, deg =  6 */   3525,   8686,   8843,  12373,  14999,  18668, 
/* msg =     66, deg =  6 */   1822,   3044,   6821,  12411,  13709,  14053, 
/* msg =     67, deg =  6 */   8998,   9680,   9828,  10769,  12153,  14928, 
/* msg =     68, deg =  6 */    971,   3742,   5318,  11725,  13897,  19159, 
/* msg =     69, deg =  6 */    357,   2330,   4997,  14033,  14059,  18425, 
/* msg =     70, deg =  6 */    936,   4530,   5276,  10296,  10763,  19417, 
/* msg =     71, deg =  6 */   4378,   5623,   7399,  10001,  16897,  17370, 
/* msg =     72, deg =  6 */   1566,   2460,   4719,  10568,  18870,  19711, 
/* msg =     73, deg =  6 */   2004,   4678,   8238,  10414,  12076,  17972, 
/* msg =     74, deg =  6 */   6359,   7906,   9596,  10147,  11190,  18585, 
/* msg =     75, deg =  6 */   4257,   9145,   9966,  11120,  16858,  17999, 
/* msg =     76, deg =  6 */   2401,   6894,   9427,  12837,  14325,  15024, 
/* msg =     77, deg =  6 */    248,    255,   7877,  10618,  17357,  18686, 
/* msg =     78, deg =  6 */   6379,   7082,   7646,  13570,  15990,  18030, 
/* msg =     79, deg =  6 */   4898,   9581,   9964,  13071,  13620,  18596, 
/* msg =     80, deg =  6 */   1437,   4927,   7311,  10539,  12031,  15061, 
/* msg =     81, deg =  6 */   2459,   3569,   7577,  15110,  15251,  18327, 
/* msg =     82, deg =  6 */   2751,   3157,   6972,  12058,  18784,  18936, 
/* msg =     83, deg =  6 */   3172,   4468,   7737,  14657,  16876,  19256, 
/* msg =     84, deg =  6 */   2069,   6096,   6218,  12484,  14454,  16460, 
/* msg =     85, deg =  6 */    144,   3292,   7117,  15153,  15687,  19329, 
/* msg =     86, deg =  6 */   2228,   2554,   4868,  11773,  12819,  13465, 
/* msg =     87, deg =  6 */   2247,   3715,   9244,  11136,  17918,  19711, 
/* msg =     88, deg =  6 */   3090,   7223,   7851,  12936,  16997,  17818, 
/* msg =     89, deg =  6 */     41,   7405,   8349,  18450,  18936,  19598, 
/* msg =     90, deg =  6 */    127,    743,   1420,  12916,  13675,  18461, 
/* msg =     91, deg =  6 */   2731,   6126,   8071,  15342,  16736,  18608, 
/* msg =     92, deg =  6 */   6283,   6673,   6970,  10751,  11155,  19278, 
/* msg =     93, deg =  6 */    916,   4246,   5191,  13684,  13878,  17695, 
/* msg =     94, deg =  6 */   2578,   3222,   6501,  13421,  14662,  16915, 
/* msg =     95, deg =  6 */   4481,   6478,   8596,  10902,  11025,  15509, 
/* msg =     96, deg =  6 */    661,   3284,   5490,  11211,  15907,  18017, 
/* msg =     97, deg =  6 */   4066,   6473,   8134,  10201,  16767,  16800, 
/* msg =     98, deg =  6 */   2852,   2887,   9510,  12464,  13314,  15331, 
/* msg =     99, deg =  6 */   3180,   9578,   9934,  11402,  14811,  18394, 
/* msg =    100, deg =  6 */    577,   3765,   5534,  13791,  14572,  19433, 
/* msg =    101, deg =  6 */   9099,   9618,   9696,  10555,  11362,  12886, 
/* msg =    102, deg =  6 */   4304,   5245,   7154,  16123,  18134,  18909, 
/* msg =    103, deg =  6 */    974,   3434,   8135,  10922,  13419,  14770, 
/* msg =    104, deg =  6 */     71,   8364,   8408,  14656,  15575,  18662, 
/* msg =    105, deg =  6 */   3642,   6064,   8087,  12926,  14001,  16285, 
/* msg =    106, deg =  6 */   3986,   4084,   8603,  17926,  19324,  19986, 
/* msg =    107, deg =  6 */   1954,   4335,   7268,  13796,  15282,  18163, 
/* msg =    108, deg =  6 */     17,   1518,   2793,  10868,  11425,  11499, 
/* msg =    109, deg =  6 */    472,   2785,   5911,  10304,  14288,  15843, 
/* msg =    110, deg =  6 */   4328,   4389,   7830,  10793,  15799,  18400, 
/* msg =    111, deg =  6 */    178,   7735,   9001,  13203,  15689,  15739, 
/* msg =    112, deg =  6 */    781,   4151,   9258,  14123,  16751,  18189, 
/* msg =    113, deg =  6 */   5203,   8456,   8815,  11781,  12003,  13895, 
/* msg =    114, deg =  6 */   5579,   7143,   8669,  14348,  14487,  18046, 
/* msg =    115, deg =  6 */   1461,   5433,   9360,  12159,  17746,  18454, 
/* msg =    116, deg =  6 */   4326,   5595,   7386,  15192,  15792,  16559, 
/* msg =    117, deg =  6 */    116,   1987,   8464,  11839,  18760,  19780, 
/* msg =    118, deg =  6 */   1802,   3282,   5383,  13110,  18459,  18741, 
/* msg =    119, deg =  6 */   5372,   7678,   7925,  11179,  17741,  18464, 
/* msg =    120, deg =  6 */    224,   5763,   8186,  11194,  14503,  17323, 
/* msg =    121, deg =  6 */    270,   2453,   6748,  10349,  15823,  17732, 
/* msg =    122, deg =  6 */   2203,   4364,   8575,  15208,  15691,  19656, 
/* msg =    123, deg =  6 */   4665,   6741,   7411,  11601,  16471,  19579, 
/* msg =    124, deg =  6 */   4974,   8420,   9135,  10194,  11686,  14740, 
/* msg =    125, deg =  6 */   8594,   9009,   9474,  15417,  16434,  18193, 
/* msg =    126, deg =  6 */    369,    793,   7441,  10341,  10972,  17975, 
/* msg =    127, deg =  6 */   7720,   8014,   8658,  10577,  13333,  19614, 
/* msg =    128, deg =  6 */    629,   5115,   7586,  13435,  14013,  19995, 
/* msg =    129, deg =  6 */   2017,   7038,   7142,  13092,  15368,  17215, 
/* msg =    130, deg =  6 */   2673,   4612,   9028,  12044,  12264,  15761, 
/* msg =    131, deg =  6 */   1533,   4987,   9438,  11134,  13479,  16251, 
/* msg =    132, deg =  6 */   5829,   5961,   7130,  16384,  16435,  18045, 
/* msg =    133, deg =  6 */   1414,   3945,   4391,  12119,  15941,  18222, 
/* msg =    134, deg =  6 */    624,   6574,   8369,  10836,  13978,  17804, 
/* msg =    135, deg =  6 */   1238,   7646,   9311,  11839,  14859,  15270, 
/* msg =    136, deg =  6 */   1396,   3776,   7548,  11247,  12610,  15405, 
/* msg =    137, deg =  6 */    135,   4203,   9726,  12681,  12959,  18427, 
/* msg =    138, deg =  6 */   3171,   6332,   7171,  13692,  18410,  19765, 
/* msg =    139, deg =  6 */   4097,   8297,   9007,  10526,  12691,  16026, 
/* msg =    140, deg =  6 */   2576,   5686,   7341,  11824,  15178,  18958, 
/* msg =    141, deg =  6 */   4921,   6013,   8160,  10579,  16518,  18751, 
/* msg =    142, deg =  6 */   2700,   3542,   7336,  12649,  17689,  19702, 
/* msg =    143, deg =  6 */   5426,   6926,   7985,  13801,  14414,  19502, 
/* msg =    144, deg =  6 */   2019,   2573,   9097,  11395,  16539,  17978, 
/* msg =    145, deg =  6 */   1571,   3876,   7047,  10957,  16636,  19057, 
/* msg =    146, deg =  6 */    211,   1583,   8380,  13815,  15470,  18522, 
/* msg =    147, deg =  6 */   2374,   7343,   9585,  12742,  13187,  19304, 
/* msg =    148, deg =  6 */   3614,   3867,   7206,  10461,  11671,  13234, 
/* msg =    149, deg =  6 */    889,   2261,   6271,  10031,  15606,  18415, 
/* msg =    150, deg =  6 */   1763,   5159,   9044,  12392,  19262,  19611, 
/* msg =    151, deg =  6 */   1038,   6649,   7036,  11822,  16908,  17355, 
/* msg =    152, deg =  6 */   1710,   1973,   5481,  11148,  15089,  19345, 
/* msg =    153, deg =  6 */   3169,   5926,   7197,  10029,  10540,  14916, 
/* msg =    154, deg =  6 */   3429,   5429,   9255,  16940,  19356,  19397, 
/* msg =    155, deg =  6 */   6641,   8399,   9766,  11084,  14697,  15813, 
/* msg =    156, deg =  6 */    783,   5568,   8907,  14117,  16700,  19448, 
/* msg =    157, deg =  6 */   4829,   8905,   9700,  14422,  17540,  19170, 
/* msg =    158, deg =  6 */    429,    919,   8099,  14284,  16381,  18942, 
/* msg =    159, deg =  6 */    259,   2542,   7452,  11055,  16492,  17862, 
/* msg =    160, deg =  6 */    820,   4023,   9337,  10949,  14029,  16353, 
/* msg =    161, deg =  6 */   2736,   8010,   9970,  15674,  16370,  18057, 
/* msg =    162, deg =  6 */     69,   2500,   5021,  16101,  18658,  19111, 
/* msg =    163, deg =  6 */   1361,   2387,   5577,  13754,  19152,  19281, 
/* msg =    164, deg =  6 */   3853,   4192,   7037,  12245,  17223,  18313, 
/* msg =    165, deg =  6 */   3682,   7292,   9168,  12328,  14537,  17094, 
/* msg =    166, deg =  6 */   5749,   6639,   9563,  14904,  15173,  19829, 
/* msg =    167, deg =  6 */    557,   3469,   6291,  10447,  11064,  12506, 
/* msg =    168, deg =  6 */   4676,   6562,   8892,  12887,  14971,  17634, 
/* msg =    169, deg =  6 */   4572,   7250,   9711,  15219,  16489,  19009, 
/* msg =    170, deg =  6 */   1294,   5216,   6963,  12637,  13670,  15523, 
/* msg =    171, deg =  6 */   2344,   3011,   8750,  12425,  13261,  17347, 
/* msg =    172, deg =  6 */   1730,   5562,   6328,  11135,  13815,  17527, 
/* msg =    173, deg =  6 */    419,   1646,   9184,  13619,  14056,  15081, 
/* msg =    174, deg =  6 */    642,   4208,   4221,  13363,  13900,  15397, 
/* msg =    175, deg =  6 */   2599,   7638,   9783,  10136,  12850,  18035, 
/* msg =    176, deg =  6 */   1547,   3601,   3638,  10593,  11739,  14160, 
/* msg =    177, deg =  6 */    209,    643,   5852,  10297,  16161,  19316, 
/* msg =    178, deg =  6 */   1772,   2206,   8660,  13344,  17316,  17395, 
/* msg =    179, deg =  6 */   1971,   4242,   6902,  11319,  12241,  14054, 
/* msg =    180, deg =  6 */   4271,   9460,   9770,  15287,  16497,  18429, 
/* msg =    181, deg =  6 */   6222,   7403,   9770,  12858,  13568,  15368, 
/* msg =    182, deg =  6 */   3106,   5807,   7524,  14914,  16136,  16524, 
/* msg =    183, deg =  6 */   1016,   1164,   9461,  10970,  17643,  19064, 
/* msg =    184, deg =  6 */    379,   8053,   9748,  13014,  14353,  16117, 
/* msg =    185, deg =  6 */   1867,   6385,   7687,  11611,  15833,  18856, 
/* msg =    186, deg =  6 */   1182,   4058,   5265,  10092,  14792,  18821, 
/* msg =    187, deg =  6 */   2026,   4125,   6733,  15381,  17528,  19163, 
/* msg =    188, deg =  6 */    358,   4652,   5783,  10451,  11678,  18941, 
/* msg =    189, deg =  6 */   6345,   7087,   9384,  10843,  11621,  19061, 
/* msg =    190, deg =  6 */    814,   2204,   3752,  16102,  16135,  17248, 
/* msg =    191, deg =  6 */   6301,   8932,   9044,  11055,  16297,  19072, 
/* msg =    192, deg =  6 */   3453,   7057,   8380,  12940,  15391,  19114, 
/* msg =    193, deg =  6 */   1039,   7916,   9145,  11424,  15806,  15873, 
/* msg =    194, deg =  6 */   3081,   5768,   6525,  10425,  13982,  18040, 
/* msg =    195, deg =  6 */   2574,   5168,   6521,  14405,  16675,  17078, 
/* msg =    196, deg =  6 */   3555,   5168,   8570,  13428,  14313,  19890, 
/* msg =    197, deg =  6 */    490,   1824,   8360,  16372,  17797,  18507, 
/* msg =    198, deg =  6 */   2787,   5455,   5790,  10835,  13877,  19202, 
/* msg =    199, deg =  6 */   3421,   3656,   4575,  14321,  17020,  17969, 
/* msg =    200, deg =  6 */    144,   1312,   1665,  15424,  17183,  17360, 
/* msg =    201, deg =  6 */   1113,   7589,   8450,  14288,  18461,  19983, 
/* msg =    202, deg =  6 */   1700,   8207,   8258,  13041,  14033,  17229, 
/* msg =    203, deg =  6 */    553,   1247,   2885,  10264,  10855,  11598, 
/* msg =    204, deg =  6 */   4732,   5582,   6284,  10267,  10459,  16710, 
/* msg =    205, deg =  6 */    126,   3534,   6669,  10378,  14561,  18670, 
/* msg =    206, deg =  6 */     45,   2169,   8766,  10492,  15371,  16180, 
/* msg =    207, deg =  6 */   1500,   4473,   6900,  12041,  13345,  19772, 
/* msg =    208, deg =  6 */   4550,   6558,   9465,  12991,  16344,  16843, 
/* msg =    209, deg =  6 */   1284,   6623,   7538,  10100,  11887,  13775, 
/* msg =    210, deg =  6 */   1033,   2905,   8490,  16442,  16671,  17878, 
/* msg =    211, deg =  6 */   6846,   7670,   9859,  11784,  14696,  16629, 
/* msg =    212, deg =  6 */   3485,   8872,   9816,  14725,  15970,  15973, 
/* msg =    213, deg =  6 */   1638,   5892,   9523,  14667,  16377,  18754, 
/* msg =    214, deg =  6 */   3147,   6084,   8501,  10285,  17652,  19947, 
/* msg =    215, deg =  6 */   1672,   7980,   9747,  14317,  14815,  16065, 
/* msg =    216, deg =  6 */    803,   1783,   6312,  11719,  13009,  18860, 
/* msg =    217, deg =  6 */    398,   3660,   4892,  10649,  12199,  16543, 
/* msg =    218, deg =  6 */   7183,   7307,   8279,  10948,  11060,  13783, 
/* msg =    219, deg =  6 */   5421,   6277,   6318,  10834,  11803,  13290, 
/* msg =    220, deg =  6 */    294,   4795,   8182,  10107,  15061,  19512, 
/* msg =    221, deg =  6 */   6341,   7576,   9780,  14483,  14570,  17327, 
/* msg =    222, deg =  6 */   5425,   7278,   8310,  11262,  14429,  15001, 
/* msg =    223, deg =  6 */   2136,   7054,   7124,  13385,  13534,  14862, 
/* msg =    224, deg =  6 */   1262,   7838,   9659,  12265,  13371,  15249, 
/* msg =    225, deg =  6 */   6083,   8990,   9140,  17225,  17624,  17898, 
/* msg =    226, deg =  6 */   1609,   2045,   5693,  14835,  15160,  18587, 
/* msg =    227, deg =  6 */   1148,   2997,   3294,  12454,  16169,  19786, 
/* msg =    228, deg =  6 */   2309,   4504,   4906,  10005,  13030,  17498, 
/* msg =    229, deg =  6 */   3665,   4312,   4713,  11721,  12626,  14264, 
/* msg =    230, deg =  6 */     82,   3373,   8470,  13817,  16892,  19298, 
/* msg =    231, deg =  6 */   4101,   6053,   8024,  13297,  15040,  16556, 
/* msg =    232, deg =  6 */   2543,   3193,   4833,  10968,  14641,  15729, 
/* msg =    233, deg =  6 */   1523,   1604,   3103,  12830,  13865,  19912, 
/* msg =    234, deg =  6 */    266,   1291,   6173,  11386,  13303,  14559, 
/* msg =    235, deg =  6 */    744,   1543,   8739,  14138,  17776,  19805, 
/* msg =    236, deg =  6 */   2492,   7089,   9015,  11310,  16909,  18344, 
/* msg =    237, deg =  6 */   3299,   4331,   5048,  13391,  15505,  16692, 
/* msg =    238, deg =  6 */    233,    302,   9060,  14198,  14347,  15622, 
/* msg =    239, deg =  6 */   3065,   3835,   8552,  12827,  14830,  17707, 
/* msg =    240, deg =  6 */   1199,   2907,   9362,  12607,  14328,  14447, 
/* msg =    241, deg =  6 */   2178,   6585,   9697,  12934,  14065,  15465, 
/* msg =    242, deg =  6 */   3445,   7279,   9274,  10507,  10736,  12540, 
/* msg =    243, deg =  6 */   1714,   3013,   9886,  10559,  13130,  14296, 
/* msg =    244, deg =  6 */   4291,   5225,   9622,  10201,  10870,  16744, 
/* msg =    245, deg =  6 */   8767,   9182,   9863,  11753,  13962,  18085, 
/* msg =    246, deg =  6 */   1905,   2319,   4849,  10392,  17379,  19369, 
/* msg =    247, deg =  6 */    527,   5760,   6416,  11365,  13530,  19012, 
/* msg =    248, deg =  6 */   4573,   5834,   7094,  12130,  18479,  19123, 
/* msg =    249, deg =  6 */   1053,   1503,   1590,  10307,  10342,  18334, 
/* msg =    250, deg =  6 */    145,   5652,   9276,  10759,  13223,  17015, 
/* msg =    251, deg =  6 */   4312,   6086,   9147,  12715,  13942,  18808, 
/* msg =    252, deg =  6 */   5732,   8458,   9106,  13192,  15501,  17220, 
/* msg =    253, deg =  6 */   5139,   8378,   9408,  10012,  16762,  17909, 
/* msg =    254, deg =  6 */    808,   5896,   8824,  14112,  15908,  16089, 
/* msg =    255, deg =  6 */   4715,   5067,   8771,  10772,  16030,  16299, 
/* msg =    256, deg =  6 */   1109,   5209,   8987,  14620,  16039,  18335, 
/* msg =    257, deg =  6 */   3709,   5708,   9451,  11333,  14936,  17634, 
/* msg =    258, deg =  6 */   2902,   5106,   9390,  14991,  15323,  19716, 
/* msg =    259, deg =  6 */   1476,   6819,   9435,  12479,  14473,  19778, 
/* msg =    260, deg =  6 */   3617,   4467,   6922,  11867,  13522,  15289, 
/* msg =    261, deg =  6 */   2209,   3751,   4663,  12711,  18448,  18973, 
/* msg =    262, deg =  6 */    390,    604,   1622,  10988,  16452,  18305, 
/* msg =    263, deg =  6 */   2203,   9382,   9959,  11215,  12375,  14305, 
/* msg =    264, deg =  6 */    967,   1366,   4105,  15972,  18714,  19372, 
/* msg =    265, deg =  6 */   1859,   5838,   6373,  11279,  16384,  17103, 
/* msg =    266, deg =  6 */   1527,   6614,   8901,  11739,  15567,  17891, 
/* msg =    267, deg =  6 */   1828,   2225,   6439,  12355,  13110,  19708, 
/* msg =    268, deg =  6 */   5260,   6143,   6386,  14234,  17817,  18706, 
/* msg =    269, deg =  6 */     92,   1122,   1155,  11369,  16709,  19363, 
/* msg =    270, deg =  6 */   1678,   2254,   5380,  16781,  17338,  17563, 
/* msg =    271, deg =  6 */   4506,   5538,   8063,  15452,  15950,  16329, 
/* msg =    272, deg =  6 */   1434,   4561,   9705,  12406,  12488,  17441, 
/* msg =    273, deg =  6 */   4696,   5093,   7749,  16712,  19081,  19564, 
/* msg =    274, deg =  6 */   1437,   1857,   1900,  11959,  18907,  18934, 
/* msg =    275, deg =  6 */   5329,   6886,   8908,  14951,  19195,  19626, 
/* msg =    276, deg =  6 */   6321,   6334,   9003,  11171,  13457,  14797, 
/* msg =    277, deg =  6 */    691,    704,   7389,  10329,  13893,  18671, 
/* msg =    278, deg =  6 */   4282,   4455,   8607,  11953,  18977,  19627, 
/* msg =    279, deg =  6 */   5526,   5785,   8844,  12820,  13378,  15534, 
/* msg =    280, deg =  6 */    631,   2152,   9835,  10344,  11111,  16308, 
/* msg =    281, deg =  6 */   1342,   7620,   8491,  13196,  15853,  16388, 
/* msg =    282, deg =  6 */    870,   4327,   6183,  13743,  16179,  16931, 
/* msg =    283, deg =  6 */   3499,   5197,   8621,  12200,  18084,  18289, 
/* msg =    284, deg =  6 */   1287,   6639,   7593,  14550,  14693,  18144, 
/* msg =    285, deg =  6 */   3031,   7904,   8334,  13066,  13160,  19388, 
/* msg =    286, deg =  6 */   1651,   5196,   5605,  11615,  14918,  16531, 
/* msg =    287, deg =  6 */   1715,   3908,   9091,  13551,  15873,  17310, 
/* msg =    288, deg =  6 */   1440,   1595,   8748,  11015,  14630,  15891, 
/* msg =    289, deg =  6 */   3755,   6206,   9094,  16146,  17226,  19352, 
/* msg =    290, deg =  6 */   2855,   4012,   5417,  11577,  15953,  16242, 
/* msg =    291, deg =  6 */   1545,   5627,   9701,  15940,  18211,  19473, 
/* msg =    292, deg =  6 */   1760,   6920,   9534,  17400,  18461,  18473, 
/* msg =    293, deg =  6 */   2518,   4784,   6454,  13899,  14089,  17325, 
/* msg =    294, deg =  6 */    975,   1690,   8269,  10204,  11450,  15324, 
/* msg =    295, deg =  6 */   3297,   3585,   7965,  14242,  16092,  19702, 
/* msg =    296, deg =  6 */    695,   7098,   7284,  13569,  16884,  18217, 
/* msg =    297, deg =  6 */    325,   2067,   7680,  14674,  15168,  19120, 
/* msg =    298, deg =  6 */   2163,   6422,   6463,  17124,  18094,  18637, 
/* msg =    299, deg =  6 */   2568,   4895,   5196,  15019,  17508,  18883, 
/* msg =    300, deg =  6 */   1475,   4599,   8480,  11071,  12856,  19549, 
/* msg =    301, deg =  6 */    623,   8964,   9386,  14480,  15164,  17897, 
/* msg =    302, deg =  6 */   3906,   7342,   8852,  12885,  16604,  19559, 
/* msg =    303, deg =  6 */   2766,   7401,   7763,  10518,  17134,  19978, 
/* msg =    304, deg =  6 */    262,   5057,   6152,  11020,  12531,  14528, 
/* msg =    305, deg =  6 */   3707,   6341,   6892,  11561,  11700,  15307, 
/* msg =    306, deg =  6 */   3905,   7392,   8123,  11873,  13119,  14749, 
/* msg =    307, deg =  6 */    237,    603,   3197,  15814,  18399,  19045, 
/* msg =    308, deg =  6 */   4362,   7038,   9803,  14551,  15705,  18494, 
/* msg =    309, deg =  6 */   2674,   5526,   5561,  11228,  13811,  16530, 
/* msg =    310, deg =  6 */   2726,   5049,   5902,  13030,  14251,  18003, 
/* msg =    311, deg =  6 */   1871,   3046,   3088,  11704,  13341,  19347, 
/* msg =    312, deg =  6 */   1691,   2400,   7410,  10523,  17876,  18959, 
/* msg =    313, deg =  6 */    671,   8639,   9934,  11372,  13591,  17002, 
/* msg =    314, deg =  6 */   4522,   5049,   7849,  10739,  11028,  17866, 
/* msg =    315, deg =  6 */   1078,   5614,   9785,  11151,  18973,  19407, 
/* msg =    316, deg =  6 */   2483,   7756,   8898,  11357,  16451,  18266, 
/* msg =    317, deg =  6 */   3064,   5935,   6423,  10830,  18184,  18795, 
/* msg =    318, deg =  6 */    515,   2450,   4745,  12042,  13887,  19770, 
/* msg =    319, deg =  6 */   6361,   8658,   9824,  12696,  12858,  17164, 
/* msg =    320, deg =  6 */   5697,   6588,   7770,  12397,  16607,  18800, 
/* msg =    321, deg =  6 */    676,   2822,   4727,  13535,  18847,  19683, 
/* msg =    322, deg =  6 */   7778,   8234,   9612,  13933,  16791,  17061, 
/* msg =    323, deg =  6 */   2058,   3718,   8338,  16032,  19092,  19253, 
/* msg =    324, deg =  6 */    987,   6664,   8517,  12293,  14814,  15663, 
/* msg =    325, deg =  6 */   7999,   9249,   9933,  16154,  18169,  18218, 
/* msg =    326, deg =  6 */    892,   1251,   2266,  11832,  14163,  18974, 
/* msg =    327, deg =  6 */   2621,   2672,   2943,  12095,  14405,  17312, 
/* msg =    328, deg =  6 */   8584,   9138,   9502,  11461,  14349,  16934, 
/* msg =    329, deg =  6 */   3291,   4052,   4283,  15471,  16006,  19521, 
/* msg =    330, deg =  6 */   1804,   3910,   5413,  11694,  13600,  17552, 
/* msg =    331, deg =  6 */   1799,   3746,   6747,  11866,  17384,  19265, 
/* msg =    332, deg =  6 */   1978,   2879,   5018,  12105,  15839,  18107, 
/* msg =    333, deg =  6 */   2393,   5281,   6278,  11672,  15514,  19284, 
/* msg =    334, deg =  6 */    211,   7776,   8335,  13553,  15977,  18017, 
/* msg =    335, deg =  6 */   5006,   8532,   9120,  10002,  11933,  12445, 
/* msg =    336, deg =  6 */   1084,   1431,   6120,  11450,  15925,  18723, 
/* msg =    337, deg =  6 */   1243,   2847,   9445,  10564,  10688,  13657, 
/* msg =    338, deg =  6 */   1668,   6482,   6781,  12826,  15960,  19076, 
/* msg =    339, deg =  6 */    687,   2647,   4631,  11653,  14409,  15161, 
/* msg =    340, deg =  6 */   1189,   6850,   9653,  15421,  16354,  18405, 
/* msg =    341, deg =  6 */    669,   6907,   9734,  11108,  12472,  12883, 
/* msg =    342, deg =  6 */   3753,   7690,   8543,  10917,  11248,  13899, 
/* msg =    343, deg =  6 */   4100,   5947,   9982,  10081,  11630,  15497, 
/* msg =    344, deg =  6 */   3646,   7501,   7763,  10100,  16012,  16679, 
/* msg =    345, deg =  6 */    360,   2408,   2778,  11724,  15991,  16794, 
/* msg =    346, deg =  6 */      4,    363,   8101,  10599,  17614,  17864, 
/* msg =    347, deg =  6 */   3650,   5511,   8012,  10162,  13016,  13648, 
/* msg =    348, deg =  6 */   2127,   4632,   6280,  13319,  15872,  16594, 
/* msg =    349, deg =  6 */   2060,   8535,   8985,  13985,  16892,  19052, 
/* msg =    350, deg =  6 */   1716,   5791,   6075,  15443,  17466,  17528, 
/* msg =    351, deg =  6 */   5646,   5900,   8308,  13702,  15328,  16322, 
/* msg =    352, deg =  6 */    651,    795,   9374,  12388,  12635,  19863, 
/* msg =    353, deg =  6 */   1296,   3566,   5991,  10801,  17877,  18197, 
/* msg =    354, deg =  6 */   1845,   2006,   8896,  12836,  16052,  17979, 
/* msg =    355, deg =  6 */   2609,   4779,   6430,  16122,  16512,  16671, 
/* msg =    356, deg =  6 */   5473,   5498,   8271,  15415,  17916,  19080, 
/* msg =    357, deg =  6 */    204,   1149,   9185,  13177,  13257,  16990, 
/* msg =    358, deg =  6 */    764,   4124,   8419,  12455,  12789,  14435, 
/* msg =    359, deg =  6 */    996,   6697,   8679,  15921,  17413,  19402, 
/* msg =    360, deg =  6 */   5799,   7270,   8194,  10634,  16108,  17756, 
/* msg =    361, deg =  6 */   6962,   8343,   9300,  12728,  15069,  17733, 
/* msg =    362, deg =  6 */   2523,   7938,   8093,  17991,  18593,  19937, 
/* msg =    363, deg =  6 */   6157,   6354,   8979,  10076,  15806,  19587, 
/* msg =    364, deg =  6 */   5555,   9583,   9879,  10500,  14631,  16782, 
/* msg =    365, deg =  6 */   7451,   8936,   9532,  14060,  15780,  17563, 
/* msg =    366, deg =  6 */   2378,   4035,   5798,  10872,  12010,  13761, 
/* msg =    367, deg =  6 */   3946,   5226,   8485,  10015,  13091,  13887, 
/* msg =    368, deg =  6 */   1413,   1696,   4873,  11234,  14622,  18541, 
/* msg =    369, deg =  6 */   2544,   8051,   9767,  15115,  16628,  18778, 
/* msg =    370, deg =  6 */    994,   4664,   8359,  11410,  18889,  19354, 
/* msg =    371, deg =  6 */   1877,   7341,   7537,  15860,  16625,  16659, 
/* msg =    372, deg =  6 */   1633,   2748,   6745,  10343,  16488,  17890, 
/* msg =    373, deg =  6 */    867,   3708,   8014,  11612,  12309,  19566, 
/* msg =    374, deg =  6 */   2545,   5312,   6956,  13293,  13894,  19049, 
/* msg =    375, deg =  6 */   7077,   7141,   8484,  10848,  11581,  17364, 
/* msg =    376, deg =  6 */   4067,   7407,   9110,  18162,  19856,  19931, 
/* msg =    377, deg =  6 */   2938,   4620,   9705,  13527,  14074,  17683, 
/* msg =    378, deg =  6 */   1909,   5708,   6969,  15312,  16904,  18274, 
/* msg =    379, deg =  6 */    865,    949,   1440,  11659,  15023,  17863, 
/* msg =    380, deg =  6 */   1349,   4651,   9614,  17385,  18205,  19153, 
/* msg =    381, deg =  6 */     66,   5050,   5426,  14682,  16017,  17148, 
/* msg =    382, deg =  6 */    187,   1082,   5747,  12927,  16015,  16702, 
/* msg =    383, deg =  6 */   2138,   2209,   9153,  12800,  15712,  19223, 
/* msg =    384, deg =  6 */   6528,   8553,   9958,  11274,  12039,  16240, 
/* msg =    385, deg =  6 */    480,   1706,   5890,  13264,  15047,  15965, 
/* msg =    386, deg =  6 */   3413,   3708,   6997,  11535,  18455,  19609, 
/* msg =    387, deg =  6 */   2756,   4339,   5229,  18039,  18578,  19690, 
/* msg =    388, deg =  6 */   1072,   1257,   1577,  12722,  15208,  19351, 
/* msg =    389, deg =  6 */   3914,   4671,   5524,  10385,  13325,  19227, 
/* msg =    390, deg =  6 */    243,   1059,   5462,  10651,  17529,  18173, 
/* msg =    391, deg =  6 */   7098,   8339,   8602,  12036,  16302,  16702, 
/* msg =    392, deg =  6 */   1432,   3680,   8039,  15159,  18214,  19087, 
/* msg =    393, deg =  6 */   3529,   6639,   9817,  11880,  15103,  15720, 
/* msg =    394, deg =  6 */   3759,   4889,   6585,  10058,  15238,  17164, 
/* msg =    395, deg =  6 */    874,   4006,   5196,  12638,  13521,  18610, 
/* msg =    396, deg =  6 */   5287,   6452,   9199,  14847,  16627,  19305, 
/* msg =    397, deg =  6 */    986,   2238,   5669,  11594,  11798,  17287, 
/* msg =    398, deg =  6 */    587,   3820,   9124,  15276,  16198,  17917, 
/* msg =    399, deg =  6 */   5656,   8733,   9846,  11125,  11626,  14964, 
/* msg =    400, deg =  6 */   4850,   5862,   9454,  13775,  17016,  19159, 
/* msg =    401, deg =  6 */   5590,   7172,   8253,  12027,  14619,  19352, 
/* msg =    402, deg =  6 */   1528,   3029,   7956,  10446,  12925,  17129, 
/* msg =    403, deg =  6 */   6191,   6590,   7010,  12027,  12963,  13818, 
/* msg =    404, deg =  6 */    486,   3065,   4028,  11384,  11860,  15022, 
/* msg =    405, deg =  6 */   2798,   5430,   7344,  11408,  16937,  19897, 
/* msg =    406, deg =  6 */   2752,   5374,   7971,  12297,  17996,  18091, 
/* msg =    407, deg =  6 */   2966,   3897,   5686,  11709,  14233,  14488, 
/* msg =    408, deg =  6 */    296,    852,   1425,  11461,  17112,  18959, 
/* msg =    409, deg =  6 */   2708,   5869,   8013,  14743,  17761,  18422, 
/* msg =    410, deg =  6 */   1389,   5214,   5648,  10617,  10812,  13343, 
/* msg =    411, deg =  6 */    858,   6210,   9662,  10995,  15556,  16551, 
/* msg =    412, deg =  6 */   7317,   9689,   9726,  12096,  14600,  16582, 
/* msg =    413, deg =  6 */    828,   4062,   7355,  10098,  15121,  18759, 
/* msg =    414, deg =  6 */    356,   8707,   9426,  12273,  13835,  18789, 
/* msg =    415, deg =  6 */   4150,   7040,   8513,  15653,  16564,  16767, 
/* msg =    416, deg =  6 */   4353,   9133,   9645,  10267,  16606,  19501, 
/* msg =    417, deg =  6 */   1562,   1849,   8643,  10701,  11989,  19467, 
/* msg =    418, deg =  6 */   1439,   6594,   6728,  12451,  12475,  13857, 
/* msg =    419, deg =  6 */   4250,   6078,   9279,  11221,  14387,  19973, 
/* msg =    420, deg =  6 */   1163,   2999,   6475,  10951,  13930,  17186, 
/* msg =    421, deg =  6 */   1188,   1612,   6822,  10704,  10790,  14842, 
/* msg =    422, deg =  6 */   1705,   2255,   2870,  13178,  18525,  18632, 
/* msg =    423, deg =  6 */   1911,   2762,   8861,  14032,  14283,  15914, 
/* msg =    424, deg =  6 */   3379,   6608,   6775,  15996,  16085,  18297, 
/* msg =    425, deg =  6 */   3434,   6998,   7016,  11366,  17097,  18368, 
/* msg =    426, deg =  6 */   3756,   3881,   4242,  13226,  18722,  19919, 
/* msg =    427, deg =  6 */   3491,   4652,   9822,  13547,  13856,  17388, 
/* msg =    428, deg =  6 */   1491,   1830,   9818,  12622,  15850,  16130, 
/* msg =    429, deg =  6 */    944,   5090,   9495,  13112,  18658,  19071, 
/* msg =    430, deg =  6 */    790,   1883,   7825,  11049,  12537,  16641, 
/* msg =    431, deg =  6 */   8322,   8694,   9270,  12020,  12916,  18528, 
/* msg =    432, deg =  6 */    487,   6806,   9815,  11649,  12162,  19594, 
/* msg =    433, deg =  6 */   4991,   7757,   9254,  13196,  13614,  18411, 
/* msg =    434, deg =  6 */    301,   4287,   9540,  15727,  19430,  19660, 
/* msg =    435, deg =  6 */   2194,   6148,   9217,  12603,  18082,  18794, 
/* msg =    436, deg =  6 */   2003,   2645,   7041,  14536,  16264,  18406, 
/* msg =    437, deg =  6 */   1136,   3388,   9560,  12395,  16426,  17134, 
/* msg =    438, deg =  6 */   4939,   6406,   6600,  12794,  13717,  15708, 
/* msg =    439, deg =  6 */     64,   2865,   9769,  10673,  14343,  19252, 
/* msg =    440, deg =  6 */   2839,   6551,   7913,  11044,  13279,  16667, 
/* msg =    441, deg =  6 */     72,    479,   6267,  11340,  17824,  18540, 
/* msg =    442, deg =  6 */   2517,   6610,   7085,  11385,  14952,  16777, 
/* msg =    443, deg =  6 */   7732,   9335,   9956,  14196,  15527,  17974, 
/* msg =    444, deg =  6 */    275,   4438,   6016,  16854,  17421,  19899, 
/* msg =    445, deg =  6 */   2037,   5169,   8054,  10668,  11195,  16445, 
/* msg =    446, deg =  6 */   1182,   7486,   7538,  16177,  16536,  18352, 
/* msg =    447, deg =  6 */   2540,   4267,   4952,  11817,  16347,  16834, 
/* msg =    448, deg =  6 */    190,   2726,   9022,  12413,  17228,  19518, 
/* msg =    449, deg =  6 */   1076,   6566,   8917,  10234,  12932,  14663, 
/* msg =    450, deg =  6 */   1717,   2195,   9169,  11619,  11910,  15798, 
/* msg =    451, deg =  6 */   3053,   5143,   5713,  11463,  11901,  16162, 
/* msg =    452, deg =  6 */   1004,   1630,   3189,  10743,  15735,  16035, 
/* msg =    453, deg =  6 */   1557,   4371,   5586,  10437,  14034,  16461, 
/* msg =    454, deg =  6 */    750,   2458,   7651,  10462,  11459,  12277, 
/* msg =    455, deg =  6 */    164,   2117,   5807,  12153,  13157,  16683, 
/* msg =    456, deg =  6 */   2867,   3001,   4007,  14023,  16112,  18379, 
/* msg =    457, deg =  6 */   5752,   7010,   9857,  12543,  14018,  17367, 
/* msg =    458, deg =  6 */   3928,   3971,   9762,  10623,  10994,  16861, 
/* msg =    459, deg =  6 */    149,   1861,   7491,  13431,  16573,  18039, 
/* msg =    460, deg =  6 */    398,   3295,   7043,  12549,  18993,  19828, 
/* msg =    461, deg =  6 */   6314,   8005,   9098,  13879,  14148,  14153, 
/* msg =    462, deg =  6 */     82,    248,   9737,  10507,  11755,  13659, 
/* msg =    463, deg =  6 */    309,   7676,   8233,  11140,  11885,  12536, 
/* msg =    464, deg =  6 */   1005,   1721,   2071,  12328,  14687,  16312, 
/* msg =    465, deg =  6 */   4565,   8041,   9043,  11261,  13356,  17692, 
/* msg =    466, deg =  6 */    911,   2812,   6137,  15157,  16116,  18599, 
/* msg =    467, deg =  6 */   1261,   1526,   5998,  12550,  15104,  19377, 
/* msg =    468, deg =  6 */   1696,   6163,   8193,  11115,  18281,  19328, 
/* msg =    469, deg =  6 */    790,   3822,   9170,  10674,  13575,  17254, 
/* msg =    470, deg =  6 */    991,   3474,   9222,  12809,  14020,  17816, 
/* msg =    471, deg =  6 */    470,   4178,   5516,  15313,  16540,  16825, 
/* msg =    472, deg =  6 */    902,   1291,   2293,  13081,  14460,  14599, 
/* msg =    473, deg =  6 */    642,   6257,   7633,  11740,  14840,  16242, 
/* msg =    474, deg =  6 */    688,   4190,   6150,  10164,  11636,  13446, 
/* msg =    475, deg =  6 */    245,    741,   8817,  13380,  13571,  16680, 
/* msg =    476, deg =  6 */   2440,   4253,   4895,  12260,  16724,  18150, 
/* msg =    477, deg =  6 */     90,   2029,   8525,  16264,  18169,  18830, 
/* msg =    478, deg =  6 */    654,   2874,   9214,  10434,  14315,  17078, 
/* msg =    479, deg =  6 */   5622,   7691,   9378,  12402,  12897,  19359, 
/* msg =    480, deg =  6 */     22,   2729,   8961,  15642,  15870,  19264, 
/* msg =    481, deg =  6 */   3159,   4315,   7128,  12803,  13742,  19928, 
/* msg =    482, deg =  6 */   1346,   4075,   6786,  10502,  17042,  19946, 
/* msg =    483, deg =  6 */   1594,   8602,   8612,  11903,  16238,  17864, 
/* msg =    484, deg =  6 */   2183,   3446,   4379,  14529,  15003,  18000, 
/* msg =    485, deg =  6 */   5691,   5960,   7562,  15867,  15948,  18275, 
/* msg =    486, deg =  6 */   3939,   6534,   7056,  11939,  15734,  19990, 
/* msg =    487, deg =  6 */   5556,   6298,   8997,  14967,  14987,  18829, 
/* msg =    488, deg =  6 */   2391,   5847,   6564,  11058,  11974,  13357, 
/* msg =    489, deg =  6 */   4259,   5214,   6820,  12446,  12651,  16760, 
/* msg =    490, deg =  6 */   4450,   6473,   8555,  13655,  16025,  18847, 
/* msg =    491, deg =  6 */    184,   6952,   9992,  10040,  11772,  11815, 
/* msg =    492, deg =  6 */   1106,   1500,   3153,  10186,  10517,  17954, 
/* msg =    493, deg =  6 */   4279,   6588,   7627,  12203,  13336,  16994, 
/* msg =    494, deg =  6 */   3250,   3760,   9334,  11356,  13552,  16552, 
/* msg =    495, deg =  6 */   3395,   3483,   5007,  15333,  16615,  18362, 
/* msg =    496, deg =  6 */   1011,   4700,   8712,  11230,  15152,  16923, 
/* msg =    497, deg =  6 */    560,    602,   5409,  10437,  16038,  18982, 
/* msg =    498, deg =  6 */   4894,   6260,   8792,  13335,  18220,  18792, 
/* msg =    499, deg =  6 */   3653,   5577,   9137,  10169,  12535,  17091, 
/* msg =    500, deg =  6 */   2282,   6393,   6930,  14908,  15555,  19155, 
/* msg =    501, deg =  6 */   1800,   6632,   9903,  12224,  13500,  15513, 
/* msg =    502, deg =  6 */   1616,   3777,   5983,  10547,  11909,  17930, 
/* msg =    503, deg =  6 */   2654,   6394,   9864,  12301,  16991,  18131, 
/* msg =    504, deg =  6 */   1027,   8155,   9641,  13140,  16569,  18811, 
/* msg =    505, deg =  6 */   2424,   5260,   9686,  13265,  14427,  16294, 
/* msg =    506, deg =  6 */   1406,   1961,   4191,  12048,  13955,  18279, 
/* msg =    507, deg =  6 */   1083,   3480,   6451,  10557,  15686,  18679, 
/* msg =    508, deg =  6 */    356,    815,   6105,  10876,  13183,  18854, 
/* msg =    509, deg =  6 */   1015,   7414,   9399,  10038,  17277,  18736, 
/* msg =    510, deg =  6 */    118,   4577,   5794,  11206,  11555,  18060, 
/* msg =    511, deg =  6 */   1434,   3547,   6311,  12311,  14932,  15457, 
/* msg =    512, deg =  6 */    704,   2860,   5970,  10223,  17088,  18048, 
/* msg =    513, deg =  6 */   2380,   3956,   4844,  14170,  17874,  18213, 
/* msg =    514, deg =  6 */   1182,   5079,   7288,  11458,  11928,  17149, 
/* msg =    515, deg =  6 */   4161,   4545,   5607,  15755,  16611,  17399, 
/* msg =    516, deg =  6 */   5554,   8224,   9620,  13548,  13753,  17735, 
/* msg =    517, deg =  6 */   2274,   4867,   8695,  12702,  14208,  18181, 
/* msg =    518, deg =  6 */   3426,   3624,   6866,  18120,  19472,  19997, 
/* msg =    519, deg =  6 */   2417,   4549,   8956,  17050,  17927,  18246, 
/* msg =    520, deg =  6 */    413,   3283,   7967,  12393,  16446,  18879, 
/* msg =    521, deg =  6 */   5737,   6710,   8009,  10780,  13402,  15542, 
/* msg =    522, deg =  6 */   1747,   3989,   7903,  14982,  15741,  18769, 
/* msg =    523, deg =  6 */   2242,   6686,   8252,  13162,  15732,  15890, 
/* msg =    524, deg =  6 */   3493,   4945,   6256,  11160,  17258,  19225, 
/* msg =    525, deg =  6 */   5096,   6783,   7770,  11597,  15737,  19874, 
/* msg =    526, deg =  6 */   3496,   6524,   7980,  14866,  19851,  19879, 
/* msg =    527, deg =  6 */    565,   4607,   5684,  11578,  13188,  16710, 
/* msg =    528, deg =  6 */   2215,   6649,   9375,  10813,  17577,  19287, 
/* msg =    529, deg =  6 */   5144,   5732,   9543,  10694,  11850,  15041, 
/* msg =    530, deg =  6 */   3337,   7828,   8579,  15638,  16027,  16630, 
/* msg =    531, deg =  6 */   5170,   5416,   7278,  11254,  17564,  17642, 
/* msg =    532, deg =  6 */   1923,   2721,   5488,  14892,  16936,  16965, 
/* msg =    533, deg =  6 */   1029,   1635,   8245,  10240,  11220,  18733, 
/* msg =    534, deg =  6 */   2010,   5714,   6914,  10901,  12709,  15523, 
/* msg =    535, deg =  6 */      3,   5366,   8128,  10377,  10913,  19284, 
/* msg =    536, deg =  6 */    795,   2097,   4614,  16176,  18293,  18435, 
/* msg =    537, deg =  6 */   2805,   3193,   6415,  10109,  11904,  11909, 
/* msg =    538, deg =  6 */   3285,   8977,   9993,  13233,  16842,  19212, 
/* msg =    539, deg =  6 */   4564,   8479,   8743,  16889,  17745,  19436, 
/* msg =    540, deg =  6 */   4345,   6323,   7241,  12351,  14452,  16673, 
/* msg =    541, deg =  6 */   1113,   4793,   8007,  14959,  17131,  19583, 
/* msg =    542, deg =  6 */    456,   4958,   7137,  12481,  15587,  16745, 
/* msg =    543, deg =  6 */    114,   3813,   5308,  12572,  14715,  19790, 
/* msg =    544, deg =  6 */    197,   1055,   3288,  10641,  16110,  18524, 
/* msg =    545, deg =  6 */   1589,   3695,   4123,  10532,  11618,  17542, 
/* msg =    546, deg =  6 */   1819,   6947,   8926,  13696,  16817,  17261, 
/* msg =    547, deg =  6 */   5181,   8624,   8654,  11742,  14342,  14526, 
/* msg =    548, deg =  6 */   4030,   5224,   9509,  14469,  18851,  19241, 
/* msg =    549, deg =  6 */   1742,   7331,   8652,  10778,  11633,  16055, 
/* msg =    550, deg =  6 */    496,   2934,   7927,  10721,  11272,  16739, 
/* msg =    551, deg =  6 */   3574,   7101,   8876,  10727,  12646,  17181, 
/* msg =    552, deg =  6 */   3232,   3474,   7054,  10471,  10784,  11475, 
/* msg =    553, deg =  6 */   1994,   2385,   6426,  11797,  12125,  15180, 
/* msg =    554, deg =  6 */   6853,   7320,   7962,  12411,  12600,  17537, 
/* msg =    555, deg =  6 */   2601,   6097,   7544,  13534,  13903,  14907, 
/* msg =    556, deg =  6 */   1771,   3970,   4934,  11425,  14571,  18113, 
/* msg =    557, deg =  6 */   3730,   4148,   4190,  11599,  13026,  13749, 
/* msg =    558, deg =  6 */   4746,   5187,   9246,  17376,  19073,  19410, 
/* msg =    559, deg =  6 */    618,   4961,   5806,  17097,  17827,  18394, 
/* msg =    560, deg =  6 */   1095,   3885,   8737,  11330,  11529,  13331, 
/* msg =    561, deg =  6 */    809,   1443,   1979,  14044,  15424,  16660, 
/* msg =    562, deg =  6 */   6620,   7912,   8286,  12479,  15382,  18592, 
/* msg =    563, deg =  6 */   1024,   7753,   8206,  10309,  18036,  19458, 
/* msg =    564, deg =  6 */   2824,   9351,   9482,  10070,  13423,  18444, 
/* msg =    565, deg =  6 */   2769,   5840,   6364,  13989,  19285,  19498, 
/* msg =    566, deg =  6 */    511,   2523,   3695,  11537,  12352,  17211, 
/* msg =    567, deg =  6 */   6352,   6724,   7126,  12997,  14504,  14768, 
/* msg =    568, deg =  6 */     78,   2637,   6243,  13888,  14491,  14987, 
/* msg =    569, deg =  6 */   1008,   2243,   3296,  11376,  14857,  16220, 
/* msg =    570, deg =  6 */   3957,   5619,   7185,  11564,  11734,  17456, 
/* msg =    571, deg =  6 */   2751,   4025,   7664,  10717,  10736,  13120, 
/* msg =    572, deg =  6 */   4414,   8904,   9636,  10560,  11062,  11172, 
/* msg =    573, deg =  6 */   4796,   6034,   9957,  11116,  11793,  14106, 
/* msg =    574, deg =  6 */   2809,   7312,   7694,  14582,  16447,  19152, 
/* msg =    575, deg =  6 */   1232,   7259,   9456,  12270,  15577,  17169, 
/* msg =    576, deg =  6 */    583,    873,   4771,  12164,  14329,  14386, 
/* msg =    577, deg =  6 */   4953,   5826,   5971,  12232,  13056,  17236, 
/* msg =    578, deg =  6 */    538,   2269,   3145,  13459,  14688,  16980, 
/* msg =    579, deg =  6 */   1325,   6582,   9130,  11001,  15644,  19105, 
/* msg =    580, deg =  6 */   4176,   9106,   9665,  14835,  15778,  19224, 
/* msg =    581, deg =  6 */   1914,   1948,   6711,  10958,  15770,  16683, 
/* msg =    582, deg =  6 */    442,   6097,   9017,  17673,  18195,  18862, 
/* msg =    583, deg =  6 */    772,   4392,   7195,  13861,  16943,  17536, 
/* msg =    584, deg =  6 */    478,   4298,   7773,  10663,  11858,  16329, 
/* msg =    585, deg =  6 */   3499,   4414,   9715,  11292,  14472,  19659, 
/* msg =    586, deg =  6 */   2083,   6559,   9244,  16548,  17225,  18520, 
/* msg =    587, deg =  6 */    730,   2760,   9232,  14542,  14690,  17833, 
/* msg =    588, deg =  6 */   2926,   8839,   9346,  13496,  15361,  16287, 
/* msg =    589, deg =  6 */    176,   5051,   7127,  11956,  15346,  17702, 
/* msg =    590, deg =  6 */   4010,   6883,   8991,  10450,  15634,  16176, 
/* msg =    591, deg =  6 */    518,   3091,   5840,  13242,  16882,  18716, 
/* msg =    592, deg =  6 */   2088,   6415,   9798,  13069,  17645,  19616, 
/* msg =    593, deg =  6 */   1347,   3597,   9883,  11654,  15246,  19808, 
/* msg =    594, deg =  6 */   1457,   4179,   5924,  11293,  12558,  14154, 
/* msg =    595, deg =  6 */   2093,   5528,   9569,  10782,  14212,  16100, 
/* msg =    596, deg =  6 */    279,    288,   9008,  11167,  15094,  17324, 
/* msg =    597, deg =  6 */   2008,   3528,   8422,  10181,  14348,  19641, 
/* msg =    598, deg =  6 */     79,   6467,   8448,  15111,  16281,  18295, 
/* msg =    599, deg =  6 */   2752,   4833,   4863,  11315,  18725,  19737, 
/* msg =    600, deg =  6 */    823,   3189,   8801,  11000,  12725,  15529, 
/* msg =    601, deg =  6 */   2977,   9266,   9376,  12639,  12703,  16342, 
/* msg =    602, deg =  6 */   3859,   9121,   9220,  13134,  13542,  18983, 
/* msg =    603, deg =  6 */      3,   1011,   8272,  11499,  13613,  19634, 
/* msg =    604, deg =  6 */   4104,   5917,   6616,  17859,  18574,  18591, 
/* msg =    605, deg =  6 */   4592,   5354,   7437,  16763,  18239,  18243, 
/* msg =    606, deg =  6 */   1241,   3881,   8027,  15698,  16219,  18870, 
/* msg =    607, deg =  6 */   3602,   5441,   6867,  10502,  10503,  10806, 
/* msg =    608, deg =  6 */   1008,   5707,   9353,  12465,  14239,  19757, 
/* msg =    609, deg =  6 */   1419,   4543,   5286,  10512,  14095,  16098, 
/* msg =    610, deg =  6 */   3508,   3744,   9194,  10751,  11693,  19999, 
/* msg =    611, deg =  6 */   1262,   2351,   4799,  12228,  15566,  17196, 
/* msg =    612, deg =  6 */   7560,   8616,   9820,  12125,  19642,  19783, 
/* msg =    613, deg =  6 */   3270,   5747,   7531,  12798,  13324,  16730, 
/* msg =    614, deg =  6 */    192,   5249,   6708,  11552,  12348,  16376, 
/* msg =    615, deg =  6 */   1284,   1851,   2548,  10206,  10901,  16783, 
/* msg =    616, deg =  6 */   3679,   4891,   5599,  10079,  12992,  18224, 
/* msg =    617, deg =  6 */   1918,   7263,   8622,  11783,  12310,  13925, 
/* msg =    618, deg =  6 */   2810,   5624,   7770,  16999,  17717,  18226, 
/* msg =    619, deg =  6 */   3052,   5815,   9983,  10161,  16675,  17915, 
/* msg =    620, deg =  6 */    622,   3015,   6072,  10654,  11921,  14618, 
/* msg =    621, deg =  6 */   1888,   6378,   8924,  10196,  13807,  19541, 
/* msg =    622, deg =  6 */   6039,   6529,   8752,  15175,  18389,  19931, 
/* msg =    623, deg =  6 */   2155,   3220,   8532,  11150,  12127,  16476, 
/* msg =    624, deg =  6 */   2331,   2467,   2563,  12697,  15902,  16139, 
/* msg =    625, deg =  6 */   6989,   7966,   9103,  12624,  13162,  19500, 
/* msg =    626, deg =  6 */   4253,   5640,   8465,  12187,  17815,  18314, 
/* msg =    627, deg =  6 */   3356,   7475,   8988,  10711,  16237,  16270, 
/* msg =    628, deg =  6 */   3464,   5927,   9952,  13676,  14130,  15477, 
/* msg =    629, deg =  6 */    973,   1425,   8219,  15089,  15634,  19459, 
/* msg =    630, deg =  6 */   1545,   3951,   7529,  13109,  17434,  17654, 
/* msg =    631, deg =  6 */   2259,   4488,   8422,  10636,  10669,  12690, 
/* msg =    632, deg =  6 */   3249,   5903,   6505,  14123,  14140,  14482, 
/* msg =    633, deg =  6 */   2299,   4214,   4348,  13652,  14388,  15770, 
/* msg =    634, deg =  6 */   3464,   5365,   9476,  11688,  12867,  18848, 
/* msg =    635, deg =  6 */   1648,   6555,   7181,  11894,  11987,  15702, 
/* msg =    636, deg =  6 */   1703,   2603,   8880,  13175,  17463,  17520, 
/* msg =    637, deg =  6 */    500,   3644,   7133,  10927,  12174,  15176, 
/* msg =    638, deg =  6 */   3016,   6202,   8813,  11496,  16444,  19642, 
/* msg =    639, deg =  6 */   3017,   5365,   6164,  11468,  15527,  19319, 
/* msg =    640, deg =  6 */   1770,   2656,   3017,  10073,  10668,  15155, 
/* msg =    641, deg =  6 */    722,   7034,   9646,  13851,  16617,  19172, 
/* msg =    642, deg =  6 */   3032,   3287,   4775,  15591,  16901,  18826, 
/* msg =    643, deg =  6 */   1003,   5432,   6498,  10423,  10603,  14839, 
/* msg =    644, deg =  6 */    237,    797,   6642,  10111,  14278,  16655, 
/* msg =    645, deg =  6 */   5233,   5538,   7232,  14785,  16878,  18799, 
/* msg =    646, deg =  6 */    194,    559,   8701,  12118,  17819,  18944, 
/* msg =    647, deg =  6 */   2996,   3878,   9164,  14393,  14526,  17310, 
/* msg =    648, deg =  6 */   2676,   3285,   5659,  14126,  15919,  19889, 
/* msg =    649, deg =  6 */   1652,   1926,   6502,  12143,  15054,  18815, 
/* msg =    650, deg =  6 */   2468,   2563,   4045,  11680,  14691,  14858, 
/* msg =    651, deg =  6 */    132,   4628,   7099,  11298,  15880,  15996, 
/* msg =    652, deg =  6 */    276,   2912,   7905,  12806,  17562,  17922, 
/* msg =    653, deg =  6 */   3397,   3492,   8253,  12089,  12525,  17583, 
/* msg =    654, deg =  6 */     15,    369,    473,  10170,  12216,  17789, 
/* msg =    655, deg =  6 */   4274,   5558,   6567,  14035,  16110,  16215, 
/* msg =    656, deg =  6 */   3697,   3941,   8031,  10575,  11017,  16141, 
/* msg =    657, deg =  6 */    983,   3880,   7326,  18988,  19137,  19353, 
/* msg =    658, deg =  6 */   3554,   8157,   9918,  11032,  11880,  13725, 
/* msg =    659, deg =  6 */   5322,   6718,   9054,  18410,  18697,  19820, 
/* msg =    660, deg =  6 */   1372,   3095,   5977,  13496,  14841,  16989, 
/* msg =    661, deg =  6 */   1575,   1693,   3490,  10334,  11246,  19593, 
/* msg =    662, deg =  6 */   6917,   8425,   9676,  14654,  16042,  19259, 
/* msg =    663, deg =  6 */   1341,   2499,   3449,  11127,  14499,  14807, 
/* msg =    664, deg =  6 */   3041,   5269,   6532,  12434,  13543,  14637, 
/* msg =    665, deg =  6 */    325,   5432,   9926,  11046,  12838,  19828, 
/* msg =    666, deg =  6 */    112,   1347,   6362,  14114,  14595,  17575, 
/* msg =    667, deg =  6 */    622,   2405,   5555,  12944,  13169,  14366, 
/* msg =    668, deg =  6 */   2289,   4286,   8877,  13129,  14433,  16167, 
/* msg =    669, deg =  6 */   6680,   7952,   7957,  14666,  18731,  18993, 
/* msg =    670, deg =  6 */   2439,   5965,   6220,  15185,  17443,  17637, 
/* msg =    671, deg =  6 */   3256,   5578,   7048,  12418,  17452,  19846, 
/* msg =    672, deg =  6 */    291,   3514,   7658,  10557,  11237,  13905, 
/* msg =    673, deg =  6 */   5637,   6132,   6700,  12436,  13976,  19325, 
/* msg =    674, deg =  6 */   7727,   8613,   8779,  13118,  17090,  18373, 
/* msg =    675, deg =  6 */   1319,   3123,   7395,  10053,  13321,  19782, 
/* msg =    676, deg =  6 */    868,   2043,   9766,  12623,  13804,  14351, 
/* msg =    677, deg =  6 */   2146,   2472,   6685,  13838,  18135,  18401, 
/* msg =    678, deg =  6 */   1332,   1464,   8969,  12071,  15065,  16644, 
/* msg =    679, deg =  6 */   1680,   1998,   5592,  11573,  11684,  19372, 
/* msg =    680, deg =  6 */   1708,   4228,   4509,  11082,  14729,  15000, 
/* msg =    681, deg =  6 */    214,   2730,   8100,  13660,  17212,  17846, 
/* msg =    682, deg =  6 */    286,   1179,   2740,  15730,  16169,  18001, 
/* msg =    683, deg =  6 */   3036,   3533,   3816,  11769,  12984,  13652, 
/* msg =    684, deg =  6 */   1077,   1195,   5812,  11161,  16651,  17250, 
/* msg =    685, deg =  6 */   3049,   6324,   6601,  12079,  14234,  19962, 
/* msg =    686, deg =  6 */   1860,   1926,   6393,  10594,  11873,  17686, 
/* msg =    687, deg =  6 */   8276,   9054,   9256,  10855,  12007,  14181, 
/* msg =    688, deg =  6 */   5300,   6715,   6908,  10798,  11749,  19419, 
/* msg =    689, deg =  6 */   2754,   3465,   9636,  11316,  13774,  15254, 
/* msg =    690, deg =  6 */   5529,   5935,   9194,  13230,  16312,  17820, 
/* msg =    691, deg =  6 */   5115,   5139,   6372,  10644,  18197,  19416, 
/* msg =    692, deg =  6 */   6898,   7672,   9269,  13072,  13185,  17858, 
/* msg =    693, deg =  6 */   1898,   6115,   7246,  12308,  12548,  18433, 
/* msg =    694, deg =  6 */   6804,   8466,   9042,  12364,  15302,  15347, 
/* msg =    695, deg =  6 */   2914,   6093,   6399,  12578,  16575,  17514, 
/* msg =    696, deg =  6 */    647,   5565,   6174,  11833,  14581,  15452, 
/* msg =    697, deg =  6 */    256,   3740,   9289,  13162,  18047,  19264, 
/* msg =    698, deg =  6 */    850,   5134,   6127,  10838,  12389,  18692, 
/* msg =    699, deg =  6 */   4648,   7563,   8781,  13183,  15039,  15072, 
/* msg =    700, deg =  6 */    431,   8332,   9858,  12581,  12651,  19856, 
/* msg =    701, deg =  6 */   3392,   4888,   5825,  10992,  16322,  19141, 
/* msg =    702, deg =  6 */   2076,   3133,   9409,  12358,  16687,  19104, 
/* msg =    703, deg =  6 */    825,   7613,   8262,  10151,  11147,  19707, 
/* msg =    704, deg =  6 */   2135,   8984,   8991,  11593,  16193,  18252, 
/* msg =    705, deg =  6 */   3338,   4625,   8883,  11327,  13834,  17079, 
/* msg =    706, deg =  6 */     92,    464,   2803,  14735,  14936,  18925, 
/* msg =    707, deg =  6 */   5711,   6040,   7816,  12267,  14864,  19335, 
/* msg =    708, deg =  6 */   1044,   2738,   8069,  11269,  11786,  12906, 
/* msg =    709, deg =  6 */   6235,   6687,   9397,  10944,  14316,  16688, 
/* msg =    710, deg =  6 */   2137,   2380,   3706,  12380,  13579,  18306, 
/* msg =    711, deg =  6 */    177,   1534,   4656,  13061,  15619,  17951, 
/* msg =    712, deg =  6 */   4394,   6795,   8308,  17717,  17997,  19528, 
/* msg =    713, deg =  6 */   3519,   3742,   7239,  14593,  14794,  16181, 
/* msg =    714, deg =  6 */    733,   6673,   8916,  14050,  14577,  19994, 
/* msg =    715, deg =  6 */   1863,   2503,   9805,  13313,  15088,  19788, 
/* msg =    716, deg =  6 */   5364,   5505,   7763,  13246,  14202,  16971, 
/* msg =    717, deg =  6 */   1046,   4182,   7717,  10880,  16383,  16738, 
/* msg =    718, deg =  6 */   1445,   5460,   9188,  13785,  15657,  19898, 
/* msg =    719, deg =  6 */   2534,   6433,   7068,  16597,  18392,  19669, 
/* msg =    720, deg =  6 */   7207,   7781,   7782,  12776,  14029,  15610, 
/* msg =    721, deg =  6 */   2108,   4130,   9720,  10727,  14739,  16176, 
/* msg =    722, deg =  6 */   3633,   8683,   9213,  12238,  13521,  16616, 
/* msg =    723, deg =  6 */     76,    468,   6318,  10135,  15110,  16383, 
/* msg =    724, deg =  6 */    677,   1061,   4562,  14676,  16852,  16868, 
/* msg =    725, deg =  6 */   1221,   2514,   7545,  13840,  14965,  15658, 
/* msg =    726, deg =  6 */    254,   5077,   7329,  13257,  15375,  19000, 
/* msg =    727, deg =  6 */   2791,   3140,   3401,  10690,  11112,  16689, 
/* msg =    728, deg =  6 */   1563,   3621,   8556,  11128,  16541,  16753, 
/* msg =    729, deg =  6 */   1630,   3998,   7568,  12421,  15318,  16073, 
/* msg =    730, deg =  6 */   3657,   7512,   9333,  10388,  13820,  19241, 
/* msg =    731, deg =  6 */    749,   2717,   7489,  13237,  14393,  19908, 
/* msg =    732, deg =  6 */   7134,   7972,   8104,  10924,  11503,  19699, 
/* msg =    733, deg =  6 */   2852,   3387,   5743,  10269,  10887,  15914, 
/* msg =    734, deg =  6 */   1852,   8360,   8393,  11227,  14715,  18845, 
/* msg =    735, deg =  6 */   1255,   2107,   4912,  13636,  16802,  18701, 
/* msg =    736, deg =  6 */   1509,   4619,   5975,  13557,  14634,  18747, 
/* msg =    737, deg =  6 */   2388,   5481,   8608,  16068,  17025,  17280, 
/* msg =    738, deg =  6 */   5786,   7823,   8351,  11350,  11382,  19974, 
/* msg =    739, deg =  6 */   4813,   6330,   6829,  10638,  12257,  17897, 
/* msg =    740, deg =  6 */   4401,   6040,   9890,  19045,  19435,  19913, 
/* msg =    741, deg =  6 */   2437,   7714,   9197,  15572,  16583,  18605, 
/* msg =    742, deg =  6 */    706,    846,   5625,  10540,  12715,  14309, 
/* msg =    743, deg =  6 */   1731,   5793,   7222,  11352,  17252,  18092, 
/* msg =    744, deg =  6 */   2273,   6554,   8400,  14045,  16930,  19942, 
/* msg =    745, deg =  6 */   7697,   8216,   9402,  10366,  16602,  19060, 
/* msg =    746, deg =  6 */    588,   4566,   6024,  15013,  18506,  18693, 
/* msg =    747, deg =  6 */    106,   1835,   2524,  10330,  13050,  19601, 
/* msg =    748, deg =  6 */    174,   1908,   3243,  13923,  17406,  18245, 
/* msg =    749, deg =  6 */   5190,   7911,   8213,  13444,  16884,  18458, 
/* msg =    750, deg =  6 */   2499,   7660,   9731,  13405,  16704,  18260, 
/* msg =    751, deg =  6 */   1244,   7109,   8345,  11032,  15979,  16407, 
/* msg =    752, deg =  6 */   1858,   7706,   8028,  11802,  12063,  19656, 
/* msg =    753, deg =  6 */   1637,   1882,   3290,  14350,  17212,  17437, 
/* msg =    754, deg =  6 */    992,   1742,   4851,  12621,  14498,  14811, 
/* msg =    755, deg =  6 */   1185,   6502,   7503,  18991,  19292,  19314, 
/* msg =    756, deg =  6 */   2790,   5624,   9381,  14068,  16280,  17435, 
/* msg =    757, deg =  6 */   3230,   6111,   8734,  11661,  16734,  17204, 
/* msg =    758, deg =  6 */   1907,   4405,   9934,  12530,  14027,  17299, 
/* msg =    759, deg =  6 */   5288,   5648,   7771,  14840,  15813,  16974, 
/* msg =    760, deg =  6 */   3410,   3460,   4919,  10353,  13469,  16217, 
/* msg =    761, deg =  6 */   3845,   6999,   9964,  13609,  18426,  19522, 
/* msg =    762, deg =  6 */   7424,   8926,   9743,  12427,  17760,  18450, 
/* msg =    763, deg =  6 */    435,    936,   2979,  10470,  13642,  18527, 
/* msg =    764, deg =  6 */     51,   2902,   8026,  11482,  12034,  18634, 
/* msg =    765, deg =  6 */   2903,   7848,   9883,  13082,  16112,  18435, 
/* msg =    766, deg =  6 */   1128,   9231,   9323,  10566,  12817,  19164, 
/* msg =    767, deg =  6 */   2647,   3935,   9865,  12404,  15844,  16642, 
/* msg =    768, deg =  6 */   5367,   5487,   7736,  12106,  16630,  17976, 
/* msg =    769, deg =  6 */    697,   1083,   9212,  14755,  19456,  19527, 
/* msg =    770, deg =  6 */   7474,   8209,   8413,  11231,  11690,  13531, 
/* msg =    771, deg =  6 */   4181,   4733,   5457,  12682,  16752,  19923, 
/* msg =    772, deg =  6 */   3404,   8999,   9347,  15342,  17579,  19742, 
/* msg =    773, deg =  6 */   2002,   3735,   6752,  11682,  13374,  14333, 
/* msg =    774, deg =  6 */   2957,   7236,   7568,  14677,  16170,  18693, 
/* msg =    775, deg =  6 */   4816,   5643,   7062,  12524,  13844,  19741, 
/* msg =    776, deg =  6 */   2068,   2727,   5245,  13559,  14977,  17660, 
/* msg =    777, deg =  6 */    739,   5853,   9947,  10396,  15261,  18546, 
/* msg =    778, deg =  6 */     18,   3081,   7975,  14430,  16164,  19491, 
/* msg =    779, deg =  6 */     56,   5471,   9142,  10831,  12161,  17570, 
/* msg =    780, deg =  6 */   5197,   5439,   5544,  11814,  16220,  16577, 
/* msg =    781, deg =  6 */    799,    865,   7818,  17498,  17666,  18595, 
/* msg =    782, deg =  6 */    627,   1488,   5342,  10160,  10975,  17171, 
/* msg =    783, deg =  6 */   3066,   8066,   9056,  11913,  16549,  19631, 
/* msg =    784, deg =  6 */   4757,   7703,   8307,  10767,  18132,  19501, 
/* msg =    785, deg =  6 */     61,   3000,   5403,  11814,  17504,  18144, 
/* msg =    786, deg =  6 */   4418,   6107,   9072,  12531,  13786,  19589, 
/* msg =    787, deg =  6 */   3278,   5851,   9513,  11926,  13844,  19870, 
/* msg =    788, deg =  6 */   3921,   6958,   9568,  11609,  12585,  14318, 
/* msg =    789, deg =  6 */   3675,   4916,   9457,  12590,  13253,  15387, 
/* msg =    790, deg =  6 */   3314,   5822,   7442,  11590,  17541,  18411, 
/* msg =    791, deg =  6 */   1592,   6989,   8635,  14786,  17357,  19419, 
/* msg =    792, deg =  6 */    359,   4204,   6819,  10113,  12277,  14626, 
/* msg =    793, deg =  6 */   1291,   1927,   5333,  10792,  17437,  18826, 
/* msg =    794, deg =  6 */    996,   2387,   6565,  12777,  14955,  17822, 
/* msg =    795, deg =  6 */    308,   3296,   7480,  11326,  12515,  12969, 
/* msg =    796, deg =  6 */     57,   4464,   8920,  13857,  17216,  18839, 
/* msg =    797, deg =  6 */   4273,   5279,   8695,  12177,  17358,  17479, 
/* msg =    798, deg =  6 */   3459,   3811,   9446,  11021,  13940,  17572, 
/* msg =    799, deg =  6 */   1185,   4564,   6972,  13280,  15128,  16979, 
/* msg =    800, deg =  6 */   1983,   8187,   8598,  15362,  17397,  18102, 
/* msg =    801, deg =  6 */   2422,   3241,   9619,  12424,  17344,  19275, 
/* msg =    802, deg =  6 */   3498,   4344,   5505,  13027,  13212,  15068, 
/* msg =    803, deg =  6 */   1597,   8961,   9134,  14175,  15273,  18121, 
/* msg =    804, deg =  6 */   1621,   8299,   8318,  10393,  11056,  15945, 
/* msg =    805, deg =  6 */   1195,   4074,   9552,  10356,  10694,  13155, 
/* msg =    806, deg =  6 */   1347,   1705,   9038,  10213,  10608,  14015, 
/* msg =    807, deg =  6 */   1277,   4307,   9434,  10812,  12973,  16908, 
/* msg =    808, deg =  6 */   1108,   3540,   5885,  10384,  14175,  19823, 
/* msg =    809, deg =  6 */   2209,   3458,   5456,  12957,  13621,  15895, 
/* msg =    810, deg =  6 */   3865,   5504,   8604,  11472,  15643,  17845, 
/* msg =    811, deg =  6 */   1990,   2185,   3619,  10954,  16220,  18416, 
/* msg =    812, deg =  6 */    578,   3878,   8353,  10144,  14796,  18596, 
/* msg =    813, deg =  6 */   5771,   6832,   9773,  11650,  18075,  19021, 
/* msg =    814, deg =  6 */   1202,   1741,   3938,  13739,  16153,  18139, 
/* msg =    815, deg =  6 */   3064,   3789,   9937,  10087,  11727,  19800, 
/* msg =    816, deg =  6 */   4858,   5124,   7434,  16228,  16819,  19845, 
/* msg =    817, deg =  6 */    953,   4655,   9453,  13414,  17080,  18932, 
/* msg =    818, deg =  6 */    664,   3127,   3145,  14298,  14382,  16919, 
/* msg =    819, deg =  6 */   1997,   5312,   8018,  11259,  11862,  16374, 
/* msg =    820, deg =  6 */    933,   4425,   8644,  11041,  14388,  14877, 
/* msg =    821, deg =  6 */   6292,   8993,   9243,  10129,  11231,  14946, 
/* msg =    822, deg =  6 */   1096,   1987,   6118,  11312,  18502,  18677, 
/* msg =    823, deg =  6 */   2128,   2754,   3396,  13457,  13473,  16993, 
/* msg =    824, deg =  6 */   5123,   5573,   8108,  10740,  12772,  16896, 
/* msg =    825, deg =  6 */   6694,   7704,   9366,  13963,  14556,  18280, 
/* msg =    826, deg =  6 */    752,   1315,   8748,  13282,  14152,  18788, 
/* msg =    827, deg =  6 */   2918,   6440,   8368,  10910,  16206,  18066, 
/* msg =    828, deg =  6 */   1310,   3438,   5780,  16296,  16509,  17119, 
/* msg =    829, deg =  6 */   8294,   9620,   9737,  10302,  11614,  14057, 
/* msg =    830, deg =  6 */   6928,   8882,   9052,  11917,  15033,  16378, 
/* msg =    831, deg =  6 */     42,   3226,   6323,  15277,  17392,  18228, 
/* msg =    832, deg =  6 */     59,    495,    906,  16410,  17095,  19885, 
/* msg =    833, deg =  6 */   4184,   7194,   9379,  13840,  18414,  18441, 
/* msg =    834, deg =  6 */   4539,   4559,   5233,  14228,  15278,  17447, 
/* msg =    835, deg =  6 */    759,   3784,   8586,  13789,  15631,  17102, 
/* msg =    836, deg =  6 */   1639,   3539,   4809,  10013,  11316,  11418, 
/* msg =    837, deg =  6 */    381,   6503,   6714,  10976,  13730,  18934, 
/* msg =    838, deg =  6 */    390,   7039,   7914,  12848,  15066,  15181, 
/* msg =    839, deg =  6 */   1404,   3086,   8895,  11205,  13628,  15453, 
/* msg =    840, deg =  6 */   8347,   8395,   9470,  12261,  17109,  17601, 
/* msg =    841, deg =  6 */   1353,   1450,   3622,  13811,  15861,  16444, 
/* msg =    842, deg =  6 */   1305,   2642,   5466,  12266,  15998,  18117, 
/* msg =    843, deg =  6 */   6217,   8840,   9954,  13818,  18761,  19114, 
/* msg =    844, deg =  6 */   1565,   3359,   7898,  11718,  18108,  18473, 
/* msg =    845, deg =  6 */   1836,   1943,   2181,  15286,  17635,  18362, 
/* msg =    846, deg =  6 */    728,   3557,   5582,  10399,  10411,  14240, 
/* msg =    847, deg =  6 */   2918,   6106,   9113,  13144,  14903,  17433, 
/* msg =    848, deg =  6 */   2457,   4264,   4675,  10559,  12784,  13788, 
/* msg =    849, deg =  6 */   1510,   8165,   9112,  13885,  14292,  16815, 
/* msg =    850, deg =  6 */   2011,   7330,   8275,  11443,  17591,  19499, 
/* msg =    851, deg =  6 */   2683,   2872,   8427,  10389,  11008,  14943, 
/* msg =    852, deg =  6 */    742,   4852,   5476,  10104,  10890,  19687, 
/* msg =    853, deg =  6 */   2013,   6558,   9204,  10427,  10682,  14724, 
/* msg =    854, deg =  6 */   1606,   8705,   9045,  11020,  11079,  18810, 
/* msg =    855, deg =  6 */   3576,   8015,   9106,  11856,  14229,  15005, 
/* msg =    856, deg =  6 */   1520,   2730,   4561,  10827,  15351,  17264, 
/* msg =    857, deg =  6 */   3129,   4117,   8402,  13641,  14134,  18488, 
/* msg =    858, deg =  6 */   3640,   8037,   9508,  12738,  13924,  17549, 
/* msg =    859, deg =  6 */   1045,   6003,   6247,  12655,  14513,  15334, 
/* msg =    860, deg =  6 */   1295,   5025,   7161,  13752,  17768,  19709, 
/* msg =    861, deg =  6 */   1971,   5388,   8289,  11950,  18284,  18595, 
/* msg =    862, deg =  6 */   1675,   6080,   9263,  13190,  13932,  17485, 
/* msg =    863, deg =  6 */   3829,   7169,   9435,  10295,  17695,  19289, 
/* msg =    864, deg =  6 */    564,   5571,   5735,  13964,  15818,  18648, 
/* msg =    865, deg =  6 */   3454,   5479,   7610,  13910,  13944,  15401, 
/* msg =    866, deg =  6 */   4621,   8619,   8707,  15674,  18380,  19465, 
/* msg =    867, deg =  6 */    501,   3253,   6904,  13132,  13771,  15711, 
/* msg =    868, deg =  6 */   2116,   4205,   7033,  13088,  15580,  16345, 
/* msg =    869, deg =  6 */    455,    837,   6363,  12865,  16013,  18876, 
/* msg =    870, deg =  6 */    387,    885,   6766,  10893,  16535,  16789, 
/* msg =    871, deg =  6 */   2668,   3911,   5333,  13965,  14180,  18086, 
/* msg =    872, deg =  6 */   2816,   5392,   8696,  10063,  10342,  13408, 
/* msg =    873, deg =  6 */   1311,   3733,   9830,  11184,  12467,  13751, 
/* msg =    874, deg =  6 */   4957,   4970,   9152,  13654,  15391,  16639, 
/* msg =    875, deg =  6 */   3559,   4598,   6061,  11782,  15670,  19838, 
/* msg =    876, deg =  6 */    267,   5526,   7775,  11672,  12821,  19561, 
/* msg =    877, deg =  6 */   2447,   8726,   9985,  12711,  15102,  18282, 
/* msg =    878, deg =  6 */    575,    797,   2348,  13334,  14570,  15586, 
/* msg =    879, deg =  6 */    601,   4517,   4973,  11472,  12341,  14139, 
/* msg =    880, deg =  6 */   1034,   2849,   8481,  11313,  16002,  17525, 
/* msg =    881, deg =  6 */   2418,   3026,   8126,  14135,  14301,  14666, 
/* msg =    882, deg =  6 */   4744,   5691,   9074,  11741,  13929,  14439, 
/* msg =    883, deg =  6 */   1687,   6152,   9625,  13209,  13476,  13696, 
/* msg =    884, deg =  6 */    188,   2794,   4867,  12954,  18408,  18780, 
/* msg =    885, deg =  6 */    869,   3822,   9147,  10918,  15897,  17611, 
/* msg =    886, deg =  6 */   1729,   2939,   5187,  10488,  12860,  18335, 
/* msg =    887, deg =  6 */   3896,   5542,   8212,  10140,  11071,  13348, 
/* msg =    888, deg =  6 */   2531,   2640,   7785,  14985,  19376,  19746, 
/* msg =    889, deg =  6 */   2797,   3933,   6652,  10457,  16608,  17676, 
/* msg =    890, deg =  6 */   2500,   3553,   8589,  10342,  11164,  13127, 
/* msg =    891, deg =  6 */   1482,   6720,   9557,  10332,  11223,  14963, 
/* msg =    892, deg =  6 */   4045,   6322,   6397,  10780,  12601,  17110, 
/* msg =    893, deg =  6 */   1258,   2984,   9788,  11491,  14795,  17414, 
/* msg =    894, deg =  6 */   2335,   6818,   7312,  12448,  15109,  19781, 
/* msg =    895, deg =  6 */   1062,   4293,   9192,  11414,  16655,  19886, 
/* msg =    896, deg =  6 */   1529,   7953,   9776,  10871,  15139,  18661, 
/* msg =    897, deg =  6 */    739,   7325,   7942,  13331,  19150,  19182, 
/* msg =    898, deg =  6 */   2133,   2709,   5783,  14736,  16469,  18852, 
/* msg =    899, deg =  6 */   1681,   2743,   9863,  12281,  12664,  14763, 
/* msg =    900, deg =  6 */   1692,   6432,   8535,  10036,  14443,  16811, 
/* msg =    901, deg =  6 */   1225,   8540,   8576,  10709,  16682,  17791, 
/* msg =    902, deg =  6 */   4210,   7803,   9211,  10698,  11343,  11422, 
/* msg =    903, deg =  6 */   1793,   3177,   5326,  15086,  16530,  18160, 
/* msg =    904, deg =  6 */   1445,   5353,   9600,  12046,  15678,  16439, 
/* msg =    905, deg =  6 */   1662,   4836,   9094,  10066,  11314,  15482, 
/* msg =    906, deg =  6 */    528,   1434,   7273,  12268,  14749,  18296, 
/* msg =    907, deg =  6 */   2059,   7230,   7771,  11576,  13085,  17617, 
/* msg =    908, deg =  6 */   1522,   7907,   8030,  10970,  18443,  19331, 
/* msg =    909, deg =  6 */   6563,   7254,   8746,  14481,  15735,  19858, 
/* msg =    910, deg =  6 */   2150,   3433,   7561,  15519,  18203,  19688, 
/* msg =    911, deg =  6 */   4479,   6859,   7999,  10539,  14641,  17508, 
/* msg =    912, deg =  6 */   3563,   5959,   8276,  10166,  11600,  19132, 
/* msg =    913, deg =  6 */   3007,   5366,   7764,  12029,  13046,  13398, 
/* msg =    914, deg =  6 */   1466,   4031,   8256,  14681,  19460,  19879, 
/* msg =    915, deg =  6 */   2493,   3471,   6568,  15765,  17021,  18028, 
/* msg =    916, deg =  6 */   2749,   5079,   8727,  10055,  10331,  15340, 
/* msg =    917, deg =  6 */    192,    285,   8381,  13755,  14943,  16919, 
/* msg =    918, deg =  6 */   3820,   6244,   7688,  10634,  14038,  15102, 
/* msg =    919, deg =  6 */   3447,   5232,   7542,  10522,  15701,  18896, 
/* msg =    920, deg =  6 */    242,   3719,   4313,  12807,  14105,  18333, 
/* msg =    921, deg =  6 */   1177,   4106,   7454,  14651,  15680,  17773, 
/* msg =    922, deg =  6 */   1953,   8651,   9777,  16222,  18028,  18511, 
/* msg =    923, deg =  6 */    981,   2650,   6860,  10337,  10364,  12636, 
/* msg =    924, deg =  6 */    307,    456,   3775,  10382,  16474,  18441, 
/* msg =    925, deg =  6 */   3063,   5976,   6333,  11077,  15472,  17315, 
/* msg =    926, deg =  6 */   1321,   4296,   7029,  12093,  15596,  19902, 
/* msg =    927, deg =  6 */     17,    404,   9332,  10779,  11712,  16998, 
/* msg =    928, deg =  6 */   5348,   5349,   5583,  14844,  17194,  17285, 
/* msg =    929, deg =  6 */   4822,   5719,   7978,  10738,  13597,  15793, 
/* msg =    930, deg =  6 */   4448,   7681,   9238,  13859,  15017,  18036, 
/* msg =    931, deg =  6 */   1183,   1184,   6074,  11119,  15604,  16037, 
/* msg =    932, deg =  6 */   2329,   4186,   8385,  12578,  12580,  18721, 
/* msg =    933, deg =  6 */   2773,   4179,   6492,  11283,  19236,  19536, 
/* msg =    934, deg =  6 */   5645,   6467,   7940,  13676,  16399,  18441, 
/* msg =    935, deg =  6 */   3053,   5299,   7389,  10914,  18256,  19618, 
/* msg =    936, deg =  6 */   3560,   4902,   9910,  10324,  10374,  19129, 
/* msg =    937, deg =  6 */   3578,   4436,   6750,  17459,  17692,  18044, 
/* msg =    938, deg =  6 */   2842,   5403,   8595,  11234,  12788,  16373, 
/* msg =    939, deg =  6 */   2129,   2319,   8972,  15073,  17325,  18379, 
/* msg =    940, deg =  6 */    473,   2533,   6470,  12538,  12874,  19166, 
/* msg =    941, deg =  6 */   4623,   6099,   8184,  10174,  14025,  15855, 
/* msg =    942, deg =  6 */    876,   5864,   9466,  17121,  17242,  19523, 
/* msg =    943, deg =  6 */    396,   8209,   8247,  12736,  13040,  13327, 
/* msg =    944, deg =  6 */   2338,   2436,   7658,  13210,  13954,  18491, 
/* msg =    945, deg =  6 */    612,    742,   7896,  11033,  17263,  18836, 
/* msg =    946, deg =  6 */   3646,   5452,   9372,  11363,  14227,  18317, 
/* msg =    947, deg =  6 */   1152,   5185,   8322,  14677,  17106,  19780, 
/* msg =    948, deg =  6 */   4821,   7976,   8476,  12372,  16048,  16631, 
/* msg =    949, deg =  6 */    616,   5408,   7841,  10431,  16637,  17970, 
/* msg =    950, deg =  6 */   2537,   4085,   7701,  10968,  13589,  16698, 
/* msg =    951, deg =  6 */   2044,   3642,   5828,  11174,  18370,  18409, 
/* msg =    952, deg =  6 */   7962,   8496,   8925,  14464,  14562,  18893, 
/* msg =    953, deg =  6 */   2087,   4028,   4872,  11754,  13862,  14614, 
/* msg =    954, deg =  6 */   1131,   3631,   7644,  10195,  11920,  13890, 
/* msg =    955, deg =  6 */   4567,   7308,   8076,  13199,  13747,  17318, 
/* msg =    956, deg =  6 */   3713,   5191,   5357,  13645,  14433,  19860, 
/* msg =    957, deg =  6 */   1729,   6419,   9957,  12828,  14835,  18070, 
/* msg =    958, deg =  6 */   3832,   5425,   6417,  12256,  15810,  16357, 
/* msg =    959, deg =  6 */   2505,   5872,   8435,  11535,  17755,  18340, 
/* msg =    960, deg =  6 */   2585,   5371,   7583,  14094,  17251,  19425, 
/* msg =    961, deg =  6 */   4157,   6353,   8995,  10802,  16731,  16921, 
/* msg =    962, deg =  6 */    547,   6941,   7933,  12950,  13341,  19270, 
/* msg =    963, deg =  6 */     79,   3867,   8927,  10273,  10613,  11478, 
/* msg =    964, deg =  6 */    652,   4969,   9878,  14996,  16135,  17402, 
/* msg =    965, deg =  6 */   5857,   9006,   9617,  12919,  16158,  16163, 
/* msg =    966, deg =  6 */   3480,   3912,   4633,  14568,  15538,  18384, 
/* msg =    967, deg =  6 */   6789,   7177,   9843,  10112,  15433,  18301, 
/* msg =    968, deg =  6 */    549,   3536,   9664,  14636,  15365,  17092, 
/* msg =    969, deg =  6 */   5170,   5675,   8873,  10548,  14524,  18462, 
/* msg =    970, deg =  6 */   4389,   5792,   6607,  13191,  14598,  17231, 
/* msg =    971, deg =  6 */    727,    819,   1345,  13949,  18195,  19179, 
/* msg =    972, deg =  6 */    633,   2307,   5521,  11396,  17693,  19543, 
/* msg =    973, deg =  6 */   2133,   4171,   5671,  12721,  14399,  15080, 
/* msg =    974, deg =  6 */   4005,   7267,   9115,  10330,  11572,  18649, 
/* msg =    975, deg =  6 */    598,   1784,   5197,  11663,  14047,  16406, 
/* msg =    976, deg =  6 */   3875,   7108,   7509,  10536,  12161,  16069, 
/* msg =    977, deg =  6 */    297,   3411,   8327,  15000,  15994,  17500, 
/* msg =    978, deg =  6 */   3515,   4878,   5463,  11782,  15561,  16306, 
/* msg =    979, deg =  6 */   1256,   6665,   9509,  12182,  15069,  15966, 
/* msg =    980, deg =  6 */   2108,   2615,   6147,  12135,  16418,  18113, 
/* msg =    981, deg =  6 */     34,   7666,   9210,  12782,  17093,  17902, 
/* msg =    982, deg =  6 */   7216,   7618,   9916,  12586,  14926,  18412, 
/* msg =    983, deg =  6 */   1820,   3148,   9015,  13597,  15193,  18357, 
/* msg =    984, deg =  6 */    319,   5597,   9278,  14017,  17400,  18421, 
/* msg =    985, deg =  6 */    370,   6681,   8668,  11345,  14950,  19671, 
/* msg =    986, deg =  6 */   2893,   4037,   5178,  12197,  16823,  17000, 
/* msg =    987, deg =  6 */    970,   1051,   7839,  12717,  15475,  19439, 
/* msg =    988, deg =  6 */   2588,   3592,   8835,  11335,  12527,  14060, 
/* msg =    989, deg =  6 */   5301,   8259,   9532,  11048,  13608,  15641, 
/* msg =    990, deg =  6 */   2426,   4321,   9491,  17520,  17847,  17848, 
/* msg =    991, deg =  6 */   2302,   5100,   9717,  11189,  13089,  15203, 
/* msg =    992, deg =  6 */   5809,   5860,   6682,  13550,  18338,  19605, 
/* msg =    993, deg =  6 */   5285,   7214,   9951,  11415,  14717,  16974, 
/* msg =    994, deg =  6 */   2678,   4843,   6485,  17400,  19107,  19765, 
/* msg =    995, deg =  6 */   2122,   4626,   5114,  12683,  12703,  16927, 
/* msg =    996, deg =  6 */    314,   1778,   9852,  12282,  13829,  19581, 
/* msg =    997, deg =  6 */   3709,   7584,   7722,  11400,  13850,  15641, 
/* msg =    998, deg =  6 */   1852,   2814,   7003,  11828,  13740,  14673, 
/* msg =    999, deg =  6 */   3337,   4800,   6514,  12756,  16058,  18931, 
/* msg =   1000, deg =  6 */    645,    744,   2811,  13447,  13762,  15884, 
/* msg =   1001, deg =  6 */   3138,   5345,   6320,  14007,  14608,  19744, 
/* msg =   1002, deg =  6 */   1488,   6515,   8698,  12682,  16337,  17116, 
/* msg =   1003, deg =  6 */    740,   5995,   7403,  10525,  16551,  16696, 
/* msg =   1004, deg =  6 */    848,   4524,   5282,  15092,  16897,  19681, 
/* msg =   1005, deg =  6 */   5081,   9310,   9924,  12295,  18420,  19821, 
/* msg =   1006, deg =  6 */    982,   4558,   5435,  10149,  15282,  17217, 
/* msg =   1007, deg =  6 */     27,   2208,   5771,  10341,  10497,  10632, 
/* msg =   1008, deg =  6 */   2300,   2975,   5934,  10081,  19258,  19420, 
/* msg =   1009, deg =  6 */   3206,   6686,   7261,  11336,  13126,  13907, 
/* msg =   1010, deg =  6 */   1382,   3615,   3826,  10843,  11010,  13847, 
/* msg =   1011, deg =  6 */   3639,   6202,   9317,  12545,  12875,  17046, 
/* msg =   1012, deg =  6 */   2813,   5200,   8897,  12927,  14762,  17503, 
/* msg =   1013, deg =  6 */   3073,   3935,   4343,  13015,  14899,  15179, 
/* msg =   1014, deg =  6 */   2685,   4516,   7869,  11479,  12111,  18528, 
/* msg =   1015, deg =  6 */   4001,   5288,   8743,  10376,  12684,  18591, 
/* msg =   1016, deg =  6 */   3414,   8240,   8963,  13797,  17476,  19466, 
/* msg =   1017, deg =  6 */   2453,   3238,   8820,  11961,  14716,  14817, 
/* msg =   1018, deg =  6 */   1753,   6646,   9492,  11303,  12893,  16756, 
/* msg =   1019, deg =  6 */    418,   1836,   2524,  12770,  12981,  13483, 
/* msg =   1020, deg =  6 */    723,   4946,   5143,  13129,  16370,  19095, 
/* msg =   1021, deg =  6 */    166,    995,   1492,  10224,  19066,  19938, 
/* msg =   1022, deg =  6 */    685,   4441,   5185,  10454,  11324,  18708, 
/* msg =   1023, deg =  6 */    838,   5351,   9623,  16363,  16899,  17432, 
/* msg =   1024, deg =  6 */   3886,   6782,   9455,  11540,  14515,  14819, 
/* msg =   1025, deg =  6 */   4571,   7549,   8057,  14006,  14897,  15988, 
/* msg =   1026, deg =  6 */   3688,   3710,   6068,  10639,  15885,  19098, 
/* msg =   1027, deg =  6 */   5398,   5616,   9159,  11084,  18672,  19120, 
/* msg =   1028, deg =  6 */   7480,   8289,   8729,  14939,  15824,  19791, 
/* msg =   1029, deg =  6 */   1587,   5332,   5604,  16368,  17479,  18033, 
/* msg =   1030, deg =  6 */   3915,   4109,   8278,  11819,  12518,  12695, 
/* msg =   1031, deg =  6 */   4650,   5410,   6875,  12224,  14060,  16773, 
/* msg =   1032, deg =  6 */    576,   6291,   8718,  13754,  15320,  17874, 
/* msg =   1033, deg =  6 */   3071,   5981,   8389,  11201,  12911,  17151, 
/* msg =   1034, deg =  6 */    685,   2971,   4775,  16532,  17382,  17591, 
/* msg =   1035, deg =  6 */   1750,   4477,   5709,  11078,  14052,  16835, 
/* msg =   1036, deg =  6 */    141,   3432,   6481,  10085,  10720,  14158, 
/* msg =   1037, deg =  6 */   1838,   3244,   5690,  11199,  17922,  19842, 
/* msg =   1038, deg =  6 */   4386,   4840,   7440,  10782,  12969,  16668, 
/* msg =   1039, deg =  6 */    529,   5870,   7887,  11330,  14077,  19336, 
/* msg =   1040, deg =  6 */   3567,   6523,   9266,  11699,  13906,  19358, 
/* msg =   1041, deg =  6 */   5128,   6856,   7417,  14628,  15992,  17637, 
/* msg =   1042, deg =  6 */   1662,   5975,   9250,  10482,  13334,  14065, 
/* msg =   1043, deg =  6 */   4781,   6482,   8277,  13295,  13604,  15428, 
/* msg =   1044, deg =  6 */   3193,   7415,   8293,  11159,  18504,  18896, 
/* msg =   1045, deg =  6 */   4665,   7275,   7814,  14428,  16129,  19524, 
/* msg =   1046, deg =  6 */   3060,   4556,   5293,  12000,  15220,  16729, 
/* msg =   1047, deg =  6 */   3763,   6413,   8073,  11605,  16509,  18174, 
/* msg =   1048, deg =  6 */   1624,   2416,   4548,  12876,  14547,  16425, 
/* msg =   1049, deg =  6 */   4020,   8016,   8324,  10869,  17007,  17896, 
/* msg =   1050, deg =  6 */     77,   4145,   9028,  11666,  16997,  18110, 
/* msg =   1051, deg =  6 */   2056,   4134,   8850,  10004,  18997,  19848, 
/* msg =   1052, deg =  6 */    154,   4474,   8774,  12000,  15328,  17986, 
/* msg =   1053, deg =  6 */   1037,   4029,   5351,  11689,  13360,  15332, 
/* msg =   1054, deg =  6 */    868,   3992,   9322,  12640,  14108,  18875, 
/* msg =   1055, deg =  6 */   1837,   7004,   7679,  12844,  15131,  18177, 
/* msg =   1056, deg =  6 */    721,    775,   8805,  11446,  12414,  19753, 
/* msg =   1057, deg =  6 */    141,   1420,   2733,  12218,  15408,  17697, 
/* msg =   1058, deg =  6 */   3585,   4845,   7168,  13530,  18056,  19749, 
/* msg =   1059, deg =  6 */   1410,   3273,   4306,  14579,  16801,  19750, 
/* msg =   1060, deg =  6 */   3337,   5726,   9965,  12503,  16381,  19119, 
/* msg =   1061, deg =  6 */   2371,   3394,   6851,  12394,  12859,  13474, 
/* msg =   1062, deg =  6 */     76,   2300,   5352,  11241,  15894,  18603, 
/* msg =   1063, deg =  6 */    984,   2539,   4396,  13078,  15763,  18136, 
/* msg =   1064, deg =  6 */    302,   1081,   9661,  10991,  11666,  14014, 
/* msg =   1065, deg =  6 */   1811,   7076,   8379,  10413,  11281,  18769, 
/* msg =   1066, deg =  6 */   6305,   6358,   8932,  11389,  17936,  19214, 
/* msg =   1067, deg =  6 */   3138,   3463,   6614,  13176,  17253,  17502, 
/* msg =   1068, deg =  6 */   5007,   7314,   9078,  17893,  18191,  18328, 
/* msg =   1069, deg =  6 */   1023,   1431,   2567,  10545,  17425,  18987, 
/* msg =   1070, deg =  6 */   4305,   9103,   9229,  10745,  10761,  15810, 
/* msg =   1071, deg =  6 */    200,   1075,   3096,  10557,  14155,  15871, 
/* msg =   1072, deg =  6 */   3913,   7979,   9102,  10183,  15501,  17081, 
/* msg =   1073, deg =  6 */   3515,   7163,   8204,  14330,  16470,  19767, 
/* msg =   1074, deg =  6 */   3403,   4553,   6546,  11253,  11801,  19778, 
/* msg =   1075, deg =  6 */   1076,   7262,   9729,  13369,  15061,  19577, 
/* msg =   1076, deg =  6 */   3237,   7736,   7989,  13928,  15831,  17772, 
/* msg =   1077, deg =  6 */   2795,   4570,   9748,  10937,  12385,  18271, 
/* msg =   1078, deg =  6 */   2407,   4963,   7004,  13384,  17599,  19016, 
/* msg =   1079, deg =  6 */   3759,   3877,   5600,  14697,  17783,  17795, 
/* msg =   1080, deg =  6 */   5920,   6272,   8250,  14425,  15458,  15689, 
/* msg =   1081, deg =  6 */   3229,   7393,   7523,  10308,  11507,  15629, 
/* msg =   1082, deg =  6 */   2557,   6988,   8618,  13205,  15321,  16862, 
/* msg =   1083, deg =  6 */   1716,   5110,   7431,  13721,  17029,  19449, 
/* msg =   1084, deg =  6 */   5378,   7132,   8162,  14615,  16280,  17291, 
/* msg =   1085, deg =  6 */   2095,   4372,   9175,  12699,  14545,  18111, 
/* msg =   1086, deg =  6 */   2720,   4587,   9485,  10999,  13931,  15432, 
/* msg =   1087, deg =  6 */   2917,   6400,   9143,  11288,  13295,  16165, 
/* msg =   1088, deg =  6 */    824,   8093,   9744,  14688,  19305,  19678, 
/* msg =   1089, deg =  6 */   2261,   3383,   4138,  10185,  12517,  19785, 
/* msg =   1090, deg =  6 */   2456,   4972,   6007,  11285,  12182,  18777, 
/* msg =   1091, deg =  6 */   1654,   4861,   9921,  13167,  13902,  14145, 
/* msg =   1092, deg =  6 */   2659,   6227,   9414,  10620,  12570,  18554, 
/* msg =   1093, deg =  6 */    488,   6656,   9872,  12273,  13268,  16841, 
/* msg =   1094, deg =  6 */    497,   2138,   3561,  15005,  18139,  18744, 
/* msg =   1095, deg =  6 */   2936,   4376,   4770,  11643,  15098,  15366, 
/* msg =   1096, deg =  6 */    796,   3374,   5853,  10154,  16001,  16243, 
/* msg =   1097, deg =  6 */    631,   4634,   4767,  10649,  17052,  17870, 
/* msg =   1098, deg =  6 */   2891,   4097,   9187,  12126,  15503,  19552, 
/* msg =   1099, deg =  6 */   2794,   3051,   8911,  10832,  13519,  16128, 
/* msg =   1100, deg =  6 */   5729,   6010,   8478,  11750,  15849,  17125, 
/* msg =   1101, deg =  6 */   2126,   8822,   9333,  14416,  17149,  18595, 
/* msg =   1102, deg =  6 */   1916,   4319,   5543,  11453,  16891,  19161, 
/* msg =   1103, deg =  6 */    864,   4702,   7035,  10256,  12134,  12897, 
/* msg =   1104, deg =  6 */   5005,   9302,   9953,  11853,  13073,  17881, 
/* msg =   1105, deg =  6 */   1957,   2669,   6881,  10807,  17509,  17955, 
/* msg =   1106, deg =  6 */   2670,   5889,   7351,  14729,  17089,  19895, 
/* msg =   1107, deg =  6 */   1324,   1658,   6697,  10366,  18555,  19087, 
/* msg =   1108, deg =  6 */    327,    969,   5011,  10479,  17700,  19691, 
/* msg =   1109, deg =  6 */   1191,   4233,   4842,  11189,  11308,  18948, 
/* msg =   1110, deg =  6 */   4727,   7145,   7489,  11420,  19053,  19405, 
/* msg =   1111, deg =  6 */   1680,   2063,   8040,  10722,  10748,  17712, 
/* msg =   1112, deg =  6 */   2009,   2974,   6663,  12983,  13346,  18791, 
/* msg =   1113, deg =  6 */   2894,   3815,   7767,  13900,  15574,  16522, 
/* msg =   1114, deg =  6 */   2059,   7077,   8221,  11534,  14230,  14444, 
/* msg =   1115, deg =  6 */   1947,   5786,   9842,  13933,  18823,  18841, 
/* msg =   1116, deg =  6 */    902,   1049,   3210,  10182,  11339,  14580, 
/* msg =   1117, deg =  6 */   2922,   7412,   7434,  11915,  12794,  17246, 
/* msg =   1118, deg =  6 */   2052,   2884,   3843,  10029,  12024,  12605, 
/* msg =   1119, deg =  6 */   4688,   5563,   9694,  12324,  12631,  16809, 
/* msg =   1120, deg =  6 */    930,   1510,   8916,  11628,  13680,  17182, 
/* msg =   1121, deg =  6 */   2359,   4669,   4975,  10371,  15663,  16657, 
/* msg =   1122, deg =  6 */      6,   2244,   4020,  10788,  13204,  15143, 
/* msg =   1123, deg =  6 */   2409,   4704,   5589,  15301,  16167,  17995, 
/* msg =   1124, deg =  6 */   1895,   6303,   9868,  11662,  13705,  16935, 
/* msg =   1125, deg =  6 */    198,   2164,   7254,  10065,  14596,  16334, 
/* msg =   1126, deg =  6 */    476,   3516,   5402,  16003,  17222,  19541, 
/* msg =   1127, deg =  6 */   2522,   3369,   4398,  13842,  15382,  16345, 
/* msg =   1128, deg =  6 */   3827,   8111,   9644,  15568,  19000,  19919, 
/* msg =   1129, deg =  6 */    125,   3680,   5449,  10191,  10506,  11927, 
/* msg =   1130, deg =  6 */    500,   2224,   4897,  10911,  15455,  19989, 
/* msg =   1131, deg =  6 */   2804,   2967,   3982,  12993,  16132,  18343, 
/* msg =   1132, deg =  6 */   2969,   6867,   8121,  12576,  16887,  19197, 
/* msg =   1133, deg =  6 */   2372,   4489,   6038,  10128,  10594,  18294, 
/* msg =   1134, deg =  6 */   3078,   6795,   9843,  14246,  16525,  16928, 
/* msg =   1135, deg =  6 */    655,   2231,   6773,  14535,  17092,  18016, 
/* msg =   1136, deg =  6 */   8012,   9196,   9479,  12654,  15035,  16327, 
/* msg =   1137, deg =  6 */   1801,   7674,   7818,  12618,  15181,  16010, 
/* msg =   1138, deg =  6 */   4723,   8390,   8395,  10061,  13795,  14115, 
/* msg =   1139, deg =  6 */   1732,   2480,   9850,  13770,  15206,  18338, 
/* msg =   1140, deg =  6 */     91,   1826,   7365,  13186,  14305,  19421, 
/* msg =   1141, deg =  6 */   1985,   4662,   6871,  13756,  15604,  19907, 
/* msg =   1142, deg =  6 */     19,     57,   2944,  10476,  12460,  13549, 
/* msg =   1143, deg =  6 */    890,   5434,   9131,  12371,  13993,  16538, 
/* msg =   1144, deg =  6 */   1647,   3357,   8144,  10891,  12397,  14760, 
/* msg =   1145, deg =  6 */    305,   7408,   8581,  10519,  17224,  19466, 
/* msg =   1146, deg =  6 */   1101,   1951,   8236,  13116,  15782,  15830, 
/* msg =   1147, deg =  6 */   2023,   2765,   5230,  12329,  12721,  13039, 
/* msg =   1148, deg =  6 */    309,    608,   4874,  14587,  17347,  18456, 
/* msg =   1149, deg =  6 */    888,   2844,   6643,  15887,  16563,  19941, 
/* msg =   1150, deg =  6 */   3854,   4520,   9154,  10887,  17376,  18782, 
/* msg =   1151, deg =  6 */   4458,   4548,   5521,  12669,  13310,  13964, 
/* msg =   1152, deg =  6 */    766,   3473,   6809,  10101,  17184,  19674, 
/* msg =   1153, deg =  6 */   6565,   9267,   9376,  12551,  16652,  18747, 
/* msg =   1154, deg =  6 */   2382,   6273,   7056,  14907,  16857,  19644, 
/* msg =   1155, deg =  6 */   6109,   6560,   7051,  16463,  17450,  18453, 
/* msg =   1156, deg =  6 */   3110,   6123,   7914,  11750,  13420,  16982, 
/* msg =   1157, deg =  6 */    649,   4312,   6187,  14707,  16692,  19034, 
/* msg =   1158, deg =  6 */   2361,   3380,   7190,  12659,  19428,  19631, 
/* msg =   1159, deg =  6 */   5601,   7513,   8431,  15439,  15625,  16902, 
/* msg =   1160, deg =  6 */   4165,   4231,   6739,  14200,  16416,  16765, 
/* msg =   1161, deg =  6 */    100,   3617,   3848,  15353,  15880,  16029, 
/* msg =   1162, deg =  6 */   4841,   6405,   7465,  10499,  13691,  19727, 
/* msg =   1163, deg =  6 */   1373,   5179,   5316,  10137,  18573,  19612, 
/* msg =   1164, deg =  6 */   4369,   4923,   9645,  10466,  13133,  15978, 
/* msg =   1165, deg =  6 */   2854,   5406,   9559,  12903,  14492,  17331, 
/* msg =   1166, deg =  6 */    786,   6289,   7432,  10664,  14376,  15473, 
/* msg =   1167, deg =  6 */     25,   2819,   6081,  10433,  12575,  14392, 
/* msg =   1168, deg =  6 */    623,   6036,   9626,  14427,  16428,  16528, 
/* msg =   1169, deg =  6 */   1645,   1701,   9910,  13088,  13742,  13767, 
/* msg =   1170, deg =  6 */    578,   4983,   5448,  15493,  16903,  19485, 
/* msg =   1171, deg =  6 */    975,   2547,   4288,  15621,  16464,  19326, 
/* msg =   1172, deg =  6 */   6619,   6659,   7192,  11470,  12128,  19629, 
/* msg =   1173, deg =  6 */    810,   7110,   7530,  10235,  10657,  15194, 
/* msg =   1174, deg =  6 */   3210,   7332,   9636,  13342,  15974,  16851, 
/* msg =   1175, deg =  6 */    178,   1504,   2078,  10465,  15157,  19240, 
/* msg =   1176, deg =  6 */     36,    340,   5118,  10549,  11565,  18740, 
/* msg =   1177, deg =  6 */    371,   4380,   6618,  15091,  16652,  19985, 
/* msg =   1178, deg =  6 */   1286,   9208,   9991,  11121,  14230,  15523, 
/* msg =   1179, deg =  6 */   4640,   4882,   9677,  10304,  13892,  14232, 
/* msg =   1180, deg =  6 */    614,   5832,   6027,  11553,  14857,  15754, 
/* msg =   1181, deg =  6 */   3257,   4248,   7039,  11355,  17773,  19134, 
/* msg =   1182, deg =  6 */    469,   1034,   1965,  13270,  15943,  16175, 
/* msg =   1183, deg =  6 */   2391,   7356,   9673,  14595,  15198,  17093, 
/* msg =   1184, deg =  6 */     88,   4209,   8143,  13962,  14236,  19921, 
/* msg =   1185, deg =  6 */   3765,   4455,   7131,  10352,  12629,  16910, 
/* msg =   1186, deg =  6 */   4111,   4854,   7810,  10840,  14792,  18524, 
/* msg =   1187, deg =  6 */   3876,   8585,   9063,  10663,  12342,  18477, 
/* msg =   1188, deg =  6 */    515,    985,   6362,  10181,  10562,  12433, 
/* msg =   1189, deg =  6 */   3058,   4749,   5735,  11374,  14333,  17106, 
/* msg =   1190, deg =  6 */   1193,   5066,   8405,  10695,  17978,  19647, 
/* msg =   1191, deg =  6 */   8292,   8411,   9354,  10670,  18130,  19690, 
/* msg =   1192, deg =  6 */   3901,   6112,   8023,  16233,  17187,  18363, 
/* msg =   1193, deg =  6 */    683,   2026,   2810,  14508,  17033,  19825, 
/* msg =   1194, deg =  6 */     93,    237,   8388,  15774,  17398,  17564, 
/* msg =   1195, deg =  6 */   1305,   3885,   8444,  10527,  13720,  17762, 
/* msg =   1196, deg =  6 */   4172,   5716,   9131,  15833,  16874,  16911, 
/* msg =   1197, deg =  6 */   3348,   7170,   8669,  10518,  13569,  17802, 
/* msg =   1198, deg =  6 */    161,   7626,   7754,  11097,  16068,  16318, 
/* msg =   1199, deg =  6 */   2342,   6410,   9888,  16818,  17044,  18312, 
/* msg =   1200, deg =  6 */   1945,   6418,   9216,  11101,  12451,  19832, 
/* msg =   1201, deg =  6 */    551,   6294,   6485,  10649,  12246,  15334, 
/* msg =   1202, deg =  6 */   4489,   5479,   6463,  12889,  15330,  18326, 
/* msg =   1203, deg =  6 */   3212,   3500,   9231,  12447,  13397,  15524, 
/* msg =   1204, deg =  6 */   5177,   5259,   5817,  12956,  16800,  19227, 
/* msg =   1205, deg =  6 */    555,   1038,   5736,  12242,  15999,  18146, 
/* msg =   1206, deg =  6 */   2929,   3424,   3551,  10793,  15615,  19853, 
/* msg =   1207, deg =  6 */   6105,   7176,   9225,  11030,  11394,  14099, 
/* msg =   1208, deg =  6 */   4323,   5682,   6056,  12965,  16354,  18608, 
/* msg =   1209, deg =  6 */   1094,   5077,   8275,  10229,  14538,  17673, 
/* msg =   1210, deg =  6 */    330,   1996,   2728,  13594,  17575,  19238, 
/* msg =   1211, deg =  6 */   5866,   7017,   9304,  15661,  17721,  18525, 
/* msg =   1212, deg =  6 */   1952,   3612,   9277,  12824,  18699,  19834, 
/* msg =   1213, deg =  6 */   2119,   6012,   8930,  10370,  14960,  19425, 
/* msg =   1214, deg =  6 */   3885,   4116,   9595,  10322,  11685,  14536, 
/* msg =   1215, deg =  6 */   2556,   6715,   9572,  11229,  17051,  18507, 
/* msg =   1216, deg =  6 */   1219,   1835,   6311,  10384,  12307,  14978, 
/* msg =   1217, deg =  6 */   1511,   4514,   8485,  10612,  11246,  14661, 
/* msg =   1218, deg =  6 */   1499,   1660,   6567,  11845,  12134,  18673, 
/* msg =   1219, deg =  6 */   3226,   4475,   6378,  16084,  17594,  17822, 
/* msg =   1220, deg =  6 */   3694,   5877,   7583,  11290,  12292,  14566, 
/* msg =   1221, deg =  6 */   2608,   3165,   8607,  14058,  14441,  17987, 
/* msg =   1222, deg =  6 */   4523,   5794,   6919,  15503,  19414,  19437, 
/* msg =   1223, deg =  6 */    972,   1574,   9918,  10211,  10313,  12109, 
/* msg =   1224, deg =  6 */   1858,   6287,   9924,  10541,  13068,  15358, 
/* msg =   1225, deg =  6 */    755,   1214,   2553,  12382,  17328,  18646, 
/* msg =   1226, deg =  6 */   1844,   2768,   3541,  14368,  16694,  19756, 
/* msg =   1227, deg =  6 */   5750,   8988,   9554,  10944,  13687,  17879, 
/* msg =   1228, deg =  6 */   1054,   2433,   7666,  12945,  17689,  17976, 
/* msg =   1229, deg =  6 */   2983,   3489,   7193,  13943,  15450,  18920, 
/* msg =   1230, deg =  6 */   2784,   3259,   6513,  13266,  16230,  16847, 
/* msg =   1231, deg =  6 */   8007,   8393,   9097,  12210,  13127,  19663, 
/* msg =   1232, deg =  6 */   3307,   8377,   8520,  11260,  14597,  15702, 
/* msg =   1233, deg =  6 */   3569,   5240,   9579,  10098,  11484,  15504, 
/* msg =   1234, deg =  6 */   3210,   3573,   3950,  14260,  15146,  16784, 
/* msg =   1235, deg =  6 */   2242,   2986,   6981,  12638,  16094,  16864, 
/* msg =   1236, deg =  6 */   4661,   7262,   7668,  10324,  10580,  11128, 
/* msg =   1237, deg =  6 */    572,   2054,   5131,  12485,  16913,  18719, 
/* msg =   1238, deg =  6 */   1224,   3378,   7335,  12417,  12668,  16304, 
/* msg =   1239, deg =  6 */    561,   3067,   9160,  15560,  16156,  18898, 
/* msg =   1240, deg =  6 */    148,    769,   7661,  12646,  13781,  16534, 
/* msg =   1241, deg =  6 */   4426,   5680,   5850,  10085,  15028,  16986, 
/* msg =   1242, deg =  6 */   2165,   5827,   6552,  14920,  15590,  17797, 
/* msg =   1243, deg =  6 */   3751,   4212,   6404,  11004,  16056,  16797, 
/* msg =   1244, deg =  6 */   6117,   7282,   8920,  13576,  14118,  18201, 
/* msg =   1245, deg =  6 */   3932,   6991,   7893,  12114,  13059,  19138, 
/* msg =   1246, deg =  6 */    321,   1674,   2723,  11189,  13313,  15632, 
/* msg =   1247, deg =  6 */    851,   8346,   8720,  14743,  15016,  17272, 
/* msg =   1248, deg =  6 */    699,   4496,   7226,  12066,  17428,  17577, 
/* msg =   1249, deg =  6 */    254,   1749,   2845,  11364,  14941,  15376, 
/* msg =   1250, deg =  6 */   1980,   2032,   3179,  10546,  10733,  15400, 
/* msg =   1251, deg =  6 */   1096,   2486,   4592,  12496,  15202,  16471, 
/* msg =   1252, deg =  6 */   3367,   3860,   5452,  12940,  19042,  19910, 
/* msg =   1253, deg =  6 */   1617,   2445,   4149,  10984,  18073,  18446, 
/* msg =   1254, deg =  6 */   4959,   5865,   6839,  12843,  14021,  18975, 
/* msg =   1255, deg =  6 */   2383,   3681,   5733,  11464,  17033,  18687, 
/* msg =   1256, deg =  6 */    524,   2750,   3208,  11417,  15107,  19786, 
/* msg =   1257, deg =  6 */   1804,   2438,   5403,  10829,  13627,  17830, 
/* msg =   1258, deg =  6 */   3243,   6569,   6774,  10516,  10538,  15266, 
/* msg =   1259, deg =  6 */   2100,   2110,   2487,  10970,  11051,  13899, 
/* msg =   1260, deg =  6 */    490,    730,   3170,  10931,  13786,  14390, 
/* msg =   1261, deg =  6 */   1393,   2662,   8185,  10625,  11779,  16830, 
/* msg =   1262, deg =  6 */   2525,   4030,   4078,  16386,  18716,  18877, 
/* msg =   1263, deg =  6 */   2583,   6802,   8651,  10346,  13299,  13975, 
/* msg =   1264, deg =  6 */   4126,   4760,   5903,  10063,  18484,  18859, 
/* msg =   1265, deg =  6 */   2233,   4477,   7874,  14980,  15852,  17313, 
/* msg =   1266, deg =  6 */   2132,   3397,   9554,  13367,  15570,  19715, 
/* msg =   1267, deg =  6 */   6585,   7642,   9013,  11179,  14503,  16838, 
/* msg =   1268, deg =  6 */    423,   4469,   5831,  16572,  18177,  18904, 
/* msg =   1269, deg =  6 */   1453,   7829,   7847,  14120,  18457,  18881, 
/* msg =   1270, deg =  6 */   1051,   4679,   7129,  10817,  13683,  13974, 
/* msg =   1271, deg =  6 */    917,   4532,   8044,  14537,  15058,  19495, 
/* msg =   1272, deg =  6 */   1869,   2358,   3322,  10473,  14183,  15990, 
/* msg =   1273, deg =  6 */     89,   1360,   8906,  11769,  14311,  17252, 
/* msg =   1274, deg =  6 */   4053,   7889,   8495,  14373,  14423,  19515, 
/* msg =   1275, deg =  6 */    555,   3903,   7595,  10127,  10781,  13577, 
/* msg =   1276, deg =  6 */   3328,   6727,   7919,  14190,  15149,  16266, 
/* msg =   1277, deg =  6 */   1067,   2377,   4018,  14868,  15379,  15671, 
/* msg =   1278, deg =  6 */   4147,   5113,   7939,  15456,  16863,  17599, 
/* msg =   1279, deg =  6 */   1249,   4098,   5661,  14176,  14560,  19829, 
/* msg =   1280, deg =  6 */    829,   2075,   3675,  10209,  14237,  18194, 
/* msg =   1281, deg =  6 */    213,   9274,   9575,  10324,  14741,  19084, 
/* msg =   1282, deg =  6 */    452,   1719,   7466,  11434,  14522,  15600, 
/* msg =   1283, deg =  6 */   1672,   5847,   8664,  11734,  16853,  19482, 
/* msg =   1284, deg =  6 */   1959,   3418,   6916,  16416,  16633,  17839, 
/* msg =   1285, deg =  6 */   4229,   4546,   9067,  14096,  15264,  18299, 
/* msg =   1286, deg =  6 */   1131,   5180,   6171,  12450,  17514,  18538, 
/* msg =   1287, deg =  6 */   3416,   5543,   6253,  16418,  16985,  19293, 
/* msg =   1288, deg =  6 */   1704,   4065,   7099,  15714,  19055,  19603, 
/* msg =   1289, deg =  6 */   3637,   6666,   6922,  10096,  18760,  18824, 
/* msg =   1290, deg =  6 */   2032,   8625,   9050,  12180,  18097,  18801, 
/* msg =   1291, deg =  6 */   3134,   3948,   4875,  11006,  17687,  17715, 
/* msg =   1292, deg =  6 */    143,   2431,   4252,  13769,  15060,  16276, 
/* msg =   1293, deg =  6 */   2026,   5097,   9213,  12255,  14667,  15494, 
/* msg =   1294, deg =  6 */   4486,   6738,   7519,  11617,  11954,  14760, 
/* msg =   1295, deg =  6 */   6117,   7482,   8496,  14042,  17278,  18797, 
/* msg =   1296, deg =  6 */   3384,   9043,   9714,  10662,  10835,  17719, 
/* msg =   1297, deg =  6 */    311,   2996,   4823,  10598,  11524,  14494, 
/* msg =   1298, deg =  6 */   2679,   4036,   5105,  12981,  13023,  15375, 
/* msg =   1299, deg =  6 */   1355,   6765,   8943,  11219,  11607,  19038, 
/* msg =   1300, deg =  6 */   3738,   7493,   9375,  12962,  15076,  19240, 
/* msg =   1301, deg =  6 */   1970,   3788,   4726,  10463,  10553,  16254, 
/* msg =   1302, deg =  6 */   4956,   7031,   9363,  10287,  12741,  13702, 
/* msg =   1303, deg =  6 */   4404,   7723,   9338,  11274,  12049,  17621, 
/* msg =   1304, deg =  6 */   1691,   6543,   8323,  10820,  11471,  17718, 
/* msg =   1305, deg =  6 */   7084,   7634,   9137,  12968,  19151,  19411, 
/* msg =   1306, deg =  6 */   5390,   7502,   8900,  13411,  14597,  18957, 
/* msg =   1307, deg =  6 */   2366,   2473,   7894,  15321,  16785,  18844, 
/* msg =   1308, deg =  6 */   2049,   5464,   6717,  11619,  14827,  17694, 
/* msg =   1309, deg =  6 */    465,   3938,   5553,  16604,  17172,  17623, 
/* msg =   1310, deg =  6 */   4346,   5944,   9995,  13179,  14919,  16316, 
/* msg =   1311, deg =  6 */   2641,   5675,   8668,  10421,  16155,  16223, 
/* msg =   1312, deg =  6 */   5328,   8872,   9189,  10287,  11678,  19666, 
/* msg =   1313, deg =  6 */   3008,   3627,   4699,  16981,  17209,  19323, 
/* msg =   1314, deg =  6 */   8241,   8984,   9218,  12838,  13926,  16686, 
/* msg =   1315, deg =  6 */   4488,   8254,   8686,  13599,  15112,  19992, 
/* msg =   1316, deg =  6 */   1129,   5908,   8903,  13056,  14967,  18019, 
/* msg =   1317, deg =  6 */   4734,   7450,   9190,  10106,  16004,  19022, 
/* msg =   1318, deg =  6 */   2284,   5721,   6268,  10389,  17539,  18899, 
/* msg =   1319, deg =  6 */   1640,   7308,   8051,  13064,  13318,  18657, 
/* msg =   1320, deg =  6 */   5498,   8303,   8340,  10328,  12522,  19044, 
/* msg =   1321, deg =  6 */   4218,   6761,   6824,  11191,  12400,  17793, 
/* msg =   1322, deg =  6 */   1012,   5593,   5953,  14142,  15329,  18255, 
/* msg =   1323, deg =  6 */   3892,   6656,   7663,  13060,  14245,  19971, 
/* msg =   1324, deg =  6 */   2030,   4554,   7573,  13464,  14889,  18417, 
/* msg =   1325, deg =  6 */   4444,   9020,   9763,  15171,  18145,  18228, 
/* msg =   1326, deg =  6 */   1372,   4150,   5040,  10336,  17058,  17309, 
/* msg =   1327, deg =  6 */    934,   6068,   9782,  13059,  18313,  18403, 
/* msg =   1328, deg =  6 */   3644,   6176,   8371,  13652,  15899,  15971, 
/* msg =   1329, deg =  6 */   1085,   4500,   5042,  11684,  15426,  16489, 
/* msg =   1330, deg =  6 */    130,    883,   2772,  11166,  12591,  15988, 
/* msg =   1331, deg =  6 */   2870,   6070,   9815,  11433,  12124,  17013, 
/* msg =   1332, deg =  6 */   1530,   5769,   6304,  14826,  15428,  16880, 
/* msg =   1333, deg =  6 */    591,   3448,   9807,  10229,  13727,  15722, 
/* msg =   1334, deg =  6 */   1144,   3895,   8337,  12840,  17159,  18480, 
/* msg =   1335, deg =  6 */   1720,   2580,   6789,  12264,  14103,  14389, 
/* msg =   1336, deg =  6 */    415,   4789,   7828,  14106,  15789,  17303, 
/* msg =   1337, deg =  6 */   2265,   4641,   8019,  11677,  12539,  15570, 
/* msg =   1338, deg =  6 */    609,   6985,   8440,  11338,  12285,  18425, 
/* msg =   1339, deg =  6 */    475,   4899,   6651,  10918,  11440,  14730, 
/* msg =   1340, deg =  6 */    548,   2942,   3504,  12279,  12414,  13255, 
/* msg =   1341, deg =  6 */   3124,   5214,   5255,  14869,  16558,  17472, 
/* msg =   1342, deg =  6 */    142,   7354,   8009,  11342,  11794,  19958, 
/* msg =   1343, deg =  6 */   1697,   5118,   6866,  14518,  15786,  17631, 
/* msg =   1344, deg =  6 */   3559,   8014,   9868,  12847,  13406,  19204, 
/* msg =   1345, deg =  6 */   2644,   4654,   5596,  13522,  15198,  18555, 
/* msg =   1346, deg =  6 */    817,   5674,   7758,  15345,  15824,  16744, 
/* msg =   1347, deg =  6 */    836,   6537,   7718,  10631,  14159,  19059, 
/* msg =   1348, deg =  6 */   2349,   6106,   6498,  12879,  14454,  18872, 
/* msg =   1349, deg =  6 */   2087,   3248,   7180,  13857,  15537,  16102, 
/* msg =   1350, deg =  6 */    560,   3805,   4473,  13630,  15215,  18369, 
/* msg =   1351, deg =  6 */   2627,   7257,   9470,  11940,  12484,  19672, 
/* msg =   1352, deg =  6 */    529,    771,   8428,  16900,  18604,  19916, 
/* msg =   1353, deg =  6 */   1667,   2713,   8944,  12062,  14268,  14384, 
/* msg =   1354, deg =  6 */   3628,   9730,   9800,  11698,  11865,  19962, 
/* msg =   1355, deg =  6 */    751,   1974,   7554,  11971,  13592,  18176, 
/* msg =   1356, deg =  6 */    979,   1294,   2590,  11091,  15447,  15761, 
/* msg =   1357, deg =  6 */     45,   5293,   9093,  10119,  15639,  16756, 
/* msg =   1358, deg =  6 */    284,   4427,   7909,  13691,  13872,  16520, 
/* msg =   1359, deg =  6 */   1773,   4071,   8201,  16498,  18032,  19814, 
/* msg =   1360, deg =  6 */   2670,   4026,   5830,  16806,  17038,  19971, 
/* msg =   1361, deg =  6 */    853,   3418,   9598,  12878,  13673,  17957, 
/* msg =   1362, deg =  6 */   1850,   4120,   6976,  11113,  13203,  17140, 
/* msg =   1363, deg =  6 */   2372,   3500,   4661,  13988,  17054,  19391, 
/* msg =   1364, deg =  6 */   1606,   6187,   8120,  11486,  15246,  15434, 
/* msg =   1365, deg =  6 */   1099,   2141,   8347,  14847,  14918,  19086, 
/* msg =   1366, deg =  6 */   3636,   4098,   6288,  11444,  13112,  19574, 
/* msg =   1367, deg =  6 */    338,   5398,   6571,  11792,  17059,  19283, 
/* msg =   1368, deg =  6 */   3022,   5710,   6825,  13350,  13766,  14582, 
/* msg =   1369, deg =  6 */   4957,   5484,   9520,  10491,  12655,  15223, 
/* msg =   1370, deg =  6 */   3883,   4546,   6034,  16838,  17297,  17928, 
/* msg =   1371, deg =  6 */    587,   4368,   5108,  15064,  16787,  19254, 
/* msg =   1372, deg =  6 */    584,   8398,   8779,  13488,  15200,  19118, 
/* msg =   1373, deg =  6 */   7459,   9887,   9917,  14728,  16027,  17208, 
/* msg =   1374, deg =  6 */    801,   7306,   9723,  11566,  15977,  17328, 
/* msg =   1375, deg =  6 */   1155,   3305,   5958,  11554,  15166,  16463, 
/* msg =   1376, deg =  6 */    152,   4024,   7762,  12891,  16511,  18094, 
/* msg =   1377, deg =  6 */   1706,   7029,   8825,  12791,  16022,  16247, 
/* msg =   1378, deg =  6 */   1584,   6351,   8531,  12522,  14822,  19502, 
/* msg =   1379, deg =  6 */   3038,   7354,   9927,  17980,  18874,  19840, 
/* msg =   1380, deg =  6 */   4000,   5175,   6420,  11400,  14897,  17173, 
/* msg =   1381, deg =  6 */   2608,   2677,   7383,  11823,  12050,  15213, 
/* msg =   1382, deg =  6 */   3381,   3566,   8972,  11517,  13590,  13597, 
/* msg =   1383, deg =  6 */   3769,   4658,   8828,  15202,  16412,  16846, 
/* msg =   1384, deg =  6 */   2051,   7045,   7522,  16448,  17012,  17189, 
/* msg =   1385, deg =  6 */   4311,   8070,   9172,  10950,  18819,  19572, 
/* msg =   1386, deg =  6 */   1631,   3543,   5483,  10042,  11221,  14303, 
/* msg =   1387, deg =  6 */   2269,   2677,   8510,  11974,  13219,  18381, 
/* msg =   1388, deg =  6 */   3266,   5857,   9396,  10365,  10770,  19085, 
/* msg =   1389, deg =  6 */   1859,   2473,   4866,  12834,  13846,  18317, 
/* msg =   1390, deg =  6 */    366,   5944,   9550,  10114,  11775,  12322, 
/* msg =   1391, deg =  6 */   1272,   2262,   4677,  15019,  15093,  16000, 
/* msg =   1392, deg =  6 */    385,    635,   6751,  11544,  13682,  19626, 
/* msg =   1393, deg =  6 */    171,   5094,   6613,  13322,  14804,  15097, 
/* msg =   1394, deg =  6 */   6705,   7265,   7992,  12641,  14395,  19802, 
/* msg =   1395, deg =  6 */   1161,   3468,   8948,  10585,  12939,  18626, 
/* msg =   1396, deg =  6 */   1329,   9246,   9539,  11151,  13518,  18911, 
/* msg =   1397, deg =  6 */    120,   1834,   7334,  10861,  12571,  18060, 
/* msg =   1398, deg =  6 */    256,   7612,   9139,  12547,  13343,  19332, 
/* msg =   1399, deg =  6 */   5620,   6035,   9189,  14041,  16500,  17836, 
/* msg =   1400, deg =  6 */   1252,   2877,   5548,  11458,  11974,  13511, 
/* msg =   1401, deg =  6 */   2863,   2875,   8461,  11901,  12990,  17866, 
/* msg =   1402, deg =  6 */   2252,   3405,   5150,  11369,  15679,  16493, 
/* msg =   1403, deg =  6 */    737,   6529,   8363,  15304,  16215,  18222, 
/* msg =   1404, deg =  6 */   4674,   6990,   8493,  13804,  15304,  15490, 
/* msg =   1405, deg =  6 */    595,   5065,   9880,  11263,  11980,  14271, 
/* msg =   1406, deg =  6 */    615,   5886,   8291,  15202,  18273,  19253, 
/* msg =   1407, deg =  6 */   1167,   7827,   8261,  12220,  15308,  15556, 
/* msg =   1408, deg =  6 */    431,   1687,   3724,  13508,  15502,  19951, 
/* msg =   1409, deg =  6 */    406,   1894,   5654,  11031,  11848,  19886, 
/* msg =   1410, deg =  6 */   4449,   6029,   6081,  13165,  14671,  18318, 
/* msg =   1411, deg =  6 */    814,   3783,   8534,  12118,  14581,  16745, 
/* msg =   1412, deg =  6 */   5408,   9237,   9661,  12133,  13990,  18838, 
/* msg =   1413, deg =  6 */   1595,   7790,   9428,  16006,  18879,  18945, 
/* msg =   1414, deg =  6 */   6133,   8596,   8745,  10152,  10483,  15358, 
/* msg =   1415, deg =  6 */    402,   1443,   8313,  12003,  19231,  19599, 
/* msg =   1416, deg =  6 */    860,   1871,   5800,  13167,  14621,  17070, 
/* msg =   1417, deg =  6 */   4428,   4681,   5797,  14233,  15122,  16191, 
/* msg =   1418, deg =  6 */     23,   4614,   7050,  17828,  18501,  19689, 
/* msg =   1419, deg =  6 */   5239,   6101,   9567,  12370,  14703,  19545, 
/* msg =   1420, deg =  6 */   2650,   4623,   6056,  14411,  18406,  19924, 
/* msg =   1421, deg =  6 */   2970,   9235,   9453,  10842,  11855,  13198, 
/* msg =   1422, deg =  6 */   1731,   5044,   7864,  15531,  15920,  18811, 
/* msg =   1423, deg =  6 */   3686,   6628,   9653,  10053,  17554,  18285, 
/* msg =   1424, deg =  6 */    284,   4044,   9159,  11720,  16462,  16882, 
/* msg =   1425, deg =  6 */   1375,   3841,   6653,  17431,  17627,  18125, 
/* msg =   1426, deg =  6 */   2436,   3204,   8888,  15163,  16497,  18933, 
/* msg =   1427, deg =  6 */   3730,   4606,   7570,  10439,  10457,  17907, 
/* msg =   1428, deg =  6 */   4740,   7228,   8141,  16123,  17778,  19854, 
/* msg =   1429, deg =  6 */    258,    532,   8980,  11099,  18004,  18879, 
/* msg =   1430, deg =  6 */   3068,   6185,   7764,  16409,  16662,  16909, 
/* msg =   1431, deg =  6 */    590,   4159,   9179,  10862,  11504,  15944, 
/* msg =   1432, deg =  6 */   1746,   3989,   4664,  12108,  14778,  15349, 
/* msg =   1433, deg =  6 */   3079,   8103,   9789,  11284,  17534,  18369, 
/* msg =   1434, deg =  6 */    249,   1883,   4510,  12248,  14798,  18099, 
/* msg =   1435, deg =  6 */   2560,   4129,   8874,  10780,  12320,  15691, 
/* msg =   1436, deg =  6 */   3111,   8793,   9145,  13502,  16106,  18622, 
/* msg =   1437, deg =  6 */    906,   4461,   8548,  15442,  19122,  19182, 
/* msg =   1438, deg =  6 */   3143,   3604,   5222,  10231,  16171,  17278, 
/* msg =   1439, deg =  6 */     28,   4598,   8929,  11326,  11440,  17238, 
/* msg =   1440, deg =  6 */    149,   4441,   5998,  12033,  15371,  16394, 
/* msg =   1441, deg =  6 */   2098,   2560,   5864,  10894,  11445,  12552, 
/* msg =   1442, deg =  6 */   2014,   5227,   7547,  15777,  18901,  19434, 
/* msg =   1443, deg =  6 */   1007,   1946,   5387,  10278,  18180,  18650, 
/* msg =   1444, deg =  6 */   2666,   3617,   5603,  10407,  11459,  12179, 
/* msg =   1445, deg =  6 */   1498,   1660,   4073,  12665,  15510,  16778, 
/* msg =   1446, deg =  6 */   4048,   8221,   8413,  10600,  13862,  16654, 
/* msg =   1447, deg =  6 */   2110,   2322,   7653,  11791,  13972,  15960, 
/* msg =   1448, deg =  6 */   3873,   4061,   7558,  13816,  17811,  18915, 
/* msg =   1449, deg =  6 */   3325,   6751,   8244,  10510,  11699,  17055, 
/* msg =   1450, deg =  6 */   1085,   7241,   8769,  10725,  12025,  18787, 
/* msg =   1451, deg =  6 */   4215,   5048,   8708,  13493,  14631,  18488, 
/* msg =   1452, deg =  6 */   3630,   4223,   8491,  15042,  16390,  16667, 
/* msg =   1453, deg =  6 */   1068,   6275,   8782,  12195,  15126,  16034, 
/* msg =   1454, deg =  6 */     24,   2489,   2887,  10460,  15311,  16666, 
/* msg =   1455, deg =  6 */    834,   3942,   5420,  10196,  15048,  16885, 
/* msg =   1456, deg =  6 */   3866,   8442,   9843,  11548,  14049,  14450, 
/* msg =   1457, deg =  6 */    666,   1367,   2000,  11331,  14275,  19249, 
/* msg =   1458, deg =  6 */    314,   2017,   5286,  10123,  12824,  15848, 
/* msg =   1459, deg =  6 */   4097,   4857,   5721,  10565,  16727,  17716, 
/* msg =   1460, deg =  6 */   1118,   1199,   2263,  12305,  13943,  13993, 
/* msg =   1461, deg =  6 */   7730,   8589,   9524,  14728,  15080,  15147, 
/* msg =   1462, deg =  6 */   2563,   3792,   9606,  13084,  15504,  18966, 
/* msg =   1463, deg =  6 */   2896,   5916,   8414,  12734,  15143,  15614, 
/* msg =   1464, deg =  6 */   3083,   3354,   9295,  11183,  12450,  18382, 
/* msg =   1465, deg =  6 */   1879,   8040,   8348,  11818,  16456,  18887, 
/* msg =   1466, deg =  6 */   5000,   7294,   8314,  15189,  16664,  17633, 
/* msg =   1467, deg =  6 */   5258,   7552,   7667,  12231,  13481,  16174, 
/* msg =   1468, deg =  6 */     67,   1055,   1809,  14481,  18198,  19138, 
/* msg =   1469, deg =  6 */   5605,   5984,   9700,  12014,  14019,  14056, 
/* msg =   1470, deg =  6 */   1447,   4228,   7890,  11951,  12832,  18730, 
/* msg =   1471, deg =  6 */   1464,   1792,   5083,  10864,  15645,  15928, 
/* msg =   1472, deg =  6 */   6773,   8662,   9796,  14043,  17272,  17561, 
/* msg =   1473, deg =  6 */   1326,   2882,   3949,  11502,  12953,  15608, 
/* msg =   1474, deg =  6 */   7232,   7615,   9771,  12134,  12503,  18863, 
/* msg =   1475, deg =  6 */   3228,   3312,   7874,  11767,  13286,  16580, 
/* msg =   1476, deg =  6 */   3510,   3942,   9663,  11651,  18735,  19002, 
/* msg =   1477, deg =  6 */   1869,   5853,   7075,  12473,  18535,  18562, 
/* msg =   1478, deg =  6 */    316,   1360,   3769,  12610,  18657,  19696, 
/* msg =   1479, deg =  6 */   1507,   1884,   4164,  11764,  18871,  19911, 
/* msg =   1480, deg =  6 */    891,   4185,   5390,  16466,  17190,  17986, 
/* msg =   1481, deg =  6 */    717,   1514,   2773,  11976,  15670,  17973, 
/* msg =   1482, deg =  6 */     16,   7621,   9896,  18304,  18988,  19769, 
/* msg =   1483, deg =  6 */   2448,   3049,   8011,  17177,  17499,  19220, 
/* msg =   1484, deg =  6 */   3228,   8195,   9343,  12378,  12381,  14600, 
/* msg =   1485, deg =  6 */   4037,   6078,   9905,  10728,  16339,  16574, 
/* msg =   1486, deg =  6 */    988,   1275,   6655,  11465,  13311,  18581, 
/* msg =   1487, deg =  6 */   3384,   6021,   6429,  12212,  15612,  18504, 
/* msg =   1488, deg =  6 */   3610,   6857,   9761,  13175,  13700,  16500, 
/* msg =   1489, deg =  6 */   6464,   7000,   8904,  10959,  17989,  18776, 
/* msg =   1490, deg =  6 */   4390,   7603,   8521,  10787,  14559,  19041, 
/* msg =   1491, deg =  6 */   2211,   2345,   2654,  11057,  14093,  15439, 
/* msg =   1492, deg =  6 */    243,   7014,   9268,  13681,  17061,  17194, 
/* msg =   1493, deg =  6 */   2237,   6317,   7161,  14471,  16114,  17445, 
/* msg =   1494, deg =  6 */   3353,   4159,   4247,  12898,  13439,  13855, 
/* msg =   1495, deg =  6 */   1816,   7069,   9593,  13694,  16628,  17051, 
/* msg =   1496, deg =  6 */   4240,   7209,   9837,  13323,  16579,  17214, 
/* msg =   1497, deg =  6 */   6674,   6762,   7125,  13664,  17540,  19143, 
/* msg =   1498, deg =  6 */   1170,   9236,   9544,  10783,  13853,  17785, 
/* msg =   1499, deg =  6 */    345,   2438,   4666,  11169,  12791,  19665, 
/* msg =   1500, deg =  6 */   6886,   8176,   8336,  14063,  16563,  19773, 
/* msg =   1501, deg =  6 */    145,   6518,   7971,  10340,  10857,  13136, 
/* msg =   1502, deg =  6 */   5602,   5876,   7561,  13288,  17285,  18589, 
/* msg =   1503, deg =  6 */   5966,   7123,   7629,  13945,  16730,  17756, 
/* msg =   1504, deg =  6 */   1171,   2108,   9904,  10774,  11679,  19758, 
/* msg =   1505, deg =  6 */   4282,   4764,   6112,  10514,  15255,  15397, 
/* msg =   1506, deg =  6 */   2304,   6539,   7724,  11312,  13312,  19620, 
/* msg =   1507, deg =  6 */    360,   4928,   6212,  11305,  16361,  18203, 
/* msg =   1508, deg =  6 */    906,   2058,   3891,  10514,  11947,  19479, 
/* msg =   1509, deg =  6 */   3817,   6427,   8361,  10740,  11659,  18930, 
/* msg =   1510, deg =  6 */   4136,   4275,   8213,  12172,  13226,  19210, 
/* msg =   1511, deg =  6 */   1418,   3015,   8126,  14083,  14273,  16665, 
/* msg =   1512, deg =  6 */   2433,   8062,   8223,  11833,  14765,  16624, 
/* msg =   1513, deg =  6 */   4334,   4849,   5512,  13581,  16141,  17521, 
/* msg =   1514, deg =  6 */   1199,   3158,   7862,  12329,  17696,  18127, 
/* msg =   1515, deg =  6 */   5486,   5945,   7527,  10479,  15351,  18776, 
/* msg =   1516, deg =  6 */   2821,   3406,   6968,  11935,  18683,  19815, 
/* msg =   1517, deg =  6 */   1895,   4087,   8472,  11533,  11742,  18605, 
/* msg =   1518, deg =  6 */     26,   5592,   9904,  13598,  14363,  17580, 
/* msg =   1519, deg =  6 */   5375,   5522,   8652,  13598,  15360,  19862, 
/* msg =   1520, deg =  6 */   5492,   7736,   9333,  11343,  17464,  19621, 
/* msg =   1521, deg =  6 */   2877,   6186,   9754,  12104,  18613,  19039, 
/* msg =   1522, deg =  6 */    701,   7807,   9666,  14742,  15593,  18735, 
/* msg =   1523, deg =  6 */   1015,   1906,   8153,  10911,  16049,  18502, 
/* msg =   1524, deg =  6 */   5350,   5377,   6693,  10768,  11629,  15532, 
/* msg =   1525, deg =  6 */   5418,   5586,   9996,  10689,  13963,  19692, 
/* msg =   1526, deg =  6 */    858,   3289,   3957,  10841,  12855,  14948, 
/* msg =   1527, deg =  6 */   1063,   4055,   4737,  12016,  15726,  15896, 
/* msg =   1528, deg =  6 */   3493,   4007,   8472,  10893,  13447,  13721, 
/* msg =   1529, deg =  6 */   1684,   4492,   5724,  10650,  18985,  18992, 
/* msg =   1530, deg =  6 */   1161,   3186,   7226,  12193,  18237,  19445, 
/* msg =   1531, deg =  6 */   2826,   3492,   9285,  15833,  18396,  19363, 
/* msg =   1532, deg =  6 */   1364,   6611,   6638,  10616,  18179,  19569, 
/* msg =   1533, deg =  6 */   5679,   7264,   8610,  11198,  14279,  16853, 
/* msg =   1534, deg =  6 */   5842,   6878,   7431,  13388,  16506,  17217, 
/* msg =   1535, deg =  6 */    268,   3196,   3703,  12395,  13430,  14307, 
/* msg =   1536, deg =  6 */   5672,   7575,   7982,  14525,  15484,  16825, 
/* msg =   1537, deg =  6 */    205,   3112,   7153,  11900,  13388,  14490, 
/* msg =   1538, deg =  6 */    742,   2289,   9363,  11402,  13589,  14636, 
/* msg =   1539, deg =  6 */   1054,   1102,   2086,  10484,  17886,  18003, 
/* msg =   1540, deg =  6 */   1260,   3140,   6944,  12199,  15167,  19291, 
/* msg =   1541, deg =  6 */   2593,   6975,   8029,  12930,  13908,  18886, 
/* msg =   1542, deg =  6 */   5480,   6604,   7174,  15571,  16987,  17545, 
/* msg =   1543, deg =  6 */   4235,   6824,   8535,  15739,  17925,  19839, 
/* msg =   1544, deg =  6 */   8423,   8576,   9323,  11163,  11280,  12446, 
/* msg =   1545, deg =  6 */   1042,   1488,   6302,  10272,  12757,  13352, 
/* msg =   1546, deg =  6 */   1435,   1728,   8129,  11392,  13541,  17247, 
/* msg =   1547, deg =  6 */   1321,   7136,   7853,  15795,  19265,  19817, 
/* msg =   1548, deg =  6 */   3717,   7378,   8523,  12820,  15268,  16578, 
/* msg =   1549, deg =  6 */   3281,   4873,   5708,  13506,  16013,  17413, 
/* msg =   1550, deg =  6 */   1700,   3371,   5362,  11834,  17324,  19404, 
/* msg =   1551, deg =  6 */    842,   3785,   7797,  11582,  14095,  18837, 
/* msg =   1552, deg =  6 */     83,   5001,   7266,  18575,  19177,  19915, 
/* msg =   1553, deg =  6 */   7105,   8772,   9829,  12513,  15744,  19548, 
/* msg =   1554, deg =  6 */    236,   2397,   5748,  15259,  16390,  17891, 
/* msg =   1555, deg =  6 */   3933,   4595,   9160,  14205,  15388,  18200, 
/* msg =   1556, deg =  6 */   2598,   3953,   7104,  11383,  13756,  19485, 
/* msg =   1557, deg =  6 */   1794,   4014,   6913,  15456,  17363,  18770, 
/* msg =   1558, deg =  6 */   4934,   7456,   7520,  11323,  13539,  14772, 
/* msg =   1559, deg =  6 */   3888,   5997,   9694,  10115,  12812,  18812, 
/* msg =   1560, deg =  6 */   2963,   6736,   7410,  15004,  17369,  19516, 
/* msg =   1561, deg =  6 */    386,   1184,   6407,  10469,  14185,  17788, 
/* msg =   1562, deg =  6 */    714,   3652,   5591,  10691,  16963,  19597, 
/* msg =   1563, deg =  6 */   1490,   7349,   7860,  10839,  11273,  13419, 
/* msg =   1564, deg =  6 */   5741,   7529,   8384,  13147,  19103,  19491, 
/* msg =   1565, deg =  6 */   2913,   4868,   6043,  14955,  15817,  17367, 
/* msg =   1566, deg =  6 */   5169,   5401,   5567,  11338,  18977,  19703, 
/* msg =   1567, deg =  6 */   2099,   3527,   7790,  10185,  11155,  16320, 
/* msg =   1568, deg =  6 */    358,   4552,   4707,  19468,  19535,  19660, 
/* msg =   1569, deg =  6 */   1501,   6943,   8835,  17082,  19200,  19284, 
/* msg =   1570, deg =  6 */   1341,   4422,   5755,  17429,  17436,  19839, 
/* msg =   1571, deg =  6 */   5453,   7332,   9384,  10303,  13800,  16290, 
/* msg =   1572, deg =  6 */   4336,   6569,   7761,  16333,  17510,  19716, 
/* msg =   1573, deg =  6 */    553,   2536,   5763,  14062,  14679,  15692, 
/* msg =   1574, deg =  6 */   4153,   4673,   8574,  16789,  17605,  18027, 
/* msg =   1575, deg =  6 */   3248,   5879,   9876,  13674,  16351,  19972, 
/* msg =   1576, deg =  6 */    574,   2633,   6837,  11200,  12201,  12356, 
/* msg =   1577, deg =  6 */   1402,   2320,   2508,  10000,  13266,  19294, 
/* msg =   1578, deg =  6 */    969,   1007,   5349,  10684,  11403,  15872, 
/* msg =   1579, deg =  6 */    713,   1697,   1810,  11953,  16353,  18326, 
/* msg =   1580, deg =  6 */   8144,   8376,   9473,  12706,  13108,  18578, 
/* msg =   1581, deg =  6 */   5766,   6587,   7967,  14023,  15173,  18616, 
/* msg =   1582, deg =  6 */    931,   1574,   9874,  10897,  11949,  16805, 
/* msg =   1583, deg =  6 */    925,   5535,   7698,  14779,  17135,  18845, 
/* msg =   1584, deg =  6 */     31,   4980,   8686,  11837,  16457,  19277, 
/* msg =   1585, deg =  6 */    894,   4310,   7185,  11212,  14161,  19939, 
/* msg =   1586, deg =  6 */   1106,   6348,   7404,  13585,  15688,  18358, 
/* msg =   1587, deg =  6 */    570,   5060,   6023,  11698,  15093,  18432, 
/* msg =   1588, deg =  6 */   3853,   8672,   9387,  13646,  16341,  17330, 
/* msg =   1589, deg =  6 */   1286,   1874,   6166,  12937,  12951,  19999, 
/* msg =   1590, deg =  6 */   1183,   4387,   7229,  11891,  14081,  16008, 
/* msg =   1591, deg =  6 */   3847,   4882,   6714,  12107,  16960,  18308, 
/* msg =   1592, deg =  6 */    389,   6556,   7014,  11145,  11530,  13948, 
/* msg =   1593, deg =  6 */   2044,   2840,   2958,  11386,  12495,  14519, 
/* msg =   1594, deg =  6 */    463,   2706,   5381,  13318,  14754,  17929, 
/* msg =   1595, deg =  6 */     33,   1140,   4343,  10885,  12653,  13969, 
/* msg =   1596, deg =  6 */   1115,   2694,   5913,  10987,  14949,  17659, 
/* msg =   1597, deg =  6 */   5412,   6209,   7630,  11375,  13552,  15633, 
/* msg =   1598, deg =  6 */   2511,   3887,   5630,  10042,  14134,  17709, 
/* msg =   1599, deg =  6 */    484,   5132,   5707,  10565,  11727,  15570, 
/* msg =   1600, deg =  6 */   6113,   8585,   9487,  11368,  17223,  17513, 
/* msg =   1601, deg =  6 */   2924,   5861,   7607,  10595,  11526,  16640, 
/* msg =   1602, deg =  6 */     52,   5176,   8392,  12390,  12499,  18746, 
/* msg =   1603, deg =  6 */   2552,   6327,   8868,  11988,  12693,  12922, 
/* msg =   1604, deg =  6 */   7214,   7941,   7991,  11529,  15574,  19912, 
/* msg =   1605, deg =  6 */   3866,   5438,   7074,  12719,  13631,  18557, 
/* msg =   1606, deg =  6 */   1797,   6279,   9203,  10857,  14127,  14902, 
/* msg =   1607, deg =  6 */   2781,   8070,   9717,  10048,  10933,  12386, 
/* msg =   1608, deg =  6 */   2365,   6718,   7182,  12037,  12748,  16258, 
/* msg =   1609, deg =  6 */   2270,   2952,   4952,  14748,  15498,  19422, 
/* msg =   1610, deg =  6 */   2668,   6286,   8344,  12323,  13351,  13978, 
/* msg =   1611, deg =  6 */    357,   1032,   6060,  10936,  18426,  19176, 
/* msg =   1612, deg =  6 */   2889,   4302,   7288,  11373,  12543,  14371, 
/* msg =   1613, deg =  6 */   2279,   6764,   6918,  11171,  14802,  17485, 
/* msg =   1614, deg =  6 */   1593,   8459,   9140,  12538,  18764,  19095, 
/* msg =   1615, deg =  6 */    700,   6156,   6723,  15033,  17051,  18583, 
/* msg =   1616, deg =  6 */   3013,   6221,   6632,  15649,  16171,  19706, 
/* msg =   1617, deg =  6 */    481,   4674,   8767,  11757,  12325,  16068, 
/* msg =   1618, deg =  6 */   4697,   7284,   8003,  11391,  13626,  15891, 
/* msg =   1619, deg =  6 */    501,   3754,   8434,  12375,  15414,  17335, 
/* msg =   1620, deg =  6 */     43,    863,   2243,  10067,  12358,  14540, 
/* msg =   1621, deg =  6 */   6630,   7641,   8268,  16210,  16524,  19646, 
/* msg =   1622, deg =  6 */   1301,   5126,   8692,  14633,  17796,  18549, 
/* msg =   1623, deg =  6 */   4390,   4743,   8744,  10345,  16371,  19565, 
/* msg =   1624, deg =  6 */   3574,   3768,   3987,  14465,  15442,  15532, 
/* msg =   1625, deg =  6 */   3324,   4208,   5248,  10675,  11031,  17868, 
/* msg =   1626, deg =  6 */     35,    206,   8410,  10009,  11385,  19970, 
/* msg =   1627, deg =  6 */    486,   3132,   4910,  13362,  15014,  16261, 
/* msg =   1628, deg =  6 */    818,    846,   8646,  10372,  11836,  17436, 
/* msg =   1629, deg =  6 */   1227,   1506,   9063,  11503,  14341,  15552, 
/* msg =   1630, deg =  6 */   3671,   6197,   7155,  12529,  14686,  16238, 
/* msg =   1631, deg =  6 */   1945,   6957,   9660,  10650,  13487,  14994, 
/* msg =   1632, deg =  6 */   2458,   5341,   8560,  13441,  15618,  19418, 
/* msg =   1633, deg =  6 */   1212,   8382,   8516,  10524,  12577,  15380, 
/* msg =   1634, deg =  6 */   2651,   5332,   7517,  15425,  18442,  19607, 
/* msg =   1635, deg =  6 */   5677,   6873,   8496,  10277,  13723,  17609, 
/* msg =   1636, deg =  6 */    747,   7292,   9478,  11871,  12946,  16192, 
/* msg =   1637, deg =  6 */   1663,   1826,   8387,  17498,  19477,  19743, 
/* msg =   1638, deg =  6 */   1627,   2597,   5260,  13723,  15721,  18331, 
/* msg =   1639, deg =  6 */   1133,   5759,   7362,  10008,  15576,  15805, 
/* msg =   1640, deg =  6 */   6181,   7015,   8822,  10237,  12274,  19609, 
/* msg =   1641, deg =  6 */   4458,   5738,   8642,  14511,  15031,  16576, 
/* msg =   1642, deg =  6 */    812,   2752,   5454,  12077,  12078,  12236, 
/* msg =   1643, deg =  6 */   1951,   2617,   7703,  10576,  18451,  19756, 
/* msg =   1644, deg =  6 */   2646,   5803,   9061,  13350,  17170,  19962, 
/* msg =   1645, deg =  6 */   4691,   5856,   5925,  12082,  13543,  19813, 
/* msg =   1646, deg =  6 */   4640,   5326,   5499,  12662,  16014,  16597, 
/* msg =   1647, deg =  6 */   3142,   6630,   8396,  12543,  12852,  13120, 
/* msg =   1648, deg =  6 */   1805,   5063,   8920,  12232,  12866,  18147, 
/* msg =   1649, deg =  6 */   5783,   5815,   6507,  10390,  16343,  17273, 
/* msg =   1650, deg =  6 */   5851,   8062,   8380,  10030,  10771,  18058, 
/* msg =   1651, deg =  6 */   3203,   6030,   7224,  12823,  13312,  19978, 
/* msg =   1652, deg =  6 */    416,   6516,   8947,  10061,  11399,  19062, 
/* msg =   1653, deg =  6 */   6442,   8188,   9803,  12774,  13961,  14464, 
/* msg =   1654, deg =  6 */    214,   4806,   9671,  11450,  13647,  17934, 
/* msg =   1655, deg =  6 */   1433,   2235,   2913,  13478,  16927,  18998, 
/* msg =   1656, deg =  6 */   5614,   8952,   9446,  13520,  16338,  19955, 
/* msg =   1657, deg =  6 */   3218,   3689,   9674,  17412,  17846,  19328, 
/* msg =   1658, deg =  6 */    999,   2001,   2791,  10803,  13249,  16501, 
/* msg =   1659, deg =  6 */   3449,   6486,   9943,  10696,  13025,  15306, 
/* msg =   1660, deg =  6 */    905,   2301,   4966,  11640,  12170,  16699, 
/* msg =   1661, deg =  6 */   1226,   1319,   5795,  10627,  15930,  16348, 
/* msg =   1662, deg =  6 */    563,   2583,   8963,  11580,  17821,  18633, 
/* msg =   1663, deg =  6 */    880,   2193,   9546,  12409,  12487,  14646, 
/* msg =   1664, deg =  6 */   4057,   6752,   7760,  10134,  17612,  19680, 
/* msg =   1665, deg =  6 */   1165,   4209,   9607,  11175,  17415,  17517, 
/* msg =   1666, deg =  6 */   1531,   2144,   5414,  11881,  12503,  14528, 
/* msg =   1667, deg =  6 */    506,   7266,   9125,  13008,  14501,  15633, 
/* msg =   1668, deg =  6 */    842,   3958,   7485,  12509,  13769,  14987, 
/* msg =   1669, deg =  6 */   2501,   5235,   7426,  12728,  13495,  16718, 
/* msg =   1670, deg =  6 */   4206,   4508,   7531,  18891,  19454,  19861, 
/* msg =   1671, deg =  6 */   1188,   1503,   5590,  11346,  12648,  16324, 
/* msg =   1672, deg =  6 */      0,   8797,   8854,  14450,  18270,  19416, 
/* msg =   1673, deg =  6 */   2156,   2718,   2999,  11912,  16587,  19928, 
/* msg =   1674, deg =  6 */    639,   6281,   8412,  11245,  12456,  18324, 
/* msg =   1675, deg =  6 */    753,   3440,   4961,  12686,  15384,  16864, 
/* msg =   1676, deg =  6 */   1342,   1904,   7811,  12510,  13298,  19381, 
/* msg =   1677, deg =  6 */    569,   6079,   7998,  13043,  15486,  15972, 
/* msg =   1678, deg =  6 */    265,   3192,   7765,  11415,  12848,  15893, 
/* msg =   1679, deg =  6 */   8454,   8763,   9608,  11139,  13641,  17228, 
/* msg =   1680, deg =  6 */   1498,   2812,   3126,  17944,  18639,  18770, 
/* msg =   1681, deg =  6 */   6135,   7532,   8140,  10853,  14891,  15355, 
/* msg =   1682, deg =  6 */   2835,   4195,   6576,  10755,  13384,  13870, 
/* msg =   1683, deg =  6 */   6849,   6858,   7766,  10710,  18287,  19006, 
/* msg =   1684, deg =  6 */   8649,   9314,   9811,  10257,  15757,  19616, 
/* msg =   1685, deg =  6 */    419,   2103,   7327,  17703,  18194,  19605, 
/* msg =   1686, deg =  6 */   4794,   5444,   8452,  11257,  15135,  17161, 
/* msg =   1687, deg =  6 */   3485,   6532,   7625,  13132,  14227,  18438, 
/* msg =   1688, deg =  6 */   1572,   3090,   9320,  14375,  16889,  17004, 
/* msg =   1689, deg =  6 */   3265,   4244,   6556,  10510,  10882,  13325, 
/* msg =   1690, deg =  6 */    457,   3281,   7092,  11737,  17313,  18229, 
/* msg =   1691, deg =  6 */   2671,   5391,   6218,  16300,  17444,  17868, 
/* msg =   1692, deg =  6 */   2154,   3404,   7876,  17030,  17478,  18473, 
/* msg =   1693, deg =  6 */    896,   4563,   5036,  10036,  10060,  18918, 
/* msg =   1694, deg =  6 */   3836,   5446,   5637,  15257,  17638,  19513, 
/* msg =   1695, deg =  6 */   3988,   6868,   7296,  10661,  14678,  17207, 
/* msg =   1696, deg =  6 */   1071,   5927,   9541,  15769,  18346,  18880, 
/* msg =   1697, deg =  6 */   1371,   6055,   8097,  10294,  11301,  11480, 
/* msg =   1698, deg =  6 */   4523,   6208,   7886,  11191,  11820,  14756, 
/* msg =   1699, deg =  6 */   3835,   6369,   7051,  10479,  13103,  18261, 
/* msg =   1700, deg =  6 */    525,   1833,   3771,  12238,  13866,  16795, 
/* msg =   1701, deg =  6 */   2881,   3594,   8843,  12477,  13119,  13739, 
/* msg =   1702, deg =  6 */   2315,   6450,   9926,  14379,  16993,  18651, 
/* msg =   1703, deg =  6 */   1233,   2900,   8112,  10184,  11475,  14632, 
/* msg =   1704, deg =  6 */    909,   1290,   9580,  12008,  16317,  18266, 
/* msg =   1705, deg =  6 */   3760,   7516,   8345,  12993,  15162,  17882, 
/* msg =   1706, deg =  6 */    646,   5756,   9672,  11765,  12918,  19243, 
/* msg =   1707, deg =  6 */   4005,   8689,   9940,  13170,  18401,  18739, 
/* msg =   1708, deg =  6 */   1322,   6142,   7438,  12291,  15747,  16504, 
/* msg =   1709, deg =  6 */    508,   2828,   4957,  10078,  12107,  15991, 
/* msg =   1710, deg =  6 */   4333,   9130,   9303,  11413,  16778,  17810, 
/* msg =   1711, deg =  6 */   1219,   5667,   9917,  11034,  13766,  15595, 
/* msg =   1712, deg =  6 */   3050,   8488,   9739,  12017,  16082,  18232, 
/* msg =   1713, deg =  6 */   2056,   2538,   5504,  13021,  15367,  18728, 
/* msg =   1714, deg =  6 */   4575,   6167,   7047,  10609,  17989,  18241, 
/* msg =   1715, deg =  6 */   1904,   4034,   7924,  10395,  17263,  19358, 
/* msg =   1716, deg =  6 */    718,   1008,   7983,  10804,  15476,  16634, 
/* msg =   1717, deg =  6 */    254,   4189,   9479,  11039,  14944,  17493, 
/* msg =   1718, deg =  6 */   3081,   3269,   6808,  10646,  11523,  14699, 
/* msg =   1719, deg =  6 */    795,   4326,   7102,  12560,  15938,  19393, 
/* msg =   1720, deg =  6 */   2761,   3372,   7954,  11177,  11927,  18312, 
/* msg =   1721, deg =  6 */   2677,   5528,   6043,  12471,  12753,  18926, 
/* msg =   1722, deg =  6 */   1245,   8980,   9437,  13187,  15305,  16959, 
/* msg =   1723, deg =  6 */    517,   7010,   7907,  15369,  15932,  15987, 
/* msg =   1724, deg =  6 */   5894,   7930,   9331,  10816,  18079,  18315, 
/* msg =   1725, deg =  6 */    427,   4082,   6548,  10326,  13145,  17935, 
/* msg =   1726, deg =  6 */    541,   7424,   9728,  16324,  16479,  18867, 
/* msg =   1727, deg =  6 */    883,   3875,   9757,  12196,  13029,  13444, 
/* msg =   1728, deg =  6 */   2874,   4650,   7699,  10873,  11035,  17501, 
/* msg =   1729, deg =  6 */   4179,   7990,   8104,  10983,  14827,  16541, 
/* msg =   1730, deg =  6 */    240,   1320,   5564,  10071,  14189,  17234, 
/* msg =   1731, deg =  6 */   1037,   1873,   4385,  14122,  18948,  19041, 
/* msg =   1732, deg =  6 */   6615,   8118,   8853,  10239,  11608,  14650, 
/* msg =   1733, deg =  6 */   6797,   7255,   8934,  10180,  18025,  18593, 
/* msg =   1734, deg =  6 */    948,   3187,   8172,  12929,  13194,  15571, 
/* msg =   1735, deg =  6 */    289,   4144,   7637,  14986,  16638,  19677, 
/* msg =   1736, deg =  6 */    700,   4642,   5158,  15125,  16395,  18986, 
/* msg =   1737, deg =  6 */   4076,   6130,   8366,  12909,  13610,  17179, 
/* msg =   1738, deg =  6 */   2239,   5997,   7036,  11497,  16134,  16833, 
/* msg =   1739, deg =  6 */     12,   8085,   9348,  13503,  15046,  18347, 
/* msg =   1740, deg =  6 */    132,   2022,   4999,  11023,  13783,  19743, 
/* msg =   1741, deg =  6 */    764,   1887,   2300,  17695,  17955,  19317, 
/* msg =   1742, deg =  6 */   2487,   3412,   8822,  10931,  12612,  16917, 
/* msg =   1743, deg =  6 */   4776,   5845,   9613,  12467,  14763,  17917, 
/* msg =   1744, deg =  6 */   5162,   8381,   9717,  13619,  15499,  18081, 
/* msg =   1745, deg =  6 */   1061,   5027,   8565,  14731,  16436,  17140, 
/* msg =   1746, deg =  6 */    180,   7959,   8684,  10212,  18705,  19793, 
/* msg =   1747, deg =  6 */   3259,   4700,   7178,  14862,  15021,  18476, 
/* msg =   1748, deg =  6 */    411,   5636,   7983,  12155,  14845,  19256, 
/* msg =   1749, deg =  6 */    411,   4470,   8601,  11468,  17344,  18917, 
/* msg =   1750, deg =  6 */   4982,   5212,   5841,  10404,  12852,  16490, 
/* msg =   1751, deg =  6 */    258,   4269,   5906,  17685,  18837,  19349, 
/* msg =   1752, deg =  6 */   2218,   3313,   6635,  12128,  14143,  18772, 
/* msg =   1753, deg =  6 */   2914,   6406,   8734,  10242,  13425,  16775, 
/* msg =   1754, deg =  6 */    945,   3810,   7494,  13514,  13666,  13736, 
/* msg =   1755, deg =  6 */    281,   4416,   4595,  15809,  18019,  18581, 
/* msg =   1756, deg =  6 */   1080,   5757,   9737,  10253,  11606,  14901, 
/* msg =   1757, deg =  6 */   2289,   7292,   7696,  14460,  15151,  17374, 
/* msg =   1758, deg =  6 */    781,   7198,   9059,  10306,  10610,  12520, 
/* msg =   1759, deg =  6 */   1955,   7438,   8739,  10318,  16029,  18055, 
/* msg =   1760, deg =  6 */   6340,   7458,   8001,  14077,  15488,  18932, 
/* msg =   1761, deg =  6 */   2020,   2646,   8117,  13849,  17052,  18431, 
/* msg =   1762, deg =  6 */   2962,   3907,   9091,  17213,  17274,  17970, 
/* msg =   1763, deg =  6 */   2921,   3818,   7895,  13094,  14394,  19174, 
/* msg =   1764, deg =  6 */   4093,   8742,   9652,  13320,  13475,  16164, 
/* msg =   1765, deg =  6 */   3204,   5182,   9927,  11880,  14381,  15188, 
/* msg =   1766, deg =  6 */   2703,   2837,   4864,  11642,  14675,  17044, 
/* msg =   1767, deg =  6 */   4056,   7287,   9304,  10981,  12331,  16658, 
/* msg =   1768, deg =  6 */    361,   6604,   9923,  14021,  17274,  17599, 
/* msg =   1769, deg =  6 */   4996,   8756,   9140,  18039,  18779,  19695, 
/* msg =   1770, deg =  6 */   2984,   3587,   6858,  11582,  15272,  17401, 
/* msg =   1771, deg =  6 */   2396,   3950,   8282,  12902,  14572,  19920, 
/* msg =   1772, deg =  6 */    938,   5715,   8814,  10602,  11200,  13104, 
/* msg =   1773, deg =  6 */    353,   2529,   7142,  14575,  17049,  18373, 
/* msg =   1774, deg =  6 */   2617,   4538,   5917,  16233,  17139,  17409, 
/* msg =   1775, deg =  6 */   1950,   2437,   4263,  14094,  19229,  19826, 
/* msg =   1776, deg =  6 */   6402,   7359,   7752,  10486,  13975,  15996, 
/* msg =   1777, deg =  6 */   5282,   7582,   8562,  12718,  13428,  18286, 
/* msg =   1778, deg =  6 */   1605,   5404,   9322,  11586,  15731,  18741, 
/* msg =   1779, deg =  6 */   3788,   4499,   5784,  14553,  15983,  18101, 
/* msg =   1780, deg =  6 */   6151,   8722,   9888,  15017,  15453,  16168, 
/* msg =   1781, deg =  6 */    987,   1540,   2994,  16691,  17004,  19371, 
/* msg =   1782, deg =  6 */   2074,   6163,   8091,  11389,  14746,  19885, 
/* msg =   1783, deg =  6 */   3207,   5657,   8826,  10067,  12528,  18622, 
/* msg =   1784, deg =  6 */   1411,   4367,   7382,  13594,  14110,  18468, 
/* msg =   1785, deg =  6 */   6482,   7001,   9101,  11973,  13911,  19389, 
/* msg =   1786, deg =  6 */   3408,   3842,   6964,  12404,  16777,  19819, 
/* msg =   1787, deg =  6 */   2364,   2963,   9399,  11757,  17829,  18693, 
/* msg =   1788, deg =  6 */    138,   6210,   9658,  12275,  13311,  15196, 
/* msg =   1789, deg =  6 */   1178,   2418,   6372,  11257,  14206,  19647, 
/* msg =   1790, deg =  6 */   2476,   2932,   3352,  10838,  17840,  18970, 
/* msg =   1791, deg =  6 */   3963,   9058,   9296,  11751,  11768,  13083, 
/* msg =   1792, deg =  6 */   2587,   8105,   9634,  12694,  16635,  19640, 
/* msg =   1793, deg =  6 */   1607,   2493,   7897,  14579,  14720,  17331, 
/* msg =   1794, deg =  6 */    651,   6563,   6758,  11197,  15660,  16928, 
/* msg =   1795, deg =  6 */   5499,   6586,   9693,  10073,  10400,  13717, 
/* msg =   1796, deg =  6 */   1244,   2392,   4858,  12295,  12568,  12643, 
/* msg =   1797, deg =  6 */   1584,   2840,   3701,  10464,  14971,  16090, 
/* msg =   1798, deg =  6 */   3288,   3872,   6153,  10974,  11336,  12954, 
/* msg =   1799, deg =  6 */   3200,   8002,   8168,  15365,  15370,  19010, 
/* msg =   1800, deg =  6 */   2207,   7131,   7369,  10699,  14802,  17857, 
/* msg =   1801, deg =  6 */   3545,   4533,   5693,  10714,  17775,  18237, 
/* msg =   1802, deg =  6 */   2687,   7126,   9899,  12187,  16611,  16772, 
/* msg =   1803, deg =  6 */   1802,   5276,   7487,  15120,  17278,  19366, 
/* msg =   1804, deg =  6 */   4268,   4769,   7114,  10785,  12800,  14297, 
/* msg =   1805, deg =  6 */   2444,   3353,   8777,  14082,  14698,  16185, 
/* msg =   1806, deg =  6 */   1940,   3356,   5767,  11413,  17493,  17561, 
/* msg =   1807, deg =  6 */   3190,   3654,   8784,  10293,  12169,  15705, 
/* msg =   1808, deg =  6 */   4936,   6814,   8054,  10419,  13916,  19213, 
/* msg =   1809, deg =  6 */     99,   6708,   7886,  13214,  15205,  15521, 
/* msg =   1810, deg =  6 */   6568,   6662,   9452,  17663,  19027,  19684, 
/* msg =   1811, deg =  6 */   4061,   4992,   9999,  10029,  10986,  13735, 
/* msg =   1812, deg =  6 */    734,    960,   2987,  10532,  11430,  14456, 
/* msg =   1813, deg =  6 */   2824,   8197,   9120,  11371,  14257,  16655, 
/* msg =   1814, deg =  6 */   3996,   7741,   9271,  10264,  11208,  16861, 
/* msg =   1815, deg =  6 */   5069,   6507,   8482,  12250,  19157,  19891, 
/* msg =   1816, deg =  6 */   3808,   5915,   8888,  11028,  13015,  17325, 
/* msg =   1817, deg =  6 */    676,   3007,   9450,  10139,  17919,  18264, 
/* msg =   1818, deg =  6 */   5154,   6922,   9749,  12049,  15547,  17873, 
/* msg =   1819, deg =  6 */   2352,   3656,   7947,  14090,  14708,  14895, 
/* msg =   1820, deg =  6 */   4485,   5109,   8563,  11014,  18982,  19001, 
/* msg =   1821, deg =  6 */   1643,   3097,   5992,  11653,  11933,  12290, 
/* msg =   1822, deg =  6 */   2826,   3157,   8285,  12200,  14128,  19508, 
/* msg =   1823, deg =  6 */   2114,   3814,   9305,  12811,  14402,  16037, 
/* msg =   1824, deg =  6 */    252,   1943,   3917,  10362,  12713,  15368, 
/* msg =   1825, deg =  6 */   3674,   5089,   8449,  13160,  16525,  19830, 
/* msg =   1826, deg =  6 */   2832,   5474,   7542,  10054,  10459,  14384, 
/* msg =   1827, deg =  6 */    204,   5678,   9383,  11920,  13357,  15692, 
/* msg =   1828, deg =  6 */   1024,   8081,   9269,  12379,  13927,  14114, 
/* msg =   1829, deg =  6 */   2641,   6269,   9562,  11815,  13946,  18424, 
/* msg =   1830, deg =  6 */   2813,   3055,   8456,  10131,  10236,  16371, 
/* msg =   1831, deg =  6 */   6350,   6976,   7053,  13142,  16151,  19082, 
/* msg =   1832, deg =  6 */    382,   5185,   8750,  13575,  13959,  16173, 
/* msg =   1833, deg =  6 */   1250,   4495,   9169,  15734,  17004,  18471, 
/* msg =   1834, deg =  6 */   2092,   2933,   3216,  14089,  16662,  18652, 
/* msg =   1835, deg =  6 */   4829,   5447,   9718,  11024,  16107,  16512, 
/* msg =   1836, deg =  6 */   2003,   6015,   6504,  10943,  11250,  12814, 
/* msg =   1837, deg =  6 */    273,   2618,   6823,  10129,  11447,  14756, 
/* msg =   1838, deg =  6 */    650,   5527,   8751,  10666,  18376,  19883, 
/* msg =   1839, deg =  6 */   3196,   3869,   4261,  13893,  15377,  19407, 
/* msg =   1840, deg =  6 */    301,   2891,   5159,  10057,  11581,  12224, 
/* msg =   1841, deg =  6 */    567,   3224,   5482,  14418,  15866,  19715, 
/* msg =   1842, deg =  6 */   1940,   5373,   8551,  15828,  15956,  19069, 
/* msg =   1843, deg =  6 */   6339,   6835,   6981,  14474,  15453,  16088, 
/* msg =   1844, deg =  6 */   1463,   3941,   9367,  13427,  19154,  19989, 
/* msg =   1845, deg =  6 */     96,   1094,   4316,  13406,  17940,  18171, 
/* msg =   1846, deg =  6 */   3752,   8962,   9555,  12689,  14431,  19029, 
/* msg =   1847, deg =  6 */   4782,   5601,   7865,  10155,  11041,  16061, 
/* msg =   1848, deg =  6 */    169,   1856,   2971,  13306,  13662,  17094, 
/* msg =   1849, deg =  6 */   5469,   7920,   8415,  11701,  15764,  19630, 
/* msg =   1850, deg =  6 */   1897,   5295,   5404,  13211,  15874,  16871, 
/* msg =   1851, deg =  6 */   4438,   6583,   7277,  13175,  13532,  15767, 
/* msg =   1852, deg =  6 */    976,   1655,   2227,  15639,  18976,  19174, 
/* msg =   1853, deg =  6 */    967,   4962,   7164,  11454,  12458,  14228, 
/* msg =   1854, deg =  6 */    394,   1622,   9854,  10554,  12197,  18402, 
/* msg =   1855, deg =  6 */    183,    269,   5029,  12286,  17548,  19214, 
/* msg =   1856, deg =  6 */   6448,   6813,   7475,  12081,  12813,  12873, 
/* msg =   1857, deg =  6 */   1315,   4649,   4988,  10245,  15903,  16613, 
/* msg =   1858, deg =  6 */   4949,   5687,   8302,  16182,  17425,  18659, 
/* msg =   1859, deg =  6 */    878,   3385,   5550,  16565,  17547,  19170, 
/* msg =   1860, deg =  6 */   4450,   5912,   7713,  13657,  14493,  16224, 
/* msg =   1861, deg =  6 */     50,    257,   9303,  10734,  11168,  19124, 
/* msg =   1862, deg =  6 */   5990,   6626,   7786,  13477,  16837,  18667, 
/* msg =   1863, deg =  6 */    179,   2413,   3358,  17119,  18445,  19023, 
/* msg =   1864, deg =  6 */    142,   3529,   7541,  13710,  19378,  19640, 
/* msg =   1865, deg =  6 */   5003,   5864,   8735,  15260,  15685,  16074, 
/* msg =   1866, deg =  6 */   1012,   1893,   2102,  12205,  12261,  14546, 
/* msg =   1867, deg =  6 */   2986,   2998,   3074,  12726,  15257,  18007, 
/* msg =   1868, deg =  6 */   2576,   9439,   9810,  12796,  14481,  16659, 
/* msg =   1869, deg =  6 */    566,   4404,   7708,  11602,  12854,  14203, 
/* msg =   1870, deg =  6 */   1503,   2425,   9164,  11800,  19365,  19576, 
/* msg =   1871, deg =  6 */     22,   3698,   6810,  12948,  13595,  19996, 
/* msg =   1872, deg =  6 */   7121,   8586,   8588,  14003,  16224,  18119, 
/* msg =   1873, deg =  6 */   8202,   8773,   9827,  10089,  12111,  17527, 
/* msg =   1874, deg =  6 */   2141,   2514,   3042,  14315,  17060,  17710, 
/* msg =   1875, deg =  6 */   2615,   5571,   8900,  15427,  17940,  19534, 
/* msg =   1876, deg =  6 */   7382,   9939,   9984,  10915,  11094,  13802, 
/* msg =   1877, deg =  6 */    580,   2755,   8648,  15125,  16781,  19800, 
/* msg =   1878, deg =  6 */   5251,   5718,   7852,  15100,  17337,  18234, 
/* msg =   1879, deg =  6 */    112,   6259,   7498,  10762,  18233,  18832, 
/* msg =   1880, deg =  6 */   4777,   6908,   9564,  13488,  15756,  17382, 
/* msg =   1881, deg =  6 */   1204,   7008,   7088,  10666,  19471,  19555, 
/* msg =   1882, deg =  6 */   8597,   9134,   9234,  13670,  14016,  18858, 
/* msg =   1883, deg =  6 */   4415,   5424,   8531,  13637,  18892,  19002, 
/* msg =   1884, deg =  6 */    486,   4671,   5787,  10509,  18710,  18871, 
/* msg =   1885, deg =  6 */   2779,   3535,   9271,  14251,  18816,  18828, 
/* msg =   1886, deg =  6 */   2277,   4546,   8792,  11611,  15917,  16747, 
/* msg =   1887, deg =  6 */   1089,   6796,   9432,  13242,  17341,  19394, 
/* msg =   1888, deg =  6 */    554,   3634,   5805,  15831,  16596,  16975, 
/* msg =   1889, deg =  6 */    379,   3092,   7124,  13935,  14432,  17531, 
/* msg =   1890, deg =  6 */   2809,   2980,   7160,  15877,  17167,  19192, 
/* msg =   1891, deg =  6 */   6121,   6733,   6997,  10353,  10592,  14273, 
/* msg =   1892, deg =  6 */   1044,   7209,   9598,  10047,  13090,  13877, 
/* msg =   1893, deg =  6 */   1653,   4136,   9663,  11852,  16671,  19444, 
/* msg =   1894, deg =  6 */    957,   3883,   4233,  13819,  17544,  19708, 
/* msg =   1895, deg =  6 */    653,   6239,   9740,  13805,  14167,  16196, 
/* msg =   1896, deg =  6 */    177,    289,    362,  10226,  14980,  18190, 
/* msg =   1897, deg =  6 */   1231,   3978,   8525,  14034,  14076,  16158, 
/* msg =   1898, deg =  6 */     65,    128,   9089,  11311,  15667,  19755, 
/* msg =   1899, deg =  6 */   6778,   6938,   9860,  14492,  15456,  18970, 
/* msg =   1900, deg =  6 */   1507,   1996,   2717,  11607,  17043,  19808, 
/* msg =   1901, deg =  6 */    599,   1560,   3400,  13559,  15211,  19420, 
/* msg =   1902, deg =  6 */   5597,   6445,   7420,  13716,  18814,  19256, 
/* msg =   1903, deg =  6 */   5570,   6385,   7847,  12365,  14029,  17982, 
/* msg =   1904, deg =  6 */   1591,   1801,   5880,  10912,  17648,  19456, 
/* msg =   1905, deg =  6 */    913,   2890,   2990,  11307,  13384,  17432, 
/* msg =   1906, deg =  6 */   1512,   2621,   8689,  10810,  12687,  16355, 
/* msg =   1907, deg =  6 */   3533,   6777,   7374,  10808,  14162,  17003, 
/* msg =   1908, deg =  6 */   1824,   6882,   8224,  11758,  17013,  18607, 
/* msg =   1909, deg =  6 */   1208,   1528,   2506,  12147,  17800,  18820, 
/* msg =   1910, deg =  6 */   2892,   8832,   8944,  16362,  16469,  19574, 
/* msg =   1911, deg =  6 */   3286,   5538,   8194,  12307,  16248,  18703, 
/* msg =   1912, deg =  6 */   4090,   8084,   9149,  11067,  11890,  12480, 
/* msg =   1913, deg =  6 */   2672,   8573,   8776,  13958,  14722,  18658, 
/* msg =   1914, deg =  6 */   1105,   6715,   7591,  13566,  16087,  18888, 
/* msg =   1915, deg =  6 */   5664,   7536,   8370,  13288,  13867,  18552, 
/* msg =   1916, deg =  6 */    991,   4429,   6009,  12763,  14704,  19717, 
/* msg =   1917, deg =  6 */   1590,   5039,   9971,  12137,  15223,  16135, 
/* msg =   1918, deg =  6 */   1191,   5606,   7579,  12504,  16557,  16737, 
/* msg =   1919, deg =  6 */   6177,   8137,   8749,  15853,  17226,  17484, 
/* msg =   1920, deg =  6 */   3031,   5436,   9913,  13163,  16841,  18434, 
/* msg =   1921, deg =  6 */   1130,   4052,   5109,  10656,  13675,  16628, 
/* msg =   1922, deg =  6 */    759,   4133,   6658,  11012,  12933,  14940, 
/* msg =   1923, deg =  6 */    127,   7483,   9572,  10749,  11686,  18259, 
/* msg =   1924, deg =  6 */   1496,   4211,   7935,  11877,  12056,  19271, 
/* msg =   1925, deg =  6 */   2457,   8398,   9154,  19027,  19242,  19348, 
/* msg =   1926, deg =  6 */   2730,   6271,   7291,  10505,  11980,  15666, 
/* msg =   1927, deg =  6 */   1003,   2598,   8753,  11382,  11556,  11557, 
/* msg =   1928, deg =  6 */   4154,   4384,   6317,  11498,  14138,  16446, 
/* msg =   1929, deg =  6 */   2468,   6113,   9004,  11813,  16306,  17097, 
/* msg =   1930, deg =  6 */   2185,   4082,   4862,  15108,  18506,  18822, 
/* msg =   1931, deg =  6 */   5533,   6736,   7132,  10992,  17430,  19255, 
/* msg =   1932, deg =  6 */   2467,   7432,   8780,  10676,  11832,  14741, 
/* msg =   1933, deg =  6 */    829,   2767,   4341,  19147,  19455,  19849, 
/* msg =   1934, deg =  6 */   2962,   4334,   8738,  11068,  19290,  19507, 
/* msg =   1935, deg =  6 */    586,   4391,   8309,  14514,  16009,  19721, 
/* msg =   1936, deg =  6 */    803,   8432,   8571,  10455,  13496,  16752, 
/* msg =   1937, deg =  6 */   3287,   3949,   3994,  13157,  14007,  15917, 
/* msg =   1938, deg =  6 */   5274,   6573,   7180,  11588,  14438,  15335, 
/* msg =   1939, deg =  6 */   2174,   7147,   9710,  16878,  17148,  18430, 
/* msg =   1940, deg =  6 */   7234,   9458,   9950,  10906,  17384,  17590, 
/* msg =   1941, deg =  6 */   5219,   7885,   7924,  10379,  17068,  18933, 
/* msg =   1942, deg =  6 */   2680,   4733,   7675,  14197,  16553,  18915, 
/* msg =   1943, deg =  6 */   1323,   3851,   8245,  14695,  16850,  18610, 
/* msg =   1944, deg =  6 */    433,   6747,   9109,  13091,  14963,  18322, 
/* msg =   1945, deg =  6 */   2244,   6069,   6757,  10121,  16330,  16483, 
/* msg =   1946, deg =  6 */   2924,   4729,   6004,  13410,  15348,  18785, 
/* msg =   1947, deg =  6 */   3350,   5170,   5536,  12940,  14373,  17010, 
/* msg =   1948, deg =  6 */   1362,   3199,   6748,  10641,  15044,  18684, 
/* msg =   1949, deg =  6 */   3257,   3936,   9366,  11863,  14799,  15798, 
/* msg =   1950, deg =  6 */   6935,   8087,   9804,  18074,  19299,  19747, 
/* msg =   1951, deg =  6 */   3471,   4213,   7997,  16886,  16947,  18355, 
/* msg =   1952, deg =  6 */   4870,   5532,   5678,  10139,  12989,  17966, 
/* msg =   1953, deg =  6 */   7513,   8180,   8284,  15531,  15642,  15999, 
/* msg =   1954, deg =  6 */   1337,   2341,   4694,  10074,  15743,  18510, 
/* msg =   1955, deg =  6 */   5022,   7824,   7891,  12942,  13374,  15777, 
/* msg =   1956, deg =  6 */    592,    939,   7305,  11287,  15167,  19795, 
/* msg =   1957, deg =  6 */   3526,   5891,   7484,  10139,  12795,  16869, 
/* msg =   1958, deg =  6 */   3626,   4217,   7175,  12936,  14887,  17003, 
/* msg =   1959, deg =  6 */   2313,   3732,   9033,  13049,  15828,  16971, 
/* msg =   1960, deg =  6 */   3877,   5898,   7199,  13889,  17255,  18542, 
/* msg =   1961, deg =  6 */   2153,   9155,   9793,  10409,  15316,  18095, 
/* msg =   1962, deg =  6 */   1222,   6038,   7419,  15802,  16862,  19810, 
/* msg =   1963, deg =  6 */    167,   4666,   5923,  14642,  18133,  18451, 
/* msg =   1964, deg =  6 */   2579,   4754,   8560,  10954,  15307,  16705, 
/* msg =   1965, deg =  6 */   1352,   3362,   5965,  14680,  16817,  19096, 
/* msg =   1966, deg =  6 */   2187,   4210,   5341,  14278,  16942,  18942, 
/* msg =   1967, deg =  6 */   4148,   4524,   8096,  10907,  12507,  13135, 
/* msg =   1968, deg =  6 */    832,   2083,   2320,  14924,  14927,  16750, 
/* msg =   1969, deg =  6 */   2095,   2460,   5605,  11123,  15011,  19043, 
/* msg =   1970, deg =  6 */   2463,   6776,   6853,  12209,  13631,  17651, 
/* msg =   1971, deg =  6 */   3658,   4238,   5506,  13755,  15036,  19756, 
/* msg =   1972, deg =  6 */    159,   1888,   6348,  14358,  17742,  18327, 
/* msg =   1973, deg =  6 */   1479,   7819,   8851,  12383,  15495,  17403, 
/* msg =   1974, deg =  6 */   7328,   8666,   8690,  13585,  14422,  19863, 
/* msg =   1975, deg =  6 */   1705,   7676,   7715,  11795,  13438,  17809, 
/* msg =   1976, deg =  6 */   1329,   5108,   6346,  11670,  13617,  18503, 
/* msg =   1977, deg =  6 */     10,   7797,   9881,  10051,  15969,  19299, 
/* msg =   1978, deg =  6 */   4837,   5909,   9240,  11733,  11943,  14442, 
/* msg =   1979, deg =  6 */   1907,   4613,   5223,  14446,  15244,  15413, 
/* msg =   1980, deg =  6 */     39,   6286,   7369,  16832,  19517,  19913, 
/* msg =   1981, deg =  6 */    953,   1169,   5376,  14634,  18054,  18952, 
/* msg =   1982, deg =  6 */   3758,   4251,   6349,  11370,  12444,  18138, 
/* msg =   1983, deg =  6 */   1043,   1762,   4224,  15976,  17417,  19874, 
/* msg =   1984, deg =  6 */   2865,   7588,   8608,  10075,  15167,  15750, 
/* msg =   1985, deg =  6 */   7579,   8003,   9391,  16684,  16711,  19012, 
/* msg =   1986, deg =  6 */   3396,   3640,   9191,  10210,  17286,  17941, 
/* msg =   1987, deg =  6 */    407,   6980,   8528,  10728,  11237,  16314, 
/* msg =   1988, deg =  6 */   4754,   8957,   9808,  11048,  17279,  19401, 
/* msg =   1989, deg =  6 */   7124,   9221,   9802,  13946,  15123,  15585, 
/* msg =   1990, deg =  6 */   5875,   6573,   9328,  11288,  12085,  12835, 
/* msg =   1991, deg =  6 */   1767,   5307,   5814,  13368,  16649,  19664, 
/* msg =   1992, deg =  6 */   1308,   3129,   5153,  10671,  14273,  17072, 
/* msg =   1993, deg =  6 */   1480,   3341,   3791,  16207,  17229,  17715, 
/* msg =   1994, deg =  6 */   5556,   8848,   9122,  10504,  10512,  13820, 
/* msg =   1995, deg =  6 */   3432,   5781,   9753,  12654,  12759,  17700, 
/* msg =   1996, deg =  6 */   4560,   5057,   9912,  14781,  15220,  19212, 
/* msg =   1997, deg =  6 */   5544,   6315,   6815,  10277,  14380,  15103, 
/* msg =   1998, deg =  6 */   2327,   2585,   8897,  16670,  19654,  19912, 
/* msg =   1999, deg =  6 */    974,   2948,   7640,  10953,  14692,  17146, 
/* msg =   2000, deg =  6 */   6273,   8628,   9960,  12619,  15211,  18760, 
/* msg =   2001, deg =  6 */    866,   8319,   9472,  10228,  10906,  12898, 
/* msg =   2002, deg =  6 */   5035,   7683,   7843,  12263,  15124,  18500, 
/* msg =   2003, deg =  6 */   6000,   8661,   9217,  12599,  13045,  17359, 
/* msg =   2004, deg =  6 */   3244,   3405,   5772,  14950,  15908,  16246, 
/* msg =   2005, deg =  6 */    374,   1502,   5359,  10664,  13215,  17797, 
/* msg =   2006, deg =  6 */   2363,   3003,   8687,  12136,  12219,  18080, 
/* msg =   2007, deg =  6 */   1930,   2038,   4079,  11273,  17679,  17981, 
/* msg =   2008, deg =  6 */   4627,   7550,   8334,  11003,  12087,  15146, 
/* msg =   2009, deg =  6 */   3304,   3599,   9337,  15626,  18300,  19698, 
/* msg =   2010, deg =  6 */    607,   3057,   6350,  11281,  14515,  15313, 
/* msg =   2011, deg =  6 */   4128,   5742,   6496,  15776,  17544,  17656, 
/* msg =   2012, deg =  6 */   2631,   4120,   6495,  11519,  14846,  17428, 
/* msg =   2013, deg =  6 */   3722,   5397,   9696,  11240,  13216,  16195, 
/* msg =   2014, deg =  6 */    210,    727,   1974,  11545,  11970,  15755, 
/* msg =   2015, deg =  6 */   3917,   7455,   8523,  11801,  12223,  12761, 
/* msg =   2016, deg =  6 */   3371,   4528,   5238,  10726,  13785,  17426, 
/* msg =   2017, deg =  6 */   1913,   2323,   9977,  14342,  18164,  19771, 
/* msg =   2018, deg =  6 */   2204,   2765,   2951,  11251,  14097,  18371, 
/* msg =   2019, deg =  6 */   2441,   3135,   9129,  14295,  17950,  18436, 
/* msg =   2020, deg =  6 */    954,   6513,   6767,  11224,  13316,  16529, 
/* msg =   2021, deg =  6 */   2807,   8067,   8211,  14745,  14884,  18183, 
/* msg =   2022, deg =  6 */    169,   2553,   6471,  12668,  15384,  19268, 
/* msg =   2023, deg =  6 */   2497,   7450,   8505,  15625,  17374,  17755, 
/* msg =   2024, deg =  6 */   8864,   9551,   9626,  13919,  16824,  17109, 
/* msg =   2025, deg =  6 */   2536,   6542,   9583,  11256,  11287,  19985, 
/* msg =   2026, deg =  6 */   6771,   8650,   9039,  10176,  15993,  18276, 
/* msg =   2027, deg =  6 */   2803,   5837,   6728,  12437,  17428,  17619, 
/* msg =   2028, deg =  6 */   4760,   7338,   7380,  10781,  13793,  15968, 
/* msg =   2029, deg =  6 */   1772,   7498,   8389,  11514,  13497,  19612, 
/* msg =   2030, deg =  6 */    925,   3744,   6356,  12053,  18561,  19855, 
/* msg =   2031, deg =  6 */    891,   2980,   9829,  13510,  15577,  15982, 
/* msg =   2032, deg =  6 */    114,   8665,   9477,  13281,  15272,  17943, 
/* msg =   2033, deg =  6 */   1842,   6537,   8099,  10317,  15150,  15256, 
/* msg =   2034, deg =  6 */   2967,   5381,   7301,  11405,  11465,  15768, 
/* msg =   2035, deg =  6 */   2947,   3373,   9568,  13101,  18372,  18874, 
/* msg =   2036, deg =  6 */    821,   6847,   9469,  10385,  16776,  18804, 
/* msg =   2037, deg =  6 */     35,   5963,   7682,  15900,  17180,  17667, 
/* msg =   2038, deg =  6 */   1577,   3481,   5294,  12132,  17343,  17430, 
/* msg =   2039, deg =  6 */   1104,   4526,   5689,  11037,  13516,  14372, 
/* msg =   2040, deg =  6 */    251,   1013,   6778,  10069,  11957,  13378, 
/* msg =   2041, deg =  6 */    818,   5734,   7873,  11638,  12202,  13602, 
/* msg =   2042, deg =  6 */   2064,   2555,   5736,  11278,  11388,  11690, 
/* msg =   2043, deg =  6 */    367,   4698,   5026,  11594,  19439,  19628, 
/* msg =   2044, deg =  6 */    449,   2271,   7839,  12485,  15449,  17345, 
/* msg =   2045, deg =  6 */   4501,   8197,   9905,  10215,  12053,  12567, 
/* msg =   2046, deg =  6 */   5292,   7141,   8102,  13843,  17074,  17606, 
/* msg =   2047, deg =  6 */   1352,   3074,   8373,  10037,  15314,  19954, 
/* msg =   2048, deg =  6 */    272,   5164,   6037,  16435,  16835,  18720, 
/* msg =   2049, deg =  6 */   4718,   5694,   6528,  10183,  15859,  16838, 
/* msg =   2050, deg =  6 */   4971,   8010,   9178,  12685,  13591,  15092, 
/* msg =   2051, deg =  6 */   2889,   6191,   8062,  18015,  18438,  19498, 
/* msg =   2052, deg =  6 */   6994,   9350,   9383,  12369,  15660,  18311, 
/* msg =   2053, deg =  6 */   2713,   2910,   4930,  15511,  16082,  16814, 
/* msg =   2054, deg =  6 */   1416,   2652,   3019,  12579,  18843,  19792, 
/* msg =   2055, deg =  6 */   1802,   2727,   7106,  10317,  10831,  19162, 
/* msg =   2056, deg =  6 */   1690,   2956,   4272,  18613,  19806,  19999, 
/* msg =   2057, deg =  6 */    250,   2774,   4015,  12394,  15056,  18309, 
/* msg =   2058, deg =  6 */   2344,   6712,   9144,  15601,  18839,  19913, 
/* msg =   2059, deg =  6 */    425,    647,   2974,  13279,  15386,  17281, 
/* msg =   2060, deg =  6 */   3918,   7411,   9578,  13296,  19030,  19600, 
/* msg =   2061, deg =  6 */   6016,   7547,   7627,  13516,  13964,  14139, 
/* msg =   2062, deg =  6 */   6469,   7414,   8397,  10084,  13630,  14708, 
/* msg =   2063, deg =  6 */    972,   7656,   9598,  13276,  16703,  19916, 
/* msg =   2064, deg =  6 */   1148,   1405,   7458,  11439,  15556,  18449, 
/* msg =   2065, deg =  6 */    507,   1647,   6995,  10141,  13450,  13592, 
/* msg =   2066, deg =  6 */   4102,   9349,   9727,  15302,  17397,  19876, 
/* msg =   2067, deg =  6 */   1223,   7881,   9470,  15326,  15982,  17932, 
/* msg =   2068, deg =  6 */   3166,   8617,   9194,  10722,  10883,  13822, 
/* msg =   2069, deg =  6 */   3618,   4039,   9373,  11968,  14036,  19317, 
/* msg =   2070, deg =  6 */   2846,   5394,   6705,  17056,  19834,  19934, 
/* msg =   2071, deg =  6 */   4926,   6331,   8684,  15838,  18331,  19159, 
/* msg =   2072, deg =  6 */   2205,   4141,   7679,  10301,  11911,  11970, 
/* msg =   2073, deg =  6 */   7059,   7323,   7958,  10091,  12853,  16089, 
/* msg =   2074, deg =  6 */   2502,   3781,   5268,  11879,  16017,  18360, 
/* msg =   2075, deg =  6 */    171,   4194,   9782,  10884,  11052,  16340, 
/* msg =   2076, deg =  6 */    155,   4879,   5471,  15790,  16554,  18258, 
/* msg =   2077, deg =  6 */     13,   3593,   3865,  11143,  15059,  18783, 
/* msg =   2078, deg =  6 */   3238,   3723,   7943,  11886,  12213,  13777, 
/* msg =   2079, deg =  6 */   4534,   7603,   8432,  12755,  16279,  17127, 
/* msg =   2080, deg =  6 */   1622,   2770,   6326,  15793,  16502,  19976, 
/* msg =   2081, deg =  6 */   1956,   6509,   7120,  12221,  14966,  16326, 
/* msg =   2082, deg =  6 */   2731,   3810,   7123,  11564,  17615,  19388, 
/* msg =   2083, deg =  6 */   4580,   8818,   9886,  10369,  14776,  19650, 
/* msg =   2084, deg =  6 */   1588,   1808,   7739,  11627,  12955,  19644, 
/* msg =   2085, deg =  6 */   2660,   3402,   8844,  12564,  14805,  19571, 
/* msg =   2086, deg =  6 */   2806,   5843,   8168,  14647,  16985,  19626, 
/* msg =   2087, deg =  6 */   4456,   8212,   8638,  11681,  11818,  19214, 
/* msg =   2088, deg =  6 */   1009,   2571,   9239,  10153,  11955,  18223, 
/* msg =   2089, deg =  6 */   3021,   5968,   8933,  18066,  19594,  19851, 
/* msg =   2090, deg =  6 */   4597,   7834,   9847,  11036,  11494,  18902, 
/* msg =   2091, deg =  6 */   1424,   1851,   9698,  14912,  19430,  19847, 
/* msg =   2092, deg =  6 */   3595,   4923,   8967,  10788,  14112,  16049, 
/* msg =   2093, deg =  6 */   3099,   3167,   4144,  16182,  17962,  18010, 
/* msg =   2094, deg =  6 */   2061,   5517,   9776,  13758,  15477,  18219, 
/* msg =   2095, deg =  6 */   5158,   8000,   9193,  11838,  13584,  16757, 
/* msg =   2096, deg =  6 */   2989,   6154,   9944,  15316,  15760,  19205, 
/* msg =   2097, deg =  6 */    490,   5103,   7401,  11729,  15386,  19187, 
/* msg =   2098, deg =  6 */   2039,   2168,   4800,  15842,  17416,  17589, 
/* msg =   2099, deg =  6 */   1100,   1339,   5782,  10004,  11793,  19460, 
/* msg =   2100, deg =  6 */    652,   6860,   8406,  11528,  12649,  13645, 
/* msg =   2101, deg =  6 */   3577,   5869,   9869,  16101,  16925,  18447, 
/* msg =   2102, deg =  6 */   1127,   2245,   6481,  13416,  14651,  16406, 
/* msg =   2103, deg =  6 */   3021,   3239,   5990,  12470,  15981,  17939, 
/* msg =   2104, deg =  6 */   3318,   3549,   8811,  11612,  15197,  17987, 
/* msg =   2105, deg =  6 */   4745,   5193,   7325,  12730,  17025,  17736, 
/* msg =   2106, deg =  6 */   1351,   6631,   6977,  10392,  10976,  15926, 
/* msg =   2107, deg =  6 */   2205,   5299,   9062,  10095,  11409,  18120, 
/* msg =   2108, deg =  6 */   6698,   6978,   8908,  13090,  13837,  14201, 
/* msg =   2109, deg =  6 */   2676,   3367,   9450,  14074,  18861,  19764, 
/* msg =   2110, deg =  6 */   1064,   1194,   6374,  11191,  14107,  15100, 
/* msg =   2111, deg =  6 */   2105,   3393,   5522,  10199,  10264,  15780, 
/* msg =   2112, deg =  6 */   2485,   6558,   8346,  14685,  15101,  15394, 
/* msg =   2113, deg =  6 */   1203,   8741,   8908,  11052,  13307,  18750, 
/* msg =   2114, deg =  6 */   5320,   7946,   9435,  10999,  11606,  16096, 
/* msg =   2115, deg =  6 */   5247,   5826,   6293,  15116,  15156,  15838, 
/* msg =   2116, deg =  6 */   1220,   2091,   5290,  13672,  15537,  16739, 
/* msg =   2117, deg =  6 */   1248,   5689,   9323,  11510,  14598,  16726, 
/* msg =   2118, deg =  6 */   2716,   6090,   8453,  13435,  14612,  19403, 
/* msg =   2119, deg =  6 */   2780,   8879,   9997,  16700,  17054,  17725, 
/* msg =   2120, deg =  6 */   3859,   6122,   8286,  13418,  13656,  18139, 
/* msg =   2121, deg =  6 */   3940,   4192,   5475,  11871,  15729,  16296, 
/* msg =   2122, deg =  6 */   7517,   7607,   9260,  11277,  14109,  15983, 
/* msg =   2123, deg =  6 */   5888,   7827,   8730,  15341,  16812,  19011, 
/* msg =   2124, deg =  6 */   1424,   1896,   9249,  10178,  10670,  15020, 
/* msg =   2125, deg =  6 */   2846,   5453,   9170,  12663,  14507,  19025, 
/* msg =   2126, deg =  6 */     66,   5242,   9604,  11412,  12375,  15951, 
/* msg =   2127, deg =  6 */   1624,   1662,   3078,  11673,  15082,  18923, 
/* msg =   2128, deg =  6 */   2833,   4215,   6806,  12288,  15226,  17305, 
/* msg =   2129, deg =  6 */   2121,   5698,   6986,  12779,  12913,  13486, 
/* msg =   2130, deg =  6 */   1100,   9041,   9593,  10258,  11359,  13747, 
/* msg =   2131, deg =  6 */   2776,   6769,   7283,  12282,  15461,  17456, 
/* msg =   2132, deg =  6 */   3988,   8620,   9258,  11004,  13269,  16109, 
/* msg =   2133, deg =  6 */   4406,   4549,   8414,  10692,  14754,  17597, 
/* msg =   2134, deg =  6 */    737,   2118,   5435,  10647,  14151,  18258, 
/* msg =   2135, deg =  6 */   2655,   5627,   9127,  10543,  13778,  17258, 
/* msg =   2136, deg =  6 */   4047,   5395,   6438,  10975,  12998,  15507, 
/* msg =   2137, deg =  6 */   7422,   8906,   9352,  10055,  11517,  17686, 
/* msg =   2138, deg =  6 */   1982,   2182,   2949,  11687,  12229,  14455, 
/* msg =   2139, deg =  6 */   1224,   5836,   9495,  10349,  16973,  17320, 
/* msg =   2140, deg =  6 */   1018,   3211,   3944,  12430,  14638,  19730, 
/* msg =   2141, deg =  6 */   2828,   4989,   8425,  17073,  18381,  19171, 
/* msg =   2142, deg =  6 */    627,   3429,   5466,  16225,  16916,  18321, 
/* msg =   2143, deg =  6 */   5051,   6500,   6848,  15444,  15912,  19184, 
/* msg =   2144, deg =  6 */   1041,   2624,   5629,  12672,  14425,  18178, 
/* msg =   2145, deg =  6 */   3532,   7885,   9110,  10294,  14405,  15986, 
/* msg =   2146, deg =  6 */   4832,   6586,   9146,  11998,  12964,  18980, 
/* msg =   2147, deg =  6 */     21,   1521,   5440,  18076,  19185,  19217, 
/* msg =   2148, deg =  6 */   1048,   2322,   7082,  13414,  14445,  17761, 
/* msg =   2149, deg =  6 */   1378,   5770,   8993,  10050,  15591,  19884, 
/* msg =   2150, deg =  6 */    673,   1958,   3457,  15491,  16709,  17887, 
/* msg =   2151, deg =  6 */   5221,   7208,   8740,  12489,  13915,  16262, 
/* msg =   2152, deg =  6 */    243,   1723,   2657,  11107,  12534,  13286, 
/* msg =   2153, deg =  6 */    363,   7784,   8605,  13053,  13158,  17737, 
/* msg =   2154, deg =  6 */   4681,   8420,   8918,  11521,  14044,  18926, 
/* msg =   2155, deg =  6 */   2262,   3310,   8652,  11387,  15934,  19505, 
/* msg =   2156, deg =  6 */   1141,   7382,   7998,  14272,  17951,  19028, 
/* msg =   2157, deg =  6 */   3734,   4759,   8426,  10268,  10484,  15362, 
/* msg =   2158, deg =  6 */    336,   4160,   8325,  14590,  16486,  17910, 
/* msg =   2159, deg =  6 */   1075,   5815,   7072,  12229,  15214,  16622, 
/* msg =   2160, deg =  6 */   6148,   7690,   9382,  10477,  10747,  16486, 
/* msg =   2161, deg =  6 */   7490,   8440,   8918,  10007,  16756,  18540, 
/* msg =   2162, deg =  6 */    656,   3680,   4993,  13124,  18285,  18999, 
/* msg =   2163, deg =  6 */   3059,   3357,   4915,  11828,  12755,  16590, 
/* msg =   2164, deg =  6 */    104,   4251,   6195,  11024,  14563,  18489, 
/* msg =   2165, deg =  6 */   1594,   5740,   5888,  12900,  14703,  15257, 
/* msg =   2166, deg =  6 */    525,   1903,   6018,  14839,  15426,  16331, 
/* msg =   2167, deg =  6 */   2009,   6669,   8746,  13537,  16988,  19593, 
/* msg =   2168, deg =  6 */   4621,   5604,   8155,  10603,  14073,  18608, 
/* msg =   2169, deg =  6 */    793,   4437,   6198,  11620,  12361,  15800, 
/* msg =   2170, deg =  6 */   6807,   7718,   9861,  11455,  16465,  16786, 
/* msg =   2171, deg =  6 */   1022,   4639,   6755,  15434,  16603,  19463, 
/* msg =   2172, deg =  6 */    899,   7654,   9792,  11870,  13370,  14799, 
/* msg =   2173, deg =  6 */   2177,   2965,   8663,  10020,  10848,  14398, 
/* msg =   2174, deg =  6 */   4129,   5061,   8656,  11493,  11813,  16665, 
/* msg =   2175, deg =  6 */   1613,   4792,   5040,  13214,  14196,  16425, 
/* msg =   2176, deg =  6 */   2607,   3182,   5631,  10985,  13704,  17158, 
/* msg =   2177, deg =  6 */   1280,   4402,   9057,  10520,  14099,  15876, 
/* msg =   2178, deg =  6 */   4266,   6577,   9822,  10883,  14125,  16542, 
/* msg =   2179, deg =  6 */    495,   2975,   4482,  13257,  16826,  16887, 
/* msg =   2180, deg =  6 */   1353,   5718,   6667,  10644,  18124,  19500, 
/* msg =   2181, deg =  6 */   1308,   1962,   5780,  14000,  14589,  15292, 
/* msg =   2182, deg =  6 */   6154,   7090,   7512,  14549,  16580,  18495, 
/* msg =   2183, deg =  6 */   5777,   8976,   9745,  14670,  16065,  19940, 
/* msg =   2184, deg =  6 */   2667,   6698,   7080,  11892,  17218,  18200, 
/* msg =   2185, deg =  6 */    556,   5483,   8750,  10987,  12121,  13222, 
/* msg =   2186, deg =  6 */   3527,   3555,   4597,  10850,  18061,  18782, 
/* msg =   2187, deg =  6 */   3488,   4099,   7297,  15514,  16758,  17865, 
/* msg =   2188, deg =  6 */   1881,   3041,   3891,  14864,  17560,  17855, 
/* msg =   2189, deg =  6 */   2276,   4567,   8605,  13563,  15768,  19153, 
/* msg =   2190, deg =  6 */   1797,   2992,   7400,  12671,  14213,  17292, 
/* msg =   2191, deg =  6 */   1561,   3091,   5938,  12722,  12879,  16090, 
/* msg =   2192, deg =  6 */   1093,   4262,   4851,  12182,  12418,  17476, 
/* msg =   2193, deg =  6 */   2860,   3222,   6801,  13551,  15854,  19697, 
/* msg =   2194, deg =  6 */   5291,   6581,   7477,  11473,  13076,  14788, 
/* msg =   2195, deg =  6 */   5111,   5936,   8797,  10135,  10493,  16533, 
/* msg =   2196, deg =  6 */   1987,   6968,   9885,  11430,  17769,  19794, 
/* msg =   2197, deg =  6 */   5757,   7894,   9389,  10014,  12342,  18773, 
/* msg =   2198, deg =  6 */    899,   3309,   7941,  12353,  13152,  13406, 
/* msg =   2199, deg =  6 */   1117,   5994,   6696,  10564,  12631,  15500, 
/* msg =   2200, deg =  6 */   1312,   6211,   6569,  12435,  12720,  19126, 
/* msg =   2201, deg =  6 */   4703,   7654,   7887,  10165,  12355,  18481, 
/* msg =   2202, deg =  6 */   5111,   5719,   7036,  12026,  17576,  18717, 
/* msg =   2203, deg =  6 */   3479,   4921,   9866,  11945,  13216,  17365, 
/* msg =   2204, deg =  6 */   1211,   6993,   9076,  13164,  13410,  16291, 
/* msg =   2205, deg =  6 */   1555,   4615,   7150,  10884,  13283,  13970, 
/* msg =   2206, deg =  6 */   1573,   2916,   5743,  17063,  19015,  19125, 
/* msg =   2207, deg =  6 */    110,    827,   9720,  14951,  17693,  18783, 
/* msg =   2208, deg =  6 */   1052,   2410,   8777,  11021,  17395,  17845, 
/* msg =   2209, deg =  6 */    768,   1423,   3736,  10560,  10764,  18314, 
/* msg =   2210, deg =  6 */    815,   3913,   8069,  12362,  13694,  18261, 
/* msg =   2211, deg =  6 */   2876,   8888,   9537,  12303,  15224,  19197, 
/* msg =   2212, deg =  6 */   2199,   2211,   9627,  11429,  18306,  19167, 
/* msg =   2213, deg =  6 */    234,   6985,   9202,  10469,  16963,  17195, 
/* msg =   2214, deg =  6 */    839,   4301,   6095,  13372,  15285,  15744, 
/* msg =   2215, deg =  6 */    910,   2960,   9089,  12047,  16261,  18520, 
/* msg =   2216, deg =  6 */   1878,   2526,   4280,  14730,  15638,  18537, 
/* msg =   2217, deg =  6 */   1092,   2023,   9306,  11445,  11542,  17760, 
/* msg =   2218, deg =  6 */   4119,   5487,   6747,  12502,  15711,  18915, 
/* msg =   2219, deg =  6 */   4534,   9272,   9345,  16977,  17637,  19799, 
/* msg =   2220, deg =  6 */    537,   3777,   6602,  10810,  17056,  18929, 
/* msg =   2221, deg =  6 */   4076,   9331,   9979,  14451,  16791,  18230, 
/* msg =   2222, deg =  6 */    605,    758,   1025,  13225,  14529,  18059, 
/* msg =   2223, deg =  6 */   2132,   5818,   6475,  10289,  13106,  19792, 
/* msg =   2224, deg =  6 */   5928,   7399,   8218,  12635,  16067,  19798, 
/* msg =   2225, deg =  6 */   5558,   7416,   8255,  11847,  13864,  14323, 
/* msg =   2226, deg =  6 */   4839,   5231,   8306,  16285,  16661,  18033, 
/* msg =   2227, deg =  6 */   5023,   6284,   8404,  11547,  15620,  18392, 
/* msg =   2228, deg =  6 */   2370,   5553,   9915,  15559,  18452,  19607, 
/* msg =   2229, deg =  6 */   2655,   6439,   9706,  10145,  17009,  17311, 
/* msg =   2230, deg =  6 */   1356,   2176,   3793,  11532,  15541,  19368, 
/* msg =   2231, deg =  6 */   9068,   9284,   9864,  12122,  13709,  19693, 
/* msg =   2232, deg =  6 */    681,   5806,   6685,  11937,  13275,  14493, 
/* msg =   2233, deg =  6 */   3578,   7779,   9077,  10997,  15186,  16526, 
/* msg =   2234, deg =  6 */   1285,   6246,   9722,  10246,  11385,  18085, 
/* msg =   2235, deg =  6 */   2481,   3661,   5360,  12567,  15477,  17763, 
/* msg =   2236, deg =  6 */    494,   3107,   7707,  14908,  17342,  17534, 
/* msg =   2237, deg =  6 */   4498,   4751,   5551,  11839,  16571,  19289, 
/* msg =   2238, deg =  6 */    683,   8842,   9824,  10976,  13747,  16703, 
/* msg =   2239, deg =  6 */   2850,   4366,   7949,  11359,  13480,  15699, 
/* msg =   2240, deg =  6 */   5547,   8281,   9432,  11480,  14493,  17020, 
/* msg =   2241, deg =  6 */     77,   6785,   9198,  13743,  13829,  18096, 
/* msg =   2242, deg =  6 */   3835,   5508,   7127,  11994,  12547,  13073, 
/* msg =   2243, deg =  6 */    196,    446,   8462,  11761,  15037,  16482, 
/* msg =   2244, deg =  6 */   4751,   9283,   9516,  13410,  18764,  19821, 
/* msg =   2245, deg =  6 */    986,   5925,   7088,  12514,  15489,  18092, 
/* msg =   2246, deg =  6 */    904,   2635,   7446,  13315,  16114,  17853, 
/* msg =   2247, deg =  6 */    721,   2366,   6554,  11413,  12294,  12513, 
/* msg =   2248, deg =  6 */   5108,   8427,   9330,  16965,  17655,  19871, 
/* msg =   2249, deg =  6 */    409,   6540,   8066,  10220,  11581,  15438, 
/* msg =   2250, deg =  6 */   1081,   2337,   2801,  12618,  13698,  14823, 
/* msg =   2251, deg =  6 */   3049,   3830,   6550,  10811,  15840,  18537, 
/* msg =   2252, deg =  6 */   2212,   6742,   6981,  16106,  17332,  18299, 
/* msg =   2253, deg =  6 */    147,   1560,   1576,  11909,  18232,  19193, 
/* msg =   2254, deg =  6 */   1782,   7181,   7361,  10205,  13794,  14457, 
/* msg =   2255, deg =  6 */   7468,   7473,   7571,  11275,  12598,  16621, 
/* msg =   2256, deg =  6 */   3376,   4936,   8512,  12961,  13337,  14382, 
/* msg =   2257, deg =  6 */   2650,   5215,   7086,  11086,  11559,  17923, 
/* msg =   2258, deg =  6 */   4394,   5417,   6616,  14149,  17914,  19910, 
/* msg =   2259, deg =  6 */   2821,   6167,   6897,  13503,  16942,  18517, 
/* msg =   2260, deg =  6 */   3330,   5638,   6495,  12423,  14319,  16510, 
/* msg =   2261, deg =  6 */   1479,   5990,   7302,  15414,  16377,  19505, 
/* msg =   2262, deg =  6 */    613,   3393,   5267,  10016,  13115,  16794, 
/* msg =   2263, deg =  6 */   1837,   5695,   7396,  17210,  18265,  18928, 
/* msg =   2264, deg =  6 */   2335,   7166,   8404,  10311,  11544,  14841, 
/* msg =   2265, deg =  6 */   1444,   4672,   8423,  11397,  14720,  19970, 
/* msg =   2266, deg =  6 */   6215,   7445,   7564,  11109,  11381,  19117, 
/* msg =   2267, deg =  6 */   5277,   6250,   8564,  10212,  12615,  17913, 
/* msg =   2268, deg =  6 */   7565,   8171,   9425,  15122,  15406,  19025, 
/* msg =   2269, deg =  6 */   2050,   7146,   9621,  14589,  16080,  19063, 
/* msg =   2270, deg =  6 */    502,   3257,   8528,  11081,  12664,  16894, 
/* msg =   2271, deg =  6 */    869,   5518,   6761,  11259,  13422,  19548, 
/* msg =   2272, deg =  6 */    342,   2868,   7206,  12908,  13035,  13875, 
/* msg =   2273, deg =  6 */   4434,   6774,   8804,  13545,  14443,  16188, 
/* msg =   2274, deg =  6 */   1686,   5797,   6549,  11628,  14284,  14843, 
/* msg =   2275, deg =  6 */   2836,   4954,   8263,  11479,  11978,  13941, 
/* msg =   2276, deg =  6 */    886,   5624,   6682,  11505,  15581,  19403, 
/* msg =   2277, deg =  6 */   1980,   4178,   5747,  12094,  14084,  17751, 
/* msg =   2278, deg =  6 */    344,   4042,   5684,  16243,  16680,  18831, 
/* msg =   2279, deg =  6 */    705,   3433,   6943,  10845,  12710,  15121, 
/* msg =   2280, deg =  6 */   1758,   4122,   4402,  13032,  13640,  17095, 
/* msg =   2281, deg =  6 */   4267,   8416,   8751,  10395,  15032,  15943, 
/* msg =   2282, deg =  6 */   4772,   5193,   9906,  12779,  14151,  19345, 
/* msg =   2283, deg =  6 */   3196,   6256,   8192,  10025,  15636,  18119, 
/* msg =   2284, deg =  6 */   1465,   3562,   8462,  11268,  14713,  18604, 
/* msg =   2285, deg =  6 */    635,   2318,   5834,  10219,  15411,  19927, 
/* msg =   2286, deg =  6 */   1032,   2411,   9830,  11216,  13002,  14045, 
/* msg =   2287, deg =  6 */   2303,   5457,   6745,  11997,  12021,  14706, 
/* msg =   2288, deg =  6 */   3807,   8714,   8939,  14521,  16247,  16743, 
/* msg =   2289, deg =  6 */    445,    611,   6003,  14188,  15353,  16122, 
/* msg =   2290, deg =  6 */     48,   1264,   1901,  11133,  11407,  11511, 
/* msg =   2291, deg =  6 */    610,   1812,   4375,  10245,  12668,  17902, 
/* msg =   2292, deg =  6 */    532,   6269,   6921,  16020,  17172,  18686, 
/* msg =   2293, deg =  6 */   2247,   3069,   6421,  13483,  13884,  17838, 
/* msg =   2294, deg =  6 */     83,    512,   9756,  15103,  16143,  18063, 
/* msg =   2295, deg =  6 */    769,    844,   5933,  10703,  12045,  19125, 
/* msg =   2296, deg =  6 */    964,   1263,   3884,  10348,  18224,  18556, 
/* msg =   2297, deg =  6 */   4200,   8688,   8815,  13512,  16803,  17784, 
/* msg =   2298, deg =  6 */   3620,   8395,   8550,  13576,  16076,  17371, 
/* msg =   2299, deg =  6 */   2284,   4815,   8992,  11042,  12809,  18244, 
/* msg =   2300, deg =  6 */    266,   4134,   8394,  10093,  15464,  18247, 
/* msg =   2301, deg =  6 */   3151,   6618,   8647,  10997,  11831,  14826, 
/* msg =   2302, deg =  6 */   1233,   1567,   4174,  10179,  13016,  19276, 
/* msg =   2303, deg =  6 */   6253,   7798,   9576,  11005,  15300,  15662, 
/* msg =   2304, deg =  6 */    698,    880,   6026,  11154,  12432,  16380, 
/* msg =   2305, deg =  6 */   6420,   6787,   7231,  11222,  15564,  19862, 
/* msg =   2306, deg =  6 */    128,   6537,   7610,  10979,  15664,  18774, 
/* msg =   2307, deg =  6 */   5810,   6259,   9542,  14513,  14757,  17743, 
/* msg =   2308, deg =  6 */   1846,   7287,   9662,  12923,  15078,  17014, 
/* msg =   2309, deg =  6 */   6934,   7042,   7729,  11037,  16044,  16732, 
/* msg =   2310, deg =  6 */   3119,   4223,   6204,  11481,  12649,  14181, 
/* msg =   2311, deg =  6 */   2417,   6951,   9073,  10810,  11962,  15408, 
/* msg =   2312, deg =  6 */   3255,   3695,   9022,  11062,  11810,  13042, 
/* msg =   2313, deg =  6 */   1367,   1674,   8297,  11971,  18594,  19344, 
/* msg =   2314, deg =  6 */   3949,   6727,   8410,  11302,  16301,  18106, 
/* msg =   2315, deg =  6 */   3711,   4087,   8863,  11232,  11745,  16656, 
/* msg =   2316, deg =  6 */    643,   2173,   8794,  12563,  14551,  14911, 
/* msg =   2317, deg =  6 */     91,   5336,   6151,  10039,  12752,  18250, 
/* msg =   2318, deg =  6 */    841,   3411,   8723,  14888,  16259,  16356, 
/* msg =   2319, deg =  6 */   5141,   5310,   5386,  13983,  14744,  16870, 
/* msg =   2320, deg =  6 */    366,   2290,   3469,  10027,  11667,  13661, 
/* msg =   2321, deg =  6 */   3154,   5240,   7870,  14127,  14284,  19707, 
/* msg =   2322, deg =  6 */   2535,   4657,   8146,  10267,  13269,  15656, 
/* msg =   2323, deg =  6 */   3202,   7474,   7915,  11629,  17113,  18855, 
/* msg =   2324, deg =  6 */    712,   2739,   9953,  13932,  17029,  17416, 
/* msg =   2325, deg =  6 */   4548,   8543,   8773,  10312,  15842,  16292, 
/* msg =   2326, deg =  6 */   1718,   4588,   7943,  12820,  13351,  13423, 
/* msg =   2327, deg =  6 */    766,   4115,   5019,  14024,  14624,  16284, 
/* msg =   2328, deg =  6 */    459,   5427,   6176,  11322,  12292,  17908, 
/* msg =   2329, deg =  6 */   1212,   2575,   5524,  12670,  14871,  16714, 
/* msg =   2330, deg =  6 */   3873,   4913,   7372,  10356,  12220,  14521, 
/* msg =   2331, deg =  6 */    463,   3105,   3589,  10439,  15509,  15712, 
/* msg =   2332, deg =  6 */   2065,   2325,   7740,  11696,  15865,  16287, 
/* msg =   2333, deg =  6 */    491,   2426,   4066,  13148,  15776,  16297, 
/* msg =   2334, deg =  6 */   5761,   6183,   7018,  12882,  16481,  16918, 
/* msg =   2335, deg =  6 */   1309,   2059,   9965,  16627,  18289,  19474, 
/* msg =   2336, deg =  6 */    898,   2630,   4985,  11182,  12079,  13002, 
/* msg =   2337, deg =  6 */    680,   1177,   4465,  12204,  18483,  19230, 
/* msg =   2338, deg =  6 */   2622,   4495,   5089,  13325,  16417,  17100, 
/* msg =   2339, deg =  6 */    174,   2400,   6803,  15439,  15462,  16910, 
/* msg =   2340, deg =  6 */    157,    267,   4617,  12218,  13828,  16232, 
/* msg =   2341, deg =  6 */   4295,   7830,   8957,  16689,  17850,  18204, 
/* msg =   2342, deg =  6 */   2330,   8549,   8796,  13854,  14615,  18624, 
/* msg =   2343, deg =  6 */   4659,   6836,   8047,  12331,  15466,  17383, 
/* msg =   2344, deg =  6 */    321,    748,   3202,  10281,  14942,  16624, 
/* msg =   2345, deg =  6 */   7003,   7873,   9703,  14599,  15340,  18946, 
/* msg =   2346, deg =  6 */   1006,   1280,   6434,  14129,  15847,  19047, 
/* msg =   2347, deg =  6 */    187,   3331,   8443,  10060,  11534,  19777, 
/* msg =   2348, deg =  6 */   5998,   9037,   9500,  14516,  16599,  19089, 
/* msg =   2349, deg =  6 */   1741,   3183,   5004,  13105,  15758,  17824, 
/* msg =   2350, deg =  6 */    855,   3592,   8505,  10629,  13078,  19737, 
/* msg =   2351, deg =  6 */   3274,   4313,   4706,  10561,  14784,  19249, 
/* msg =   2352, deg =  6 */   4730,   5728,   7135,  12089,  15563,  19646, 
/* msg =   2353, deg =  6 */   3647,   5142,   9618,  12426,  16879,  19146, 
/* msg =   2354, deg =  6 */   1692,   4180,   8474,  14833,  17166,  17448, 
/* msg =   2355, deg =  6 */   2744,   7944,   8554,  10143,  10892,  15335, 
/* msg =   2356, deg =  6 */   5588,   5963,   9210,  11476,  14854,  15579, 
/* msg =   2357, deg =  6 */   7775,   8959,   9771,  10125,  14662,  16305, 
/* msg =   2358, deg =  6 */   3452,   4095,   6361,  18882,  19400,  19977, 
/* msg =   2359, deg =  6 */    526,    580,    819,  10071,  15968,  19288, 
/* msg =   2360, deg =  6 */    322,   5651,   6491,  15579,  16306,  18572, 
/* msg =   2361, deg =  6 */    884,   7500,   8107,  15905,  16360,  18935, 
/* msg =   2362, deg =  6 */   4779,   4901,   7162,  15262,  17909,  18979, 
/* msg =   2363, deg =  6 */   6847,   8890,   9808,  13111,  13772,  15995, 
/* msg =   2364, deg =  6 */   2711,   5671,   8228,  12502,  17411,  18844, 
/* msg =   2365, deg =  6 */    950,   1612,   2228,  12556,  16107,  18772, 
/* msg =   2366, deg =  6 */   3018,   4726,   5984,  13938,  14282,  17796, 
/* msg =   2367, deg =  6 */    680,   6108,   8340,  14053,  17834,  18553, 
/* msg =   2368, deg =  6 */   4624,   5069,   6711,  10142,  10640,  17850, 
/* msg =   2369, deg =  6 */   4908,   7017,   7312,  14685,  14905,  17617, 
/* msg =   2370, deg =  6 */   6170,   6513,   7298,  10066,  12880,  15736, 
/* msg =   2371, deg =  6 */    429,   1026,   8595,  17144,  18284,  19881, 
/* msg =   2372, deg =  6 */   3141,   3171,   7327,  14789,  16099,  17174, 
/* msg =   2373, deg =  6 */   2135,   3483,   5486,  13564,  14909,  17754, 
/* msg =   2374, deg =  6 */    846,   2390,   9169,  15461,  16691,  17418, 
/* msg =   2375, deg =  6 */   1158,   5167,   7609,  10842,  10917,  15721, 
/* msg =   2376, deg =  6 */   3173,   6675,   9915,  11243,  14532,  15630, 
/* msg =   2377, deg =  6 */   2710,   5437,   7025,  14237,  15506,  18854, 
/* msg =   2378, deg =  6 */   1429,   1961,   5818,  11616,  12083,  16408, 
/* msg =   2379, deg =  6 */   1442,   4172,   8229,  11975,  16898,  18210, 
/* msg =   2380, deg =  6 */   2937,   3761,   8315,  12180,  18565,  19431, 
/* msg =   2381, deg =  6 */   3996,   6676,   7269,  11681,  16278,  16936, 
/* msg =   2382, deg =  6 */   1335,   2148,   8931,  10102,  16821,  17028, 
/* msg =   2383, deg =  6 */    589,   5813,   8789,  10839,  11542,  12602, 
/* msg =   2384, deg =  6 */   2197,   7821,   8071,  11773,  14891,  16069, 
/* msg =   2385, deg =  6 */   2311,   4853,   9484,  11317,  17258,  17956, 
/* msg =   2386, deg =  6 */    475,   2759,   3728,  10397,  16125,  18754, 
/* msg =   2387, deg =  6 */   5208,   5278,   9274,  11516,  17682,  19736, 
/* msg =   2388, deg =  6 */   1145,   2844,   7987,  13987,  14802,  18015, 
/* msg =   2389, deg =  6 */    396,   4833,   9846,  13786,  14320,  17076, 
/* msg =   2390, deg =  6 */   3067,   4680,   8735,  12189,  16240,  19452, 
/* msg =   2391, deg =  6 */   3685,   6328,   8954,  13642,  13975,  16382, 
/* msg =   2392, deg =  6 */   3795,   7534,   8181,  12505,  13139,  15980, 
/* msg =   2393, deg =  6 */   4002,   5901,   7350,  10680,  10983,  11138, 
/* msg =   2394, deg =  6 */   3156,   3306,   8783,  15584,  16472,  18022, 
/* msg =   2395, deg =  6 */   3384,   4859,   5675,  10697,  12608,  18682, 
/* msg =   2396, deg =  6 */    196,   6213,   9131,  10359,  11208,  15717, 
/* msg =   2397, deg =  6 */    815,   4518,   9948,  10459,  11106,  11241, 
/* msg =   2398, deg =  6 */   2093,   6508,   7577,  11906,  12338,  19637, 
/* msg =   2399, deg =  6 */   6517,   7847,   9909,  10817,  11241,  12073, 
/* msg =   2400, deg =  6 */    784,   6858,   7532,  11057,  18009,  19367, 
/* msg =   2401, deg =  6 */   5310,   5870,   8701,  12255,  15520,  19987, 
/* msg =   2402, deg =  6 */   3852,   3953,   9116,  12498,  13858,  16878, 
/* msg =   2403, deg =  6 */   4552,   6172,   9424,  14235,  17239,  19608, 
/* msg =   2404, deg =  6 */    171,    553,   4496,  11756,  15982,  18288, 
/* msg =   2405, deg =  6 */   1564,   3672,   9049,  15612,  15617,  16521, 
/* msg =   2406, deg =  6 */   2673,   8403,   8971,  13387,  14250,  19669, 
/* msg =   2407, deg =  6 */   1821,   3550,   9630,  11103,  15520,  16459, 
/* msg =   2408, deg =  6 */    365,   6340,   9535,  11205,  19279,  19447, 
/* msg =   2409, deg =  6 */   1840,   5234,   9929,  10932,  12251,  12958, 
/* msg =   2410, deg =  6 */   5126,   8265,   8720,  10179,  14089,  19415, 
/* msg =   2411, deg =  6 */    464,   5267,   5640,  12593,  18467,  19899, 
/* msg =   2412, deg =  6 */   1023,   1219,   2022,  14583,  16202,  19219, 
/* msg =   2413, deg =  6 */    377,   1110,   8813,  13477,  17931,  18202, 
/* msg =   2414, deg =  6 */   4710,   5883,   6876,  10769,  11987,  12946, 
/* msg =   2415, deg =  6 */   2017,   3186,   9678,  10357,  13488,  17514, 
/* msg =   2416, deg =  6 */   1259,   3336,   5175,  10486,  11368,  18717, 
/* msg =   2417, deg =  6 */   4448,   8319,   9813,  10199,  16307,  17314, 
/* msg =   2418, deg =  6 */   2031,   8234,   9339,  11637,  11806,  19356, 
/* msg =   2419, deg =  6 */     29,   1122,   4941,  12468,  14653,  17587, 
/* msg =   2420, deg =  6 */    703,   1600,   4094,  10528,  10792,  13213, 
/* msg =   2421, deg =  6 */   3343,   3796,   4787,  11132,  14591,  17542, 
/* msg =   2422, deg =  6 */   2055,   3852,   9781,  10434,  17690,  18318, 
/* msg =   2423, deg =  6 */   2503,   2855,   6882,  12452,  13010,  13624, 
/* msg =   2424, deg =  6 */   4565,   7495,   8431,  11444,  15231,  19838, 
/* msg =   2425, deg =  6 */   2180,   3863,   6027,  13458,  18247,  18647, 
/* msg =   2426, deg =  6 */   3313,   7061,   8170,  12566,  14594,  15163, 
/* msg =   2427, deg =  6 */   1792,   7876,   8025,  10238,  10708,  11420, 
/* msg =   2428, deg =  6 */   2565,   6739,   9681,  11565,  11623,  17883, 
/* msg =   2429, deg =  6 */    117,   3124,   9834,  11038,  12880,  17367, 
/* msg =   2430, deg =  6 */    723,   4932,   8742,  11397,  14283,  16922, 
/* msg =   2431, deg =  6 */    669,   4794,   8498,  12967,  18279,  19893, 
/* msg =   2432, deg =  6 */   2321,   3436,   8678,  11011,  16784,  18769, 
/* msg =   2433, deg =  6 */    728,   5976,   6193,  13377,  15258,  15706, 
/* msg =   2434, deg =  6 */   2257,   4572,   8568,  12765,  13445,  19326, 
/* msg =   2435, deg =  6 */   3393,   6936,   8632,  12581,  17192,  19156, 
/* msg =   2436, deg =  6 */     66,   7116,   7974,  11399,  11870,  13982, 
/* msg =   2437, deg =  6 */   4950,   6441,   9252,  14617,  18186,  18512, 
/* msg =   2438, deg =  6 */    595,   4470,   5344,  12548,  14009,  14916, 
/* msg =   2439, deg =  6 */    333,   8896,   8955,  11568,  14839,  16790, 
/* msg =   2440, deg =  6 */   1142,   6881,   6971,  11013,  16836,  17560, 
/* msg =   2441, deg =  6 */   1609,   6667,   9155,  10187,  12909,  19132, 
/* msg =   2442, deg =  6 */    835,   4731,   9769,  10658,  11524,  15610, 
/* msg =   2443, deg =  6 */   4781,   6357,   8574,  13921,  14463,  19993, 
/* msg =   2444, deg =  6 */   2896,   3013,   8481,  11152,  15318,  19331, 
/* msg =   2445, deg =  6 */   1925,   3511,   6917,  10280,  11989,  15135, 
/* msg =   2446, deg =  6 */    683,   8292,   8342,  14699,  19060,  19478, 
/* msg =   2447, deg =  6 */   1314,   4583,   6681,  10563,  10935,  19036, 
/* msg =   2448, deg =  6 */    120,   6798,   6836,  10980,  14105,  19604, 
/* msg =   2449, deg =  6 */   4147,   7505,   9313,  11809,  13189,  14965, 
/* msg =   2450, deg =  6 */   2561,   4026,   7059,  14392,  16732,  18095, 
/* msg =   2451, deg =  6 */     88,   1704,   8370,  12266,  12528,  17873, 
/* msg =   2452, deg =  6 */    745,   3676,   5808,  10063,  14365,  15158, 
/* msg =   2453, deg =  6 */   5113,   8203,   8943,  10080,  13603,  15476, 
/* msg =   2454, deg =  6 */   1110,   1452,   5762,  10435,  10548,  16621, 
/* msg =   2455, deg =  6 */   1899,   5778,   9352,  12605,  14364,  17568, 
/* msg =   2456, deg =  6 */   2156,   3607,   5433,  13523,  14211,  17793, 
/* msg =   2457, deg =  6 */   6335,   8451,   9055,  12526,  14207,  19906, 
/* msg =   2458, deg =  6 */   1400,   1827,   1990,  12482,  13651,  14458, 
/* msg =   2459, deg =  6 */   1084,   2915,   7326,  16152,  16939,  18406, 
/* msg =   2460, deg =  6 */   7221,   8662,   9601,  16678,  17394,  19260, 
/* msg =   2461, deg =  6 */   5575,   6738,   7898,  13336,  13655,  14934, 
/* msg =   2462, deg =  6 */   1973,   5753,   9298,  12098,  14083,  16886, 
/* msg =   2463, deg =  6 */    608,   7751,   9680,  12417,  15377,  17271, 
/* msg =   2464, deg =  6 */   5888,   6345,   7964,  13688,  16623,  16912, 
/* msg =   2465, deg =  6 */   1840,   3420,   9235,  12256,  13722,  17602, 
/* msg =   2466, deg =  6 */   1496,   4864,   5415,  11261,  13070,  19624, 
/* msg =   2467, deg =  6 */   2613,   5885,   7601,  14287,  16564,  19722, 
/* msg =   2468, deg =  6 */   1493,   3120,   9174,  12257,  15436,  18498, 
/* msg =   2469, deg =  6 */   2737,   3649,   3833,  13425,  15953,  18842, 
/* msg =   2470, deg =  6 */    601,   3308,   8083,  14168,  15723,  16432, 
/* msg =   2471, deg =  6 */   1033,   1380,   7610,  11478,  12046,  13588, 
/* msg =   2472, deg =  6 */   1186,   5717,   7205,  10447,  13029,  15561, 
/* msg =   2473, deg =  6 */   3947,   4315,   5369,  10683,  13427,  15548, 
/* msg =   2474, deg =  6 */   4036,   8381,   9507,  12116,  14417,  16996, 
/* msg =   2475, deg =  6 */   3657,   6944,   7812,  12223,  15393,  19894, 
/* msg =   2476, deg =  6 */   3655,   8869,   9970,  10791,  12298,  19438, 
/* msg =   2477, deg =  6 */   4228,   4319,   8806,  16626,  16826,  18467, 
/* msg =   2478, deg =  6 */    804,   3399,   5956,  11764,  12614,  12785, 
/* msg =   2479, deg =  6 */    644,   7099,   8558,  14976,  18462,  19737, 
/* msg =   2480, deg =  6 */   7394,   7457,   8239,  10996,  12158,  12707, 
/* msg =   2481, deg =  6 */   6149,   6335,   6603,  13780,  18593,  19483, 
/* msg =   2482, deg =  6 */   4079,   5050,   6104,  14224,  17523,  18997, 
/* msg =   2483, deg =  6 */   1170,   3722,   8837,  10261,  13776,  15713, 
/* msg =   2484, deg =  6 */   1934,   3396,   5303,  12396,  14718,  15728, 
/* msg =   2485, deg =  6 */   5359,   6195,   8195,  12586,  12750,  16451, 
/* msg =   2486, deg =  6 */    852,   3930,   7676,  12686,  12878,  14637, 
/* msg =   2487, deg =  6 */    399,   3862,   9692,  14673,  15348,  16765, 
/* msg =   2488, deg =  6 */    151,   1747,   9338,  13143,  18365,  18485, 
/* msg =   2489, deg =  6 */   2356,   7913,   9774,  11634,  12039,  18416, 
/* msg =   2490, deg =  6 */    946,   7107,   9765,  10027,  10251,  18195, 
/* msg =   2491, deg =  6 */   1175,   5507,   7291,  13247,  13250,  18668, 
/* msg =   2492, deg =  6 */    222,   3595,   9301,  13498,  16271,  16926, 
/* msg =   2493, deg =  6 */    225,   1821,   4206,  11093,  17585,  19237, 
/* msg =   2494, deg =  6 */   2946,   6045,   9420,  13937,  15020,  16213, 
/* msg =   2495, deg =  6 */    904,   4883,   8799,  15834,  18530,  19358, 
/* msg =   2496, deg =  6 */   1509,   3124,   4339,  13158,  13368,  17619, 
/* msg =   2497, deg =  6 */    221,   5169,   6738,  14279,  14701,  19583, 
/* msg =   2498, deg =  6 */   7086,   7688,   8692,  12242,  15807,  17629, 
/* msg =   2499, deg =  6 */   3173,   3348,   9358,  13763,  18656,  18907, 
/* msg =   2500, deg =  6 */   2981,   6148,   7192,  11660,  11670,  17535, 
/* msg =   2501, deg =  6 */   1736,   4542,   7860,  10629,  11940,  15052, 
/* msg =   2502, deg =  6 */    364,   1728,   4938,  10515,  12756,  15343, 
/* msg =   2503, deg =  6 */   3498,   4617,   4732,  12873,  17998,  18689, 
/* msg =   2504, deg =  6 */   2228,   6431,   6654,  11964,  18650,  19038, 
/* msg =   2505, deg =  6 */   3033,   3152,   4797,  13685,  14882,  17163, 
/* msg =   2506, deg =  6 */   1260,   5523,   7023,  10501,  13608,  14012, 
/* msg =   2507, deg =  6 */   3409,   3472,   4106,  10291,  12544,  13842, 
/* msg =   2508, deg =  6 */   1380,   5490,   8885,  10398,  15185,  17032, 
/* msg =   2509, deg =  6 */    687,   7756,   9343,  12039,  12080,  14634, 
/* msg =   2510, deg =  6 */   1658,   8300,   9515,  13678,  16007,  19926, 
/* msg =   2511, deg =  6 */   4613,   6469,   7500,  10620,  10720,  12702, 
/* msg =   2512, deg =  6 */   1200,   1203,   8549,  10591,  11292,  18857, 
/* msg =   2513, deg =  6 */   3223,   3701,   8534,  11736,  11759,  12615, 
/* msg =   2514, deg =  6 */   1065,   7817,   9035,  14302,  14721,  16930, 
/* msg =   2515, deg =  6 */     49,   3058,   8956,  12839,  14623,  18713, 
/* msg =   2516, deg =  6 */    163,   3593,   9900,  13810,  14294,  16216, 
/* msg =   2517, deg =  6 */   5088,   5530,   5703,  10002,  12672,  15918, 
/* msg =   2518, deg =  6 */    173,   4335,   4705,  13108,  15070,  16079, 
/* msg =   2519, deg =  6 */   3656,   5291,   8225,  10382,  11141,  17552, 
/* msg =   2520, deg =  6 */   2588,   6186,   8122,  17782,  17964,  19110, 
/* msg =   2521, deg =  6 */   7599,   9202,   9341,  14341,  15248,  15448, 
/* msg =   2522, deg =  6 */    367,   5428,   7423,  10572,  14338,  18894, 
/* msg =   2523, deg =  6 */   2229,   6672,   9660,  14532,  17079,  17981, 
/* msg =   2524, deg =  6 */   1466,   6323,   6593,  15365,  17379,  17688, 
/* msg =   2525, deg =  6 */    317,    684,   9947,  15894,  19483,  19941, 
/* msg =   2526, deg =  6 */   2193,   6031,   9540,  14375,  17040,  17795, 
/* msg =   2527, deg =  6 */   2538,   4466,   6304,  11100,  13452,  19871, 
/* msg =   2528, deg =  6 */   1764,   2796,   4145,  10875,  10928,  12311, 
/* msg =   2529, deg =  6 */   1666,   6015,   7183,  12832,  13793,  16101, 
/* msg =   2530, deg =  6 */   2489,   8117,   9377,  10372,  10581,  16612, 
/* msg =   2531, deg =  6 */   5267,   7540,   8486,  17655,  19464,  19890, 
/* msg =   2532, deg =  6 */   2323,   2473,   4776,  14210,  14696,  17111, 
/* msg =   2533, deg =  6 */   3971,   5632,   6570,  11983,  13921,  17298, 
/* msg =   2534, deg =  6 */   2156,   7134,   9341,  12819,  12926,  15129, 
/* msg =   2535, deg =  6 */   6810,   6833,   9267,  14822,  16256,  16710, 
/* msg =   2536, deg =  6 */   2528,   2586,   9853,  12015,  14937,  14960, 
/* msg =   2537, deg =  6 */    377,   1163,   9757,  13994,  14067,  19865, 
/* msg =   2538, deg =  6 */    450,   1531,   9513,  13033,  13905,  17083, 
/* msg =   2539, deg =  6 */   1111,   4585,   7506,  10784,  13746,  17144, 
/* msg =   2540, deg =  6 */   4446,   7778,   8181,  14925,  16557,  17248, 
/* msg =   2541, deg =  6 */   3201,   9112,   9403,  10312,  12163,  16715, 
/* msg =   2542, deg =  6 */   2133,   5784,   8080,  14365,  17683,  19991, 
/* msg =   2543, deg =  6 */   2976,   8740,   9200,  10108,  14306,  19714, 
/* msg =   2544, deg =  6 */   3925,   4168,   9135,  13484,  15939,  18029, 
/* msg =   2545, deg =  6 */   2188,   5458,   8566,  10401,  18069,  18543, 
/* msg =   2546, deg =  6 */   3125,   6731,   8365,  12112,  13560,  14976, 
/* msg =   2547, deg =  6 */   1369,   6014,   9382,  10745,  13176,  16608, 
/* msg =   2548, deg =  6 */    448,   1370,   3231,  13886,  14895,  17431, 
/* msg =   2549, deg =  6 */   3409,   4912,   6706,  11107,  12304,  13118, 
/* msg =   2550, deg =  6 */   3549,   5459,   8409,  15422,  16017,  17878, 
/* msg =   2551, deg =  6 */   5604,   8088,   9739,  10051,  13274,  19411, 
/* msg =   2552, deg =  6 */    960,   6907,   9786,  12827,  17586,  19527, 
/* msg =   2553, deg =  6 */   1975,   3425,   4403,  10399,  15294,  18793, 
/* msg =   2554, deg =  6 */   2719,   4302,   6591,  14437,  14890,  16390, 
/* msg =   2555, deg =  6 */   1656,   1862,   9401,  13184,  14434,  14444, 
/* msg =   2556, deg =  6 */     23,    690,   9553,  13007,  15398,  17041, 
/* msg =   2557, deg =  6 */   3782,   4832,   5595,  16277,  17783,  18956, 
/* msg =   2558, deg =  6 */   2712,   3472,   8180,  12407,  17054,  19539, 
/* msg =   2559, deg =  6 */     74,   1070,   7034,  15294,  15856,  17053, 
/* msg =   2560, deg =  6 */   1487,   2707,   6997,  10885,  15958,  16260, 
/* msg =   2561, deg =  6 */    266,   4877,   6361,  16810,  18470,  19192, 
/* msg =   2562, deg =  6 */   5306,   8767,   9504,  13677,  16717,  18359, 
/* msg =   2563, deg =  6 */    691,   5022,   6339,  11027,  17825,  19968, 
/* msg =   2564, deg =  6 */   3549,   4382,   6872,  13070,  14263,  17262, 
/* msg =   2565, deg =  6 */   2510,   5190,   7223,  12357,  16744,  18913, 
/* msg =   2566, deg =  6 */     97,   2761,   5033,  10484,  13599,  16840, 
/* msg =   2567, deg =  6 */     21,   2699,   6239,  12493,  13624,  16008, 
/* msg =   2568, deg =  6 */   3174,   6024,   7321,  13684,  14346,  16195, 
/* msg =   2569, deg =  6 */   5246,   5630,   9811,  12038,  17928,  19933, 
/* msg =   2570, deg =  6 */   2255,   3066,   8222,  12054,  15138,  19221, 
/* msg =   2571, deg =  6 */   3821,   6875,   7624,  12423,  16304,  17415, 
/* msg =   2572, deg =  6 */   1303,   7598,   8299,  12200,  14470,  18938, 
/* msg =   2573, deg =  6 */   1153,   4937,   7723,  10984,  14296,  19021, 
/* msg =   2574, deg =  6 */   1468,   4444,   4730,  14188,  14763,  19652, 
/* msg =   2575, deg =  6 */   3827,   4065,   9805,  10189,  14149,  16626, 
/* msg =   2576, deg =  6 */   2800,   6900,   7477,  10934,  13668,  19233, 
/* msg =   2577, deg =  6 */    478,   3228,   5191,  10672,  11091,  19909, 
/* msg =   2578, deg =  6 */     71,    183,   9683,  12831,  16359,  18972, 
/* msg =   2579, deg =  6 */   6351,   7673,   9699,  14988,  18919,  19517, 
/* msg =   2580, deg =  6 */    420,   1484,   8500,  10542,  12239,  12596, 
/* msg =   2581, deg =  6 */   3188,   5893,   8484,  12737,  13633,  19321, 
/* msg =   2582, deg =  6 */   1670,   6654,   7025,  13843,  14712,  17340, 
/* msg =   2583, deg =  6 */    175,   5862,   9516,  11735,  13526,  17918, 
/* msg =   2584, deg =  6 */    148,   6166,   6651,  10092,  19694,  19861, 
/* msg =   2585, deg =  6 */   2172,   6958,   8385,  13470,  14307,  17759, 
/* msg =   2586, deg =  6 */   1276,   1816,   4057,  14541,  15022,  18254, 
/* msg =   2587, deg =  6 */   2004,   4428,   7378,  13004,  13056,  19079, 
/* msg =   2588, deg =  6 */    893,   3541,   9716,  10796,  11272,  12399, 
/* msg =   2589, deg =  6 */   2158,   3591,   8260,  12724,  14952,  18021, 
/* msg =   2590, deg =  6 */   3593,   4628,   7776,  10849,  14446,  16400, 
/* msg =   2591, deg =  6 */    461,   2415,   4916,  13313,  16586,  19832, 
/* msg =   2592, deg =  6 */    369,   5973,   6046,  11049,  16396,  17571, 
/* msg =   2593, deg =  6 */   4430,   7504,   8818,  12047,  16209,  18998, 
/* msg =   2594, deg =  6 */   1026,   6029,   7560,  10381,  15132,  19407, 
/* msg =   2595, deg =  6 */     90,    359,   9555,  14167,  17350,  19364, 
/* msg =   2596, deg =  6 */   1481,   3251,   9464,  10411,  17154,  19804, 
/* msg =   2597, deg =  6 */   1780,   6480,   8683,  17724,  18205,  18477, 
/* msg =   2598, deg =  6 */    499,   3780,   8099,  12033,  17045,  18437, 
/* msg =   2599, deg =  6 */   4249,   4583,   8226,  11990,  13782,  18090, 
/* msg =   2600, deg =  6 */    290,   1440,   7836,  10560,  13364,  14168, 
/* msg =   2601, deg =  6 */   1298,   2942,   7138,  13394,  14939,  15337, 
/* msg =   2602, deg =  6 */    885,   6386,   9505,  14179,  14488,  19084, 
/* msg =   2603, deg =  6 */   2275,   6912,   7835,  12529,  12762,  19865, 
/* msg =   2604, deg =  6 */   6336,   6647,   9409,  13611,  14234,  18862, 
/* msg =   2605, deg =  6 */    143,   1372,   2755,  11419,  12913,  16275, 
/* msg =   2606, deg =  6 */   4602,   9130,   9817,  12760,  19027,  19734, 
/* msg =   2607, deg =  6 */    488,   2219,   5151,  12189,  13801,  15843, 
/* msg =   2608, deg =  6 */   4071,   4532,   6265,  11153,  13955,  13973, 
/* msg =   2609, deg =  6 */    299,   2510,   8493,  12132,  13904,  15437, 
/* msg =   2610, deg =  6 */    674,   3206,   5980,  10082,  13369,  17748, 
/* msg =   2611, deg =  6 */   4207,   5836,   6520,  10898,  12778,  19204, 
/* msg =   2612, deg =  6 */   5464,   6242,   6560,  13824,  15720,  19619, 
/* msg =   2613, deg =  6 */   5730,   6471,   6781,  11871,  13535,  16573, 
/* msg =   2614, deg =  6 */   8255,   8790,   8849,  16452,  16491,  19014, 
/* msg =   2615, deg =  6 */    819,   2350,   8015,  11071,  11996,  13479, 
/* msg =   2616, deg =  6 */    242,   7744,   8453,  10040,  18182,  19540, 
/* msg =   2617, deg =  6 */   6877,   9374,   9647,  11692,  14732,  17101, 
/* msg =   2618, deg =  6 */   3495,   6458,   9346,  10068,  11933,  12678, 
/* msg =   2619, deg =  6 */    455,   1079,   3333,  12441,  19809,  19869, 
/* msg =   2620, deg =  6 */   4501,   6000,   8139,  11132,  17188,  17282, 
/* msg =   2621, deg =  6 */   2787,   3423,   6764,  11991,  12271,  14407, 
/* msg =   2622, deg =  6 */   3227,   4116,   9160,  13145,  18396,  19858, 
/* msg =   2623, deg =  6 */   5817,   6369,   9854,  12581,  17757,  18430, 
/* msg =   2624, deg =  6 */   3556,   5706,   7230,  10490,  12539,  16653, 
/* msg =   2625, deg =  6 */   1154,   4735,   5669,  12383,  12738,  19450, 
/* msg =   2626, deg =  6 */   1571,   6356,   7106,  10250,  13007,  19435, 
/* msg =   2627, deg =  6 */   1152,   4453,   9027,  12420,  17157,  19881, 
/* msg =   2628, deg =  6 */    438,   2857,   5266,  14652,  16871,  18812, 
/* msg =   2629, deg =  6 */   3828,   7295,   8086,  10681,  12268,  12479, 
/* msg =   2630, deg =  6 */    849,   8226,   8825,  14975,  17708,  17766, 
/* msg =   2631, deg =  6 */   4606,   6933,   7235,  11693,  14556,  15803, 
/* msg =   2632, deg =  6 */   1995,   6216,   9760,  11240,  14644,  17185, 
/* msg =   2633, deg =  6 */   2982,   5649,   6489,  10582,  13991,  17812, 
/* msg =   2634, deg =  6 */   1867,   2297,   2390,  12060,  13934,  15541, 
/* msg =   2635, deg =  6 */   6274,   6468,   8000,  12345,  16258,  17461, 
/* msg =   2636, deg =  6 */   1252,   6826,   9714,  12136,  12296,  18067, 
/* msg =   2637, deg =  6 */   2755,   4828,   8488,  10993,  13067,  18929, 
/* msg =   2638, deg =  6 */    433,   3023,   9080,  17006,  18458,  19799, 
/* msg =   2639, deg =  6 */   4986,   8725,   9440,  12628,  18766,  19443, 
/* msg =   2640, deg =  6 */   5639,   7918,   8937,  16259,  17972,  18123, 
/* msg =   2641, deg =  6 */   2472,   4213,   5718,  11319,  14358,  14956, 
/* msg =   2642, deg =  6 */   1302,   5658,   6219,  12411,  12572,  17390, 
/* msg =   2643, deg =  6 */   3009,   5774,   7207,  14150,  17077,  17313, 
/* msg =   2644, deg =  6 */   1331,   5444,   7720,  10904,  17739,  18702, 
/* msg =   2645, deg =  6 */   3176,   3299,   5458,  10635,  11750,  15758, 
/* msg =   2646, deg =  6 */    232,   5321,   6074,  12553,  15740,  18690, 
/* msg =   2647, deg =  6 */   4260,   6568,   9399,  11349,  17856,  18072, 
/* msg =   2648, deg =  6 */   1010,   5161,   8609,  15971,  16197,  18983, 
/* msg =   2649, deg =  6 */   3678,   3980,   5460,  16074,  16121,  17980, 
/* msg =   2650, deg =  6 */   1364,   7232,   9020,  15704,  17283,  18834, 
/* msg =   2651, deg =  6 */   1547,   9509,   9577,  10690,  14312,  19387, 
/* msg =   2652, deg =  6 */   2607,   6706,   6916,  10552,  17396,  19904, 
/* msg =   2653, deg =  6 */    586,   2562,   8071,  12493,  17674,  19440, 
/* msg =   2654, deg =  6 */   1959,   3016,   8593,  10260,  12959,  18601, 
/* msg =   2655, deg =  6 */   2993,   8052,   8715,  10448,  12884,  13946, 
/* msg =   2656, deg =  6 */   7055,   7201,   7388,  12895,  18208,  19408, 
/* msg =   2657, deg =  6 */   3599,   5493,   6869,  16423,  17284,  18522, 
/* msg =   2658, deg =  6 */   3486,   3872,   8613,  11654,  17776,  19587, 
/* msg =   2659, deg =  6 */    387,   4729,   7044,  10770,  14549,  18688, 
/* msg =   2660, deg =  6 */   4519,   4551,   7838,  13231,  14482,  18400, 
/* msg =   2661, deg =  6 */   4409,   5580,   6470,  13482,  15974,  16060, 
/* msg =   2662, deg =  6 */    230,   5131,   7255,  11097,  12178,  17532, 
/* msg =   2663, deg =  6 */   2153,   3442,   3826,  10713,  14884,  18628, 
/* msg =   2664, deg =  6 */   6444,   8668,   9031,  11947,  17540,  17548, 
/* msg =   2665, deg =  6 */   2352,   3349,   3467,  13293,  18460,  19654, 
/* msg =   2666, deg =  6 */   4940,   6062,   6399,  14929,  15275,  17491, 
/* msg =   2667, deg =  6 */     27,   6475,   8191,  12616,  18927,  19523, 
/* msg =   2668, deg =  6 */   2512,   3083,   4579,  11092,  14753,  17953, 
/* msg =   2669, deg =  6 */   4535,   5340,   9547,  10391,  12189,  16072, 
/* msg =   2670, deg =  6 */    988,   1181,   9275,  10708,  17257,  18759, 
/* msg =   2671, deg =  6 */    731,   3638,   9228,  10961,  17519,  19988, 
/* msg =   2672, deg =  6 */    999,   3003,   4958,  13522,  16230,  19848, 
/* msg =   2673, deg =  6 */    870,   6375,   9181,  14861,  16097,  18051, 
/* msg =   2674, deg =  6 */   2845,   3329,   5561,  16506,  16953,  19558, 
/* msg =   2675, deg =  6 */     43,    443,   5665,  13573,  16351,  19647, 
/* msg =   2676, deg =  6 */   6800,   8175,   8680,  15360,  17662,  18984, 
/* msg =   2677, deg =  6 */     34,   5037,   9040,  11139,  12323,  13276, 
/* msg =   2678, deg =  6 */   1247,   6089,   6506,  13594,  16725,  17565, 
/* msg =   2679, deg =  6 */   2946,   3616,   5866,  13036,  14843,  17266, 
/* msg =   2680, deg =  6 */   2081,   5253,   5453,  12028,  12458,  14328, 
/* msg =   2681, deg =  6 */   1260,   2332,   4154,  10148,  14767,  15417, 
/* msg =   2682, deg =  6 */    640,   2112,   9296,  13538,  17757,  18692, 
/* msg =   2683, deg =  6 */   1911,   2257,   4064,  13355,  16293,  19074, 
/* msg =   2684, deg =  6 */   2736,   6983,   8320,  12131,  13062,  16336, 
/* msg =   2685, deg =  6 */   1270,   2410,   8708,  10016,  14829,  15535, 
/* msg =   2686, deg =  6 */   5018,   6359,   8841,  10345,  12298,  18921, 
/* msg =   2687, deg =  6 */    469,   7165,   7796,  12049,  12512,  19081, 
/* msg =   2688, deg =  6 */    303,   2334,   2506,  12290,  14528,  18635, 
/* msg =   2689, deg =  6 */   1231,   5211,   9835,  13459,  13879,  18050, 
/* msg =   2690, deg =  6 */   2221,   4047,   7429,  13001,  13744,  18816, 
/* msg =   2691, deg =  6 */   2549,   4788,   5046,  11498,  14683,  17251, 
/* msg =   2692, deg =  6 */   6227,   6729,   8115,  13211,  14154,  19430, 
/* msg =   2693, deg =  6 */    164,   2985,   6493,  12275,  12436,  16475, 
/* msg =   2694, deg =  6 */   6730,   7465,   7986,  12353,  17174,  17961, 
/* msg =   2695, deg =  6 */    235,   1161,   2537,  10137,  10800,  12300, 
/* msg =   2696, deg =  6 */   2062,   2337,   6477,  15283,  17832,  19809, 
/* msg =   2697, deg =  6 */    758,   1777,   6931,  14310,  16273,  18399, 
/* msg =   2698, deg =  6 */    653,   2471,   3147,  16566,  17574,  19705, 
/* msg =   2699, deg =  6 */    391,   1462,   6499,  11215,  12775,  16698, 
/* msg =   2700, deg =  6 */   1602,   2163,   9025,  10203,  11163,  15109, 
/* msg =   2701, deg =  6 */   4928,   8759,   9644,  11602,  14093,  19185, 
/* msg =   2702, deg =  6 */   3109,   3596,   3903,  10144,  17624,  19357, 
/* msg =   2703, deg =  6 */   1159,   1984,   9688,  12293,  14855,  18572, 
/* msg =   2704, deg =  6 */   1017,   5898,   7856,  10721,  13437,  17733, 
/* msg =   2705, deg =  6 */   1853,   4693,   7217,  10438,  14288,  14997, 
/* msg =   2706, deg =  6 */    207,   2831,   9723,  13539,  18291,  19511, 
/* msg =   2707, deg =  6 */   4802,   7921,   7963,  13439,  15852,  16232, 
/* msg =   2708, deg =  6 */   1009,   7237,   9282,  11826,  14325,  19658, 
/* msg =   2709, deg =  6 */   1242,   3027,   5687,  16158,  16714,  18105, 
/* msg =   2710, deg =  6 */   3296,   4232,   9595,  13937,  18934,  19122, 
/* msg =   2711, deg =  6 */   3375,   6240,   8775,  12632,  13773,  17778, 
/* msg =   2712, deg =  6 */   3786,   4765,   6524,  16789,  16839,  18448, 
/* msg =   2713, deg =  6 */   1295,   1385,   6472,  12767,  17251,  19634, 
/* msg =   2714, deg =  6 */   1331,   5939,   6429,  12619,  15936,  17153, 
/* msg =   2715, deg =  6 */   2182,   8125,   9616,  16854,  18124,  19058, 
/* msg =   2716, deg =  6 */   3366,   6016,   6723,  11467,  15084,  16766, 
/* msg =   2717, deg =  6 */    823,   8049,   9357,  12673,  16405,  16478, 
/* msg =   2718, deg =  6 */   3911,   4942,   5689,  10753,  16279,  19410, 
/* msg =   2719, deg =  6 */   3436,   5143,   6873,  11442,  15174,  16350, 
/* msg =   2720, deg =  6 */   1933,   8566,   8717,  10240,  11905,  19596, 
/* msg =   2721, deg =  6 */   4174,   4969,   9674,  13585,  14317,  19914, 
/* msg =   2722, deg =  6 */   2413,   2794,   6048,  12551,  13012,  17804, 
/* msg =   2723, deg =  6 */    261,   8780,   9587,  11747,  12526,  17976, 
/* msg =   2724, deg =  6 */     78,   4407,   9541,  10724,  10864,  17563, 
/* msg =   2725, deg =  6 */   4555,   6732,   8503,  13839,  17620,  19063, 
/* msg =   2726, deg =  6 */   1069,   4576,   4763,  13886,  14726,  15177, 
/* msg =   2727, deg =  6 */   6082,   6895,   7497,  15412,  16142,  19997, 
/* msg =   2728, deg =  6 */   2210,   3290,   9279,  11550,  12175,  18638, 
/* msg =   2729, deg =  6 */     65,   5304,   5754,  12023,  14140,  17189, 
/* msg =   2730, deg =  6 */   2331,   5034,   9735,  11849,  18940,  19549, 
/* msg =   2731, deg =  6 */   1781,   3683,   7586,  11554,  16816,  19046, 
/* msg =   2732, deg =  6 */   4460,   8704,   8730,  13068,  13233,  19017, 
/* msg =   2733, deg =  6 */   6878,   7488,   8679,  14734,  16529,  16763, 
/* msg =   2734, deg =  6 */   2448,   2709,   4216,  12657,  16514,  19551, 
/* msg =   2735, deg =  6 */   6834,   7306,   7347,  13550,  14613,  16182, 
/* msg =   2736, deg =  6 */   4214,   4270,   8516,  10247,  16819,  18892, 
/* msg =   2737, deg =  6 */   5467,   7819,   9689,  12403,  14431,  18131, 
/* msg =   2738, deg =  6 */   6164,   6557,   7965,  11886,  13630,  19094, 
/* msg =   2739, deg =  6 */   2002,   3960,   8300,  12318,  15217,  16874, 
/* msg =   2740, deg =  6 */   8355,   8456,   9561,  10437,  11641,  16999, 
/* msg =   2741, deg =  6 */   1359,   3897,   7855,  10072,  12030,  18979, 
/* msg =   2742, deg =  6 */   3297,   6896,   8077,  11932,  16219,  19482, 
/* msg =   2743, deg =  6 */   5372,   7395,   9833,  16325,  16419,  17618, 
/* msg =   2744, deg =  6 */   5685,   7882,   9046,  11448,  12238,  16979, 
/* msg =   2745, deg =  6 */   1781,   2527,   3720,  15057,  17814,  19581, 
/* msg =   2746, deg =  6 */   2374,   3938,   8499,  12247,  16566,  17302, 
/* msg =   2747, deg =  6 */   1374,   7484,   8818,  13454,  17889,  19950, 
/* msg =   2748, deg =  6 */    292,   1601,   6400,  12574,  13231,  19798, 
/* msg =   2749, deg =  6 */   1147,   1348,   6005,  10528,  12542,  18868, 
/* msg =   2750, deg =  6 */    504,   3586,   9529,  10299,  14759,  15997, 
/* msg =   2751, deg =  6 */    567,   2879,   4330,  10748,  16094,  17921, 
/* msg =   2752, deg =  6 */   6419,   6587,   6817,  11432,  11516,  15419, 
/* msg =   2753, deg =  6 */   2050,   3280,   9707,  11613,  14027,  16440, 
/* msg =   2754, deg =  6 */   1019,   1254,   9842,  11649,  14040,  16948, 
/* msg =   2755, deg =  6 */   1385,   4858,   8383,  10973,  15403,  17447, 
/* msg =   2756, deg =  6 */    653,   3321,   5180,  10605,  12398,  18293, 
/* msg =   2757, deg =  6 */   2720,   6166,   8745,  14775,  18130,  18266, 
/* msg =   2758, deg =  6 */   6049,   6219,   8567,  13208,  16191,  16284, 
/* msg =   2759, deg =  6 */   2525,   7748,   9762,  12564,  15472,  16465, 
/* msg =   2760, deg =  6 */    755,   1047,   2995,  10602,  11044,  14564, 
/* msg =   2761, deg =  6 */   3404,   4835,   8043,  11579,  11895,  14612, 
/* msg =   2762, deg =  6 */   2829,   4887,   8837,  10508,  14666,  15607, 
/* msg =   2763, deg =  6 */   4502,   5423,   8616,  10982,  11907,  18183, 
/* msg =   2764, deg =  6 */   2834,   4086,   5194,  13588,  19596,  19859, 
/* msg =   2765, deg =  6 */    211,   3346,   6516,  11530,  18188,  19903, 
/* msg =   2766, deg =  6 */   1112,   2097,   3668,  14617,  15334,  17036, 
/* msg =   2767, deg =  6 */   1914,   6018,   9569,  10305,  11320,  15182, 
/* msg =   2768, deg =  6 */   2452,   7509,   7765,  13846,  14859,  19269, 
/* msg =   2769, deg =  6 */   1390,   1880,   7709,  13611,  14484,  17482, 
/* msg =   2770, deg =  6 */   1318,   5537,   9083,  11816,  12836,  17568, 
/* msg =   2771, deg =  6 */    595,   4261,   6624,  13671,  14148,  17134, 
/* msg =   2772, deg =  6 */   1675,   4526,   7187,  13860,  14040,  18632, 
/* msg =   2773, deg =  6 */   1553,   5234,   7684,  10045,  11407,  12521, 
/* msg =   2774, deg =  6 */   4750,   6453,   6604,  14327,  15004,  15789, 
/* msg =   2775, deg =  6 */   4902,   5592,   9991,  12045,  17145,  18906, 
/* msg =   2776, deg =  6 */   1989,   3525,   7628,  11432,  11665,  18189, 
/* msg =   2777, deg =  6 */   4609,   5965,   8880,  10839,  13602,  19169, 
/* msg =   2778, deg =  6 */   1689,   4946,   8915,  13869,  16096,  17158, 
/* msg =   2779, deg =  6 */    769,   2495,   3213,  11483,  19348,  19953, 
/* msg =   2780, deg =  6 */   4591,   6092,   7677,  11620,  12590,  17102, 
/* msg =   2781, deg =  6 */   2477,   5172,   6831,  11480,  16976,  17408, 
/* msg =   2782, deg =  6 */   2854,   6854,   7472,  11184,  17288,  19603, 
/* msg =   2783, deg =  6 */    346,   1967,   5348,  10582,  13126,  19242, 
/* msg =   2784, deg =  6 */    729,   4352,   8853,  10532,  18302,  19013, 
/* msg =   2785, deg =  6 */   3779,   4870,   6726,  10634,  12386,  18238, 
/* msg =   2786, deg =  6 */     64,   7116,   7657,  10147,  19266,  19569, 
/* msg =   2787, deg =  6 */   1448,   4687,   5228,  10586,  17506,  17906, 
/* msg =   2788, deg =  6 */    898,   2404,   5181,  15027,  15466,  15784, 
/* msg =   2789, deg =  6 */   2222,   3921,   8358,  11888,  13629,  18458, 
/* msg =   2790, deg =  6 */   6596,   8191,   9781,  10038,  14632,  17649, 
/* msg =   2791, deg =  6 */   2295,   4158,   4365,  11311,  12769,  17209, 
/* msg =   2792, deg =  6 */   5273,   5942,   6350,  11134,  15387,  16125, 
/* msg =   2793, deg =  6 */    501,   3111,   7783,  10435,  13468,  17796, 
/* msg =   2794, deg =  6 */   2186,   2350,   6371,  12188,  17274,  19852, 
/* msg =   2795, deg =  6 */   5395,   5440,   7420,  10164,  14191,  19613, 
/* msg =   2796, deg =  6 */   2808,   8161,   8350,  11124,  11457,  18705, 
/* msg =   2797, deg =  6 */    144,   1232,   3414,  11624,  12144,  13394, 
/* msg =   2798, deg =  6 */   1748,   5273,   7969,  14238,  15583,  18738, 
/* msg =   2799, deg =  6 */   4678,   4766,   7716,  12208,  12209,  17118, 
/* msg =   2800, deg =  6 */   1548,   2041,   6170,  13154,  13159,  19682, 
/* msg =   2801, deg =  6 */   1358,   8042,   9007,  10895,  14503,  18580, 
/* msg =   2802, deg =  6 */   2766,   5265,   7066,  17139,  18249,  19499, 
/* msg =   2803, deg =  6 */   2354,   4954,   7225,  11936,  14993,  15778, 
/* msg =   2804, deg =  6 */    546,   5380,   9542,  17279,  17898,  19476, 
/* msg =   2805, deg =  6 */    498,   2093,   8264,  10102,  11893,  15193, 
/* msg =   2806, deg =  6 */   2031,   2860,   5474,  11746,  13123,  18164, 
/* msg =   2807, deg =  6 */    866,   2358,   8948,  10262,  12408,  19065, 
/* msg =   2808, deg =  6 */   1430,   5817,   9473,  10226,  17460,  19254, 
/* msg =   2809, deg =  6 */   5751,   9081,   9729,  12410,  16407,  19563, 
/* msg =   2810, deg =  6 */   7425,   7931,   9078,  10078,  11249,  12080, 
/* msg =   2811, deg =  6 */   5358,   7381,   8569,  14966,  15691,  17231, 
/* msg =   2812, deg =  6 */   2977,   3260,   8571,  11290,  11976,  16253, 
/* msg =   2813, deg =  6 */   5342,   8787,   9201,  10922,  14028,  14442, 
/* msg =   2814, deg =  6 */   2340,   7791,   7982,  11149,  11913,  17957, 
/* msg =   2815, deg =  6 */    645,   5819,   9491,  10220,  17726,  19310, 
/* msg =   2816, deg =  6 */    359,   3763,   9958,  13209,  13869,  14581, 
/* msg =   2817, deg =  6 */    609,   1919,   3476,  10602,  12740,  14856, 
/* msg =   2818, deg =  6 */    103,    588,   5574,  12304,  13411,  14361, 
/* msg =   2819, deg =  6 */   1532,   3655,   6903,  11861,  13756,  14521, 
/* msg =   2820, deg =  6 */   5631,   6379,   8167,  11446,  14784,  17448, 
/* msg =   2821, deg =  6 */   1809,   2721,   9928,  15560,  16078,  16827, 
/* msg =   2822, deg =  6 */   6996,   7574,   8205,  11784,  13904,  16001, 
/* msg =   2823, deg =  6 */   2961,   3478,   7011,  11962,  12113,  12330, 
/* msg =   2824, deg =  6 */    483,   6124,   7814,  15235,  16762,  18683, 
/* msg =   2825, deg =  6 */   8283,   8296,   9208,  11846,  13379,  16208, 
/* msg =   2826, deg =  6 */    126,   1890,   9475,  14502,  16735,  18472, 
/* msg =   2827, deg =  6 */    107,   2325,   8894,  12766,  13453,  17992, 
/* msg =   2828, deg =  6 */   2614,   6303,   7270,  10675,  11693,  17211, 
/* msg =   2829, deg =  6 */    636,   3353,   9667,  13005,  14719,  16204, 
/* msg =   2830, deg =  6 */   7600,   7687,   8697,  10370,  18098,  18185, 
/* msg =   2831, deg =  6 */   3811,   4679,   7728,  12639,  13612,  17861, 
/* msg =   2832, deg =  6 */   2246,   5160,   6222,  12658,  12761,  19763, 
/* msg =   2833, deg =  6 */     54,    222,   7877,  13883,  15672,  18961, 
/* msg =   2834, deg =  6 */   5177,   6181,   6322,  13317,  16302,  19655, 
/* msg =   2835, deg =  6 */   2200,   4435,   4500,  10061,  14643,  15672, 
/* msg =   2836, deg =  6 */   5496,   5825,   8004,  10523,  11951,  13366, 
/* msg =   2837, deg =  6 */    157,   7941,   9589,  10904,  18352,  19210, 
/* msg =   2838, deg =  6 */   4389,   8064,   9557,  10185,  11849,  16104, 
/* msg =   2839, deg =  6 */    509,   3258,   6364,  10746,  12874,  13137, 
/* msg =   2840, deg =  6 */   1044,   1838,   4340,  11990,  15888,  18913, 
/* msg =   2841, deg =  6 */     75,   3185,   6991,  10203,  11341,  12005, 
/* msg =   2842, deg =  6 */    541,   7685,   8952,  10110,  11289,  14679, 
/* msg =   2843, deg =  6 */    170,    740,   6923,  14785,  14969,  15173, 
/* msg =   2844, deg =  6 */   1241,   1901,   3706,  11185,  17030,  19585, 
/* msg =   2845, deg =  6 */   3327,   4245,   6721,  13272,  16705,  17699, 
/* msg =   2846, deg =  6 */   1123,   6194,   9068,  11177,  14441,  16836, 
/* msg =   2847, deg =  6 */    931,   5660,   6397,  17997,  18522,  19982, 
/* msg =   2848, deg =  6 */   4656,   6993,   7370,  12152,  17011,  17090, 
/* msg =   2849, deg =  6 */   1086,   7462,   9609,  12735,  18455,  19115, 
/* msg =   2850, deg =  6 */   3048,   5219,   6874,  12741,  12795,  15009, 
/* msg =   2851, deg =  6 */   4181,   6241,   7864,  15575,  17128,  18753, 
/* msg =   2852, deg =  6 */   2294,   2932,   8052,  18453,  18805,  19429, 
/* msg =   2853, deg =  6 */   3392,   5245,   8941,  13353,  16798,  18059, 
/* msg =   2854, deg =  6 */   4072,   6651,   7239,  11612,  14403,  17023, 
/* msg =   2855, deg =  6 */   3251,   8282,   9668,  13443,  15608,  16695, 
/* msg =   2856, deg =  6 */    592,   3089,   3246,  14146,  16960,  19492, 
/* msg =   2857, deg =  6 */    106,    701,   3584,  11314,  11454,  16474, 
/* msg =   2858, deg =  6 */    744,   5502,   6028,  12995,  16851,  17643, 
/* msg =   2859, deg =  6 */   1585,   2434,   2651,  10363,  10485,  13292, 
/* msg =   2860, deg =  6 */   5711,   7651,   9467,  12558,  13101,  13161, 
/* msg =   2861, deg =  6 */   3437,   3540,   7658,  12098,  18597,  19321, 
/* msg =   2862, deg =  6 */   7465,   7594,   8580,  11549,  16804,  19346, 
/* msg =   2863, deg =  6 */   6778,   9746,   9838,  15039,  17079,  18156, 
/* msg =   2864, deg =  6 */     87,   1659,   9163,  12146,  13453,  15540, 
/* msg =   2865, deg =  6 */   4276,   6453,   8509,  15767,  16291,  16332, 
/* msg =   2866, deg =  6 */    417,   4922,   6337,  15756,  17602,  19007, 
/* msg =   2867, deg =  6 */   6143,   6297,   6781,  10173,  14011,  14152, 
/* msg =   2868, deg =  6 */   3355,   4093,   4630,  11054,  14641,  18253, 
/* msg =   2869, deg =  6 */   1556,   3134,   7635,  10246,  12611,  14035, 
/* msg =   2870, deg =  6 */   7833,   8846,   9369,  13787,  15837,  19335, 
/* msg =   2871, deg =  6 */   2725,   5549,   6952,  13249,  13833,  15286, 
/* msg =   2872, deg =  6 */   3687,   5776,   5883,  13554,  13590,  13919, 
/* msg =   2873, deg =  6 */    262,   3736,   6075,  10974,  11610,  14212, 
/* msg =   2874, deg =  6 */   3795,   6722,   8566,  10578,  11396,  12397, 
/* msg =   2875, deg =  6 */   1401,   5104,   8963,  11216,  11949,  16206, 
/* msg =   2876, deg =  6 */    473,   2106,   4694,  12366,  16441,  16773, 
/* msg =   2877, deg =  6 */   1861,   2574,   3128,  13141,  15384,  15429, 
/* msg =   2878, deg =  6 */    713,   5852,   6780,  11034,  15219,  15487, 
/* msg =   2879, deg =  6 */   3524,   6455,   6786,  10248,  10691,  16052, 
/* msg =   2880, deg =  6 */   1501,   5023,   6011,  11130,  16103,  16917, 
/* msg =   2881, deg =  6 */   1726,   5233,   7331,  12350,  14609,  18012, 
/* msg =   2882, deg =  6 */   1549,   1725,   4038,  11270,  13049,  17150, 
/* msg =   2883, deg =  6 */    822,   8291,   9045,  11178,  12166,  13649, 
/* msg =   2884, deg =  6 */   2401,   2522,   8633,  10376,  11431,  16849, 
/* msg =   2885, deg =  6 */   2425,   4433,   9601,  15309,  17108,  17137, 
/* msg =   2886, deg =  6 */   4616,   5819,   9496,  16536,  16859,  19901, 
/* msg =   2887, deg =  6 */   7008,   7606,   8498,  10824,  13021,  19269, 
/* msg =   2888, deg =  6 */   5842,   6653,   9745,  11094,  14989,  15542, 
/* msg =   2889, deg =  6 */   4645,   6249,   8373,  10034,  10950,  16338, 
/* msg =   2890, deg =  6 */   2314,   4304,   5300,  13434,  18294,  18858, 
/* msg =   2891, deg =  6 */    581,   7173,   9946,  15780,  15859,  16136, 
/* msg =   2892, deg =  6 */   2369,   5382,   7936,  10573,  11522,  15783, 
/* msg =   2893, deg =  6 */    786,   2634,   3961,  10233,  15479,  19822, 
/* msg =   2894, deg =  6 */   1953,   2039,   9643,  12230,  17770,  19169, 
/* msg =   2895, deg =  6 */   1252,   4685,   6522,  10942,  12006,  19262, 
/* msg =   2896, deg =  6 */   1782,   3721,   4294,  12667,  13109,  16138, 
/* msg =   2897, deg =  6 */    201,   3768,   5149,  11861,  14900,  19593, 
/* msg =   2898, deg =  6 */   1148,   4962,   8551,  10528,  16005,  16301, 
/* msg =   2899, deg =  6 */   2633,   2639,   5184,  15015,  16148,  18986, 
/* msg =   2900, deg =  6 */   7409,   8332,   9355,  10695,  13018,  13202, 
/* msg =   2901, deg =  6 */    694,   1999,   2778,  10005,  10268,  15636, 
/* msg =   2902, deg =  6 */   2180,   8979,   9830,  14412,  15151,  16641, 
/* msg =   2903, deg =  6 */    534,    720,   1482,  12164,  12935,  17719, 
/* msg =   2904, deg =  6 */   4956,   6078,   6636,  10398,  10923,  12957, 
/* msg =   2905, deg =  6 */    637,   8562,   8808,  12746,  17300,  19992, 
/* msg =   2906, deg =  6 */   6435,   6450,   8805,  11211,  14026,  15507, 
/* msg =   2907, deg =  6 */   2240,   4675,   8684,  16656,  16895,  18365, 
/* msg =   2908, deg =  6 */    489,   5443,   9499,  12433,  13986,  18216, 
/* msg =   2909, deg =  6 */   2012,   2704,   5149,  13821,  17029,  19023, 
/* msg =   2910, deg =  6 */   1086,   5368,   9743,  12769,  13441,  16379, 
/* msg =   2911, deg =  6 */   5773,   7051,   9452,  13779,  14996,  17944, 
/* msg =   2912, deg =  6 */   2336,   3119,   7540,  12022,  12770,  13971, 
/* msg =   2913, deg =  6 */   2449,   6534,   7834,  16397,  19033,  19455, 
/* msg =   2914, deg =  6 */    135,   7533,   9686,  10971,  18183,  18325, 
/* msg =   2915, deg =  6 */    752,   4940,   9033,  12487,  17074,  18951, 
/* msg =   2916, deg =  6 */   1941,   4907,   7844,  10395,  12971,  19316, 
/* msg =   2917, deg =  6 */   1438,   4817,   7585,  14592,  16731,  18418, 
/* msg =   2918, deg =  6 */   2552,   3170,   9156,  15369,  17297,  19760, 
/* msg =   2919, deg =  6 */    121,   1676,   5120,  14218,  15652,  19004, 
/* msg =   2920, deg =  6 */   5756,   6343,   8914,  10089,  15621,  17252, 
/* msg =   2921, deg =  6 */   7162,   7562,   7990,  12692,  14213,  15764, 
/* msg =   2922, deg =  6 */     20,   1523,   8956,  13765,  16332,  19489, 
/* msg =   2923, deg =  6 */    625,   2750,   4560,  11668,  15403,  17407, 
/* msg =   2924, deg =  6 */   3086,   3350,   4909,  13212,  18322,  19844, 
/* msg =   2925, deg =  6 */    631,   6407,   8688,  17296,  17358,  19920, 
/* msg =   2926, deg =  6 */   6047,   6493,   7376,  12113,  18273,  18945, 
/* msg =   2927, deg =  6 */   2793,   5552,   7316,  14871,  15172,  15421, 
/* msg =   2928, deg =  6 */      4,    223,   2452,  12583,  14166,  18349, 
/* msg =   2929, deg =  6 */    273,   2995,   4400,  14117,  19150,  19319, 
/* msg =   2930, deg =  6 */   3085,   3772,   7364,  15055,  19892,  19923, 
/* msg =   2931, deg =  6 */   1736,   3410,   4324,  12241,  16274,  18923, 
/* msg =   2932, deg =  6 */   3858,   8046,   9754,  10362,  19272,  19315, 
/* msg =   2933, deg =  6 */   1691,   1795,   2994,  15133,  17193,  19382, 
/* msg =   2934, deg =  6 */    523,   4033,   8557,  19193,  19462,  19849, 
/* msg =   2935, deg =  6 */   1074,   1771,   5014,  10455,  13391,  18796, 
/* msg =   2936, deg =  6 */    543,    686,   2378,  11075,  11830,  14383, 
/* msg =   2937, deg =  6 */    616,   3707,   5300,  10653,  12040,  16461, 
/* msg =   2938, deg =  6 */   5993,   8667,   8807,  11468,  13882,  16843, 
/* msg =   2939, deg =  6 */   1104,   4655,   4773,  12103,  13024,  15126, 
/* msg =   2940, deg =  6 */    764,    768,   7418,  10876,  11372,  19342, 
/* msg =   2941, deg =  6 */   8359,   8361,   9530,  11708,  16559,  19724, 
/* msg =   2942, deg =  6 */   2478,   7326,   8508,  10115,  10490,  18055, 
/* msg =   2943, deg =  6 */   1710,   6689,   9419,  10345,  11501,  19386, 
/* msg =   2944, deg =  6 */   2287,   3588,   8159,  14665,  15782,  16593, 
/* msg =   2945, deg =  6 */   1551,   3501,   6597,  13871,  16481,  19058, 
/* msg =   2946, deg =  6 */   3454,   5664,   9498,  11099,  17016,  18996, 
/* msg =   2947, deg =  6 */   1732,   6523,   8573,  13101,  14888,  16871, 
/* msg =   2948, deg =  6 */    923,   9347,   9562,  12440,  14069,  17196, 
/* msg =   2949, deg =  6 */   2802,   4886,   6905,  10279,  12826,  14167, 
/* msg =   2950, deg =  6 */   8630,   9282,   9831,  11015,  15187,  17181, 
/* msg =   2951, deg =  6 */   2370,   3662,   6285,  10221,  19442,  19719, 
/* msg =   2952, deg =  6 */    811,   5228,   5906,  13563,  18902,  19565, 
/* msg =   2953, deg =  6 */   4982,   8477,   9171,  13713,  14169,  16400, 
/* msg =   2954, deg =  6 */    156,   1570,   5041,  10186,  15288,  17716, 
/* msg =   2955, deg =  6 */   7833,   8765,   9799,  10977,  17453,  18866, 
/* msg =   2956, deg =  6 */    543,    721,   8998,  11548,  12082,  18992, 
/* msg =   2957, deg =  6 */   3343,   3814,   4673,  15496,  19397,  19447, 
/* msg =   2958, deg =  6 */   2025,   3712,   9344,  10954,  16145,  16403, 
/* msg =   2959, deg =  6 */   3961,   6844,   8660,  10430,  15609,  17049, 
/* msg =   2960, deg =  6 */    516,   1136,   4830,  10077,  14010,  17819, 
/* msg =   2961, deg =  6 */   2577,   2721,   3920,  10888,  15057,  15726, 
/* msg =   2962, deg =  6 */   1811,   7142,   9403,  12270,  15341,  18635, 
/* msg =   2963, deg =  6 */   5516,   9031,   9631,  11421,  13830,  17925, 
/* msg =   2964, deg =  6 */   4753,   6245,   6836,  12824,  14335,  18335, 
/* msg =   2965, deg =  6 */   1595,   6104,   9242,  13165,  18872,  18909, 
/* msg =   2966, deg =  6 */    354,    919,   9076,  13192,  15557,  16142, 
/* msg =   2967, deg =  6 */   1335,   6279,   6635,  12537,  14621,  18346, 
/* msg =   2968, deg =  6 */    301,    887,   5626,  10300,  12280,  12617, 
/* msg =   2969, deg =  6 */   3010,   8173,   8513,  17714,  17840,  19248, 
/* msg =   2970, deg =  6 */    136,   6805,   8198,  13586,  16096,  18065, 
/* msg =   2971, deg =  6 */   2014,   3162,   5157,  13948,  16559,  16764, 
/* msg =   2972, deg =  6 */    862,   2940,   4735,  11161,  18707,  19070, 
/* msg =   2973, deg =  6 */   3568,   4560,   6901,  11095,  13983,  14159, 
/* msg =   2974, deg =  6 */   3330,   5280,   6887,  11713,  14603,  17505, 
/* msg =   2975, deg =  6 */   2383,   9099,   9740,  15405,  16929,  17762, 
/* msg =   2976, deg =  6 */   1205,   4279,   5486,  11002,  11207,  18368, 
/* msg =   2977, deg =  6 */   2594,   4118,   5039,  10171,  13148,  19562, 
/* msg =   2978, deg =  6 */    284,    859,   1659,  17551,  18037,  19986, 
/* msg =   2979, deg =  6 */   3307,   3613,   6536,  10771,  14563,  19885, 
/* msg =   2980, deg =  6 */   2055,   5045,   5157,  12886,  16970,  17952, 
/* msg =   2981, deg =  6 */   8364,   9144,   9426,  12179,  14113,  16416, 
/* msg =   2982, deg =  6 */   2355,   8676,   9465,  12923,  14968,  17589, 
/* msg =   2983, deg =  6 */     50,   1571,   4268,  10059,  13090,  18052, 
/* msg =   2984, deg =  6 */   4531,   6129,   8057,  12400,  15761,  19591, 
/* msg =   2985, deg =  6 */   1077,   3467,   4803,  12408,  15889,  19899, 
/* msg =   2986, deg =  6 */   2372,   4431,   5038,  10651,  14304,  16464, 
/* msg =   2987, deg =  6 */   1475,   1947,   6956,  12669,  14751,  17026, 
/* msg =   2988, deg =  6 */   5344,   7643,   9219,  10553,  10797,  11053, 
/* msg =   2989, deg =  6 */   1049,   1300,   4183,  10460,  19324,  19438, 
/* msg =   2990, deg =  6 */   4316,   4545,   6153,  13305,  16857,  18485, 
/* msg =   2991, deg =  6 */   2988,   3313,   8839,  13254,  13263,  14618, 
/* msg =   2992, deg =  6 */   1267,   3923,   3973,  10301,  13000,  13442, 
/* msg =   2993, deg =  6 */    174,   7233,   9756,  13615,  17812,  18390, 
/* msg =   2994, deg =  6 */    185,   4295,   4713,  11860,  12391,  18284, 
/* msg =   2995, deg =  6 */   6953,   7573,   8128,  11217,  13469,  14206, 
/* msg =   2996, deg =  6 */    466,   5064,   7787,  14179,  18426,  19967, 
/* msg =   2997, deg =  6 */    352,   5391,   6370,  14608,  17470,  19263, 
/* msg =   2998, deg =  6 */   2384,   7848,   8973,  14111,  18209,  19823, 
/* msg =   2999, deg =  6 */    360,   3254,   4839,  12316,  14435,  15390, 
/* msg =   3000, deg =  6 */   2399,   8500,   8653,  16491,  17794,  19663, 
/* msg =   3001, deg =  6 */   6175,   6867,   7669,  13083,  14086,  18387, 
/* msg =   3002, deg =  6 */   1293,   1982,   5136,  13365,  15176,  16453, 
/* msg =   3003, deg =  6 */   2553,   5696,   9443,  12103,  16086,  16528, 
/* msg =   3004, deg =  6 */   1294,   1564,   6601,  10112,  12698,  16873, 
/* msg =   3005, deg =  6 */   2219,   5283,   9105,  13619,  15455,  17100, 
/* msg =   3006, deg =  6 */   3535,   7690,   9005,  10800,  13271,  16821, 
/* msg =   3007, deg =  6 */    444,   1903,   9566,  13087,  14260,  18102, 
/* msg =   3008, deg =  6 */    551,   1348,   8466,  13032,  14314,  17455, 
/* msg =   3009, deg =  6 */    735,    783,   8426,  13401,  13977,  14998, 
/* msg =   3010, deg =  6 */   2127,   2285,   9799,  10618,  14156,  16379, 
/* msg =   3011, deg =  6 */   3098,   6087,   6865,  11889,  13650,  15189, 
/* msg =   3012, deg =  6 */    249,   3188,   8634,  10415,  11395,  14176, 
/* msg =   3013, deg =  6 */   1014,   6097,   9734,  14552,  15582,  18818, 
/* msg =   3014, deg =  6 */   4415,   9014,   9524,  12828,  13029,  18573, 
/* msg =   3015, deg =  6 */   2801,   3627,   7892,  16701,  17104,  18558, 
/* msg =   3016, deg =  6 */   1411,   2739,   7839,  12510,  15585,  15837, 
/* msg =   3017, deg =  6 */   2496,   4911,   8407,  13527,  13876,  15659, 
/* msg =   3018, deg =  6 */   4426,   9797,   9943,  10024,  15063,  18950, 
/* msg =   3019, deg =  6 */    950,   1896,   9949,  13545,  14412,  18188, 
/* msg =   3020, deg =  6 */   6431,   6603,   7442,  15304,  17074,  18778, 
/* msg =   3021, deg =  6 */    320,   7264,   8722,  11694,  11975,  19997, 
/* msg =   3022, deg =  6 */    689,   1613,   9411,  17734,  18849,  19588, 
/* msg =   3023, deg =  6 */    153,   4967,   7566,  11702,  11778,  18499, 
/* msg =   3024, deg =  6 */   2287,   2836,   6977,  11724,  15963,  16581, 
/* msg =   3025, deg =  6 */   2546,   4175,   8293,  11500,  14036,  17580, 
/* msg =   3026, deg =  6 */    269,   1337,   1873,  10731,  14724,  17603, 
/* msg =   3027, deg =  6 */   6261,   8450,   9342,  15056,  16868,  18627, 
/* msg =   3028, deg =  6 */    497,   2128,   2948,  12952,  15156,  18018, 
/* msg =   3029, deg =  6 */     31,   4771,   7769,  12203,  13344,  19745, 
/* msg =   3030, deg =  6 */   1330,   1639,   7821,  11264,  15817,  18723, 
/* msg =   3031, deg =  6 */   5981,   7607,   8367,  15498,  16792,  19031, 
/* msg =   3032, deg =  6 */   3025,   4611,   9057,  11810,  14647,  15710, 
/* msg =   3033, deg =  6 */   4290,   4555,   9079,  14586,  17124,  19532, 
/* msg =   3034, deg =  6 */   3122,   4360,   6372,  10935,  11733,  17150, 
/* msg =   3035, deg =  6 */   3752,   6984,   8467,  18531,  19443,  19966, 
/* msg =   3036, deg =  6 */   3837,   4996,   9212,  12144,  14030,  18393, 
/* msg =   3037, deg =  6 */    154,   1377,   2666,  10107,  16127,  18388, 
/* msg =   3038, deg =  6 */    753,   2533,   7322,  12100,  14534,  15244, 
/* msg =   3039, deg =  6 */    830,   6428,   9542,  10367,  14974,  18035, 
/* msg =   3040, deg =  6 */   8036,   9420,   9671,  15333,  16605,  17312, 
/* msg =   3041, deg =  6 */   1069,   1330,   5557,  16748,  17295,  17608, 
/* msg =   3042, deg =  6 */   2925,   5140,   9512,  13759,  16539,  18807, 
/* msg =   3043, deg =  6 */   2076,   5087,   8154,  10784,  17826,  18219, 
/* msg =   3044, deg =  6 */    252,   9257,   9326,  12340,  16499,  17873, 
/* msg =   3045, deg =  6 */   3411,   7743,   7755,  17234,  17886,  19689, 
/* msg =   3046, deg =  6 */   1556,   1990,   6571,  12420,  13381,  14779, 
/* msg =   3047, deg =  6 */     94,   5599,   9847,  10303,  12967,  19802, 
/* msg =   3048, deg =  6 */    760,   2329,   2848,  10578,  12475,  18029, 
/* msg =   3049, deg =  6 */   1116,   2212,   5855,  12497,  14747,  18262, 
/* msg =   3050, deg =  6 */     79,   3046,   4933,  13400,  18899,  19996, 
/* msg =   3051, deg =  6 */    126,   7046,   7590,  11149,  18134,  18493, 
/* msg =   3052, deg =  6 */   6282,   7710,   9172,  12992,  17483,  18671, 
/* msg =   3053, deg =  6 */   1461,   8189,   9896,  12063,  12904,  16850, 
/* msg =   3054, deg =  6 */   1098,   7155,   8732,  15738,  16875,  18466, 
/* msg =   3055, deg =  6 */   1496,   4189,   9223,  12732,  13916,  17801, 
/* msg =   3056, deg =  6 */   2298,   6150,   8831,  10351,  13451,  16685, 
/* msg =   3057, deg =  6 */   4347,   7606,   8825,  11569,  13191,  14791, 
/* msg =   3058, deg =  6 */   5261,   9019,   9098,  11887,  18450,  18940, 
/* msg =   3059, deg =  6 */     10,    688,   6880,  14680,  18038,  19207, 
/* msg =   3060, deg =  6 */   3435,   7843,   9188,  13216,  15584,  19695, 
/* msg =   3061, deg =  6 */   6365,   6706,   8562,  16598,  18352,  18644, 
/* msg =   3062, deg =  6 */   6417,   8492,   9787,  11560,  17008,  17640, 
/* msg =   3063, deg =  6 */   4984,   8858,   9102,  13275,  15434,  15762, 
/* msg =   3064, deg =  6 */     11,   3497,   4913,  10036,  15183,  19286, 
/* msg =   3065, deg =  6 */   1318,   2402,   8067,  11152,  13172,  14088, 
/* msg =   3066, deg =  6 */   3245,   4518,   5889,  11072,  13285,  13579, 
/* msg =   3067, deg =  6 */    657,   1949,   4709,  11292,  11778,  15741, 
/* msg =   3068, deg =  6 */    324,   5546,   6740,  18126,  18757,  19835, 
/* msg =   3069, deg =  6 */   3664,   8415,   8705,  12966,  14948,  18817, 
/* msg =   3070, deg =  6 */   1398,   4241,   6462,  12392,  14346,  17739, 
/* msg =   3071, deg =  6 */   1817,   1989,   5478,  13176,  15337,  17174, 
/* msg =   3072, deg =  6 */    466,   3635,   7774,  10090,  10834,  19396, 
/* msg =   3073, deg =  6 */    434,   1922,   4578,  13936,  16715,  17475, 
/* msg =   3074, deg =  6 */   4369,   4605,   5271,  10422,  14326,  18579, 
/* msg =   3075, deg =  6 */   3967,   8140,   8657,  14578,  14812,  19760, 
/* msg =   3076, deg =  6 */   1854,   4827,   7475,  10098,  15400,  19088, 
/* msg =   3077, deg =  6 */   6510,   7365,   7878,  10940,  12197,  15966, 
/* msg =   3078, deg =  6 */   4040,   7198,   9795,  11043,  15305,  19622, 
/* msg =   3079, deg =  6 */    275,   6483,   9746,  11499,  11822,  16946, 
/* msg =   3080, deg =  6 */   3658,   4407,   8929,  11495,  11900,  13980, 
/* msg =   3081, deg =  6 */   1047,   1807,   7933,  11352,  12150,  19216, 
/* msg =   3082, deg =  6 */   1214,   3570,   4053,  13986,  15271,  15444, 
/* msg =   3083, deg =  6 */   1938,   6137,   8931,  14064,  17936,  19426, 
/* msg =   3084, deg =  6 */    807,   3169,   9286,  15682,  17821,  19395, 
/* msg =   3085, deg =  6 */   2196,   3860,   5084,  17942,  18635,  19649, 
/* msg =   3086, deg =  6 */   3902,   4319,   8548,  12607,  13941,  17471, 
/* msg =   3087, deg =  6 */   5399,   7948,   8263,  16831,  17600,  17752, 
/* msg =   3088, deg =  6 */   2665,   4275,   8372,  10927,  17974,  19961, 
/* msg =   3089, deg =  6 */   1623,   1734,   6953,  13861,  18806,  19050, 
/* msg =   3090, deg =  6 */   4262,   4299,   5427,  12253,  12733,  17772, 
/* msg =   3091, deg =  6 */   1795,   2189,   8960,  12154,  12632,  17788, 
/* msg =   3092, deg =  6 */   4527,   5916,   7606,  10426,  11805,  16666, 
/* msg =   3093, deg =  6 */   1767,   3019,   4019,  10194,  12902,  14172, 
/* msg =   3094, deg =  6 */   3334,   3477,   6664,  10680,  12100,  18695, 
/* msg =   3095, deg =  6 */   2866,   5176,   9566,  11419,  14710,  18515, 
/* msg =   3096, deg =  6 */    872,   1629,   9475,  15665,  17327,  18061, 
/* msg =   3097, deg =  6 */   2386,   3991,   8309,  10200,  13000,  15044, 
/* msg =   3098, deg =  6 */    693,   2874,   9962,  12552,  14261,  14541, 
/* msg =   3099, deg =  6 */   1358,   1735,   6812,  14208,  17833,  19350, 
/* msg =   3100, deg =  6 */     67,   1290,   7425,  18362,  18375,  19774, 
/* msg =   3101, deg =  6 */    968,   8126,   9265,  11477,  11703,  17209, 
/* msg =   3102, deg =  6 */   4350,   5861,   9669,  15402,  17146,  17458, 
/* msg =   3103, deg =  6 */   3624,   4127,   9548,  13846,  17304,  18521, 
/* msg =   3104, deg =  6 */   1414,   4825,   9417,  16504,  18432,  19297, 
/* msg =   3105, deg =  6 */   1615,   1694,   4424,  15300,  18153,  18888, 
/* msg =   3106, deg =  6 */   2013,   4865,   6491,  15212,  17929,  19693, 
/* msg =   3107, deg =  6 */   4904,   9340,   9929,  10235,  18463,  18888, 
/* msg =   3108, deg =  6 */    235,   1555,   9945,  16435,  18328,  19009, 
/* msg =   3109, deg =  6 */   3494,   7905,   8442,  15241,  15527,  15759, 
/* msg =   3110, deg =  6 */   4382,   8624,   9649,  14277,  17793,  19984, 
/* msg =   3111, deg =  6 */   1293,   2321,   8778,  15028,  16667,  16682, 
/* msg =   3112, deg =  6 */   4039,   4941,   5032,  11780,  17485,  19803, 
/* msg =   3113, deg =  6 */    811,   6865,   7153,  17452,  18155,  18551, 
/* msg =   3114, deg =  6 */   7597,   9059,   9291,  11920,  11995,  12222, 
/* msg =   3115, deg =  6 */   2230,   5088,   7645,  10347,  15502,  15511, 
/* msg =   3116, deg =  6 */    959,   1125,   2285,  10766,  11347,  16696, 
/* msg =   3117, deg =  6 */   1667,   3376,   7234,  12317,  16907,  17463, 
/* msg =   3118, deg =  6 */   3317,   4593,   5279,  10124,  10384,  18708, 
/* msg =   3119, deg =  6 */   3840,   5281,   9955,  12644,  13003,  14175, 
/* msg =   3120, deg =  6 */   3463,   4980,   5575,  10412,  13621,  17204, 
/* msg =   3121, deg =  6 */   3416,   6627,   8674,  14360,  14853,  16758, 
/* msg =   3122, deg =  6 */      2,   2565,   6619,  14875,  15888,  18497, 
/* msg =   3123, deg =  6 */   2881,   3260,   8814,  16493,  18366,  18386, 
/* msg =   3124, deg =  6 */   7303,   9002,   9056,  13687,  14370,  15210, 
/* msg =   3125, deg =  6 */   1059,   5513,   6283,  13487,  14087,  19131, 
/* msg =   3126, deg =  6 */    672,   2479,   2982,  11153,  18567,  18878, 
/* msg =   3127, deg =  6 */   1293,   5398,   6790,  10494,  11363,  11490, 
/* msg =   3128, deg =  6 */   1215,   1282,   1549,  16281,  18976,  19387, 
/* msg =   3129, deg =  6 */   1589,   2618,   9355,  12466,  15185,  15703, 
/* msg =   3130, deg =  6 */   1154,   3544,   8758,  11369,  15483,  19735, 
/* msg =   3131, deg =  6 */   2667,   5977,   6644,  12374,  19034,  19080, 
/* msg =   3132, deg =  6 */   3552,   5724,   6067,  10239,  13517,  18781, 
/* msg =   3133, deg =  6 */   2236,   5164,   6212,  10951,  15230,  15814, 
/* msg =   3134, deg =  6 */    782,   1685,   7238,  14309,  16695,  19981, 
/* msg =   3135, deg =  6 */   3833,   5450,   9191,  16162,  17163,  18212, 
/* msg =   3136, deg =  6 */   1769,   2508,   3153,  11328,  13333,  19779, 
/* msg =   3137, deg =  6 */   2987,   4191,   5383,  10408,  16145,  16508, 
/* msg =   3138, deg =  6 */   2269,   6089,   8179,  10041,  11651,  13806, 
/* msg =   3139, deg =  6 */   3978,   6910,   8283,  10632,  14986,  18840, 
/* msg =   3140, deg =  6 */   1492,   3661,   8124,  13926,  16327,  19136, 
/* msg =   3141, deg =  6 */   3456,   6389,   6536,  12173,  12346,  13707, 
/* msg =   3142, deg =  6 */   2613,   4084,   7892,  11429,  15692,  16267, 
/* msg =   3143, deg =  6 */   2570,   3696,   4922,  16585,  17022,  19547, 
/* msg =   3144, deg =  6 */   1246,   4234,   4606,  12415,  12459,  17275, 
/* msg =   3145, deg =  6 */    712,   2034,   2421,  12973,  13497,  15890, 
/* msg =   3146, deg =  6 */   2899,   3804,   3981,  12005,  14921,  18344, 
/* msg =   3147, deg =  6 */    799,   3288,   9881,  10440,  10591,  11056, 
/* msg =   3148, deg =  6 */   1561,   2223,   5043,  15108,  18469,  19202, 
/* msg =   3149, deg =  6 */   2700,   6543,   6556,  10375,  14642,  19206, 
/* msg =   3150, deg =  6 */    854,   2581,   6116,  10288,  13166,  19858, 
/* msg =   3151, deg =  6 */   1504,   1684,   5920,  16574,  17002,  18709, 
/* msg =   3152, deg =  6 */   4117,   5662,   9126,  10863,  12115,  14460, 
/* msg =   3153, deg =  6 */    203,   5649,   8235,  12582,  16212,  18100, 
/* msg =   3154, deg =  6 */   2175,   3390,   6296,  14754,  18363,  18822, 
/* msg =   3155, deg =  6 */    564,   5071,   8375,  10228,  13809,  15411, 
/* msg =   3156, deg =  6 */   1310,   3133,   5663,  12262,  15840,  18602, 
/* msg =   3157, deg =  6 */   2158,   2681,   8232,  13556,  17794,  19052, 
/* msg =   3158, deg =  6 */   2258,   3293,   4004,  12879,  13526,  19922, 
/* msg =   3159, deg =  6 */   8310,   8539,   8568,  10570,  11562,  16902, 
/* msg =   3160, deg =  6 */   1967,   8808,   9882,  10493,  15021,  15495, 
/* msg =   3161, deg =  6 */   4038,   6047,   8541,  14312,  14601,  16664, 
/* msg =   3162, deg =  6 */    100,   1699,   2341,  10512,  14129,  18213, 
/* msg =   3163, deg =  6 */   7362,   7833,   7984,  10570,  11227,  13884, 
/* msg =   3164, deg =  6 */   4155,   5334,   5346,  11560,  13463,  18904, 
/* msg =   3165, deg =  6 */    155,    861,   5821,  11038,  11556,  18578, 
/* msg =   3166, deg =  6 */   7079,   7567,   7604,  11053,  14774,  19370, 
/* msg =   3167, deg =  6 */   1797,   2029,   7728,  10710,  14355,  18614, 
/* msg =   3168, deg =  6 */    966,   2682,   8771,  14517,  16893,  19033, 
/* msg =   3169, deg =  6 */   3336,   4472,   6526,  10542,  15412,  16236, 
/* msg =   3170, deg =  6 */   1550,   3531,   6229,  11016,  15979,  17719, 
/* msg =   3171, deg =  6 */   1690,   2747,   9424,  12976,  16366,  18433, 
/* msg =   3172, deg =  6 */   6784,   7368,   9938,  12151,  12972,  15091, 
/* msg =   3173, deg =  6 */    686,   2057,   6672,  11508,  14441,  18647, 
/* msg =   3174, deg =  6 */    918,   5156,   7674,  15926,  19295,  19762, 
/* msg =   3175, deg =  6 */   5961,   6046,   7058,  12592,  13168,  18478, 
/* msg =   3176, deg =  6 */   3650,   3787,   6545,  11667,  12697,  19191, 
/* msg =   3177, deg =  6 */   1439,   5703,   8817,  10674,  11682,  11919, 
/* msg =   3178, deg =  6 */    985,   4881,   9901,  10175,  11763,  14386, 
/* msg =   3179, deg =  6 */   1976,   2382,   5827,  12430,  14301,  15430, 
/* msg =   3180, deg =  6 */   1744,   6486,   7752,  13171,  15709,  18706, 
/* msg =   3181, deg =  6 */    125,   2605,   3160,  10652,  12436,  18813, 
/* msg =   3182, deg =  6 */     73,   4083,   8761,  12385,  14674,  18895, 
/* msg =   3183, deg =  6 */    798,   1814,   6992,  15004,  16541,  18545, 
/* msg =   3184, deg =  6 */   4387,   7218,   8188,  12294,  14546,  18711, 
/* msg =   3185, deg =  6 */   8065,   9422,   9430,  15705,  16913,  17894, 
/* msg =   3186, deg =  6 */   1768,   2904,   4395,  13968,  15130,  18199, 
/* msg =   3187, deg =  6 */   5434,   7015,   8249,  10878,  13299,  19868, 
/* msg =   3188, deg =  6 */   5613,   6489,   6827,  12443,  12490,  14133, 
/* msg =   3189, deg =  6 */   3264,   7195,   9658,  11001,  12176,  18866, 
/* msg =   3190, deg =  6 */   4187,   6621,   9121,  10660,  13663,  17616, 
/* msg =   3191, deg =  6 */    625,   2256,   8793,  12204,  18497,  18576, 
/* msg =   3192, deg =  6 */     19,   1986,   4535,  12894,  14979,  17683, 
/* msg =   3193, deg =  6 */    983,   3135,   4430,  10150,  17543,  18768, 
/* msg =   3194, deg =  6 */   5157,   6342,   9601,  14868,  15995,  17294, 
/* msg =   3195, deg =  6 */   4983,   7377,   8594,  13941,  14344,  14537, 
/* msg =   3196, deg =  6 */   3194,   5618,   8462,  11907,  12935,  18087, 
/* msg =   3197, deg =  6 */   4139,   5960,   9387,  15793,  18419,  19144, 
/* msg =   3198, deg =  6 */   2827,   3625,   9631,  12398,  15954,  18814, 
/* msg =   3199, deg =  6 */   3975,   4035,   4586,  10026,  11214,  16511, 
/* msg =   3200, deg =  6 */   6516,   6978,   8770,  13326,  14770,  15578, 
/* msg =   3201, deg =  6 */    895,   1868,   8970,  11596,  15050,  17369, 
/* msg =   3202, deg =  6 */   1873,   9079,   9195,  12348,  15238,  18960, 
/* msg =   3203, deg =  6 */   3428,   5832,   9342,  14265,  18797,  19973, 
/* msg =   3204, deg =  6 */    864,   6143,   8372,  10606,  10979,  11999, 
/* msg =   3205, deg =  6 */   4133,   7481,   8690,  11484,  12123,  15105, 
/* msg =   3206, deg =  6 */   2742,   3725,   9006,  10196,  10861,  14082, 
/* msg =   3207, deg =  6 */   4670,   8445,   9655,  11277,  13598,  18539, 
/* msg =   3208, deg =  6 */   3685,   4516,   4797,  14855,  16216,  19792, 
/* msg =   3209, deg =  6 */   4582,   5723,   5960,  14880,  17064,  18986, 
/* msg =   3210, deg =  6 */    514,    998,   6742,  12365,  16467,  18263, 
/* msg =   3211, deg =  6 */   1842,   8471,   9583,  10765,  11238,  13338, 
/* msg =   3212, deg =  6 */   5436,   6341,   8816,  11792,  18239,  19394, 
/* msg =   3213, deg =  6 */    687,   3936,   5934,  13017,  14340,  19753, 
/* msg =   3214, deg =  6 */   3397,   5319,   9559,  10945,  14199,  19379, 
/* msg =   3215, deg =  6 */   1307,   3815,   8614,  11449,  15148,  17705, 
/* msg =   3216, deg =  6 */    393,   2171,   9484,  11180,  14187,  16054, 
/* msg =   3217, deg =  6 */    247,   1179,   4022,  10041,  12023,  18664, 
/* msg =   3218, deg =  6 */   6213,   7945,   9898,  11104,  17098,  17769, 
/* msg =   3219, deg =  6 */   3398,   8646,   9894,  15840,  18543,  19621, 
/* msg =   3220, deg =  6 */    800,   4985,   6175,  12524,  14494,  16835, 
/* msg =   3221, deg =  6 */   1247,   3212,   5337,  12299,  12872,  16042, 
/* msg =   3222, deg =  6 */    655,   4990,   9965,  12841,  16286,  17478, 
/* msg =   3223, deg =  6 */   2011,   8949,   9938,  10833,  14426,  16320, 
/* msg =   3224, deg =  6 */   3600,   4482,   9605,  11964,  18068,  18301, 
/* msg =   3225, deg =  6 */    375,   1563,   9679,  14984,  15127,  17162, 
/* msg =   3226, deg =  6 */   3201,   5159,   6906,  10221,  17760,  17860, 
/* msg =   3227, deg =  6 */   2832,   4656,   8762,  15076,  15803,  19800, 
/* msg =   3228, deg =  6 */   1079,   2911,   4744,  15017,  17285,  19624, 
/* msg =   3229, deg =  6 */   6224,   7072,   9827,  12117,  14233,  17971, 
/* msg =   3230, deg =  6 */   2215,   3362,   8946,  11229,  17430,  19226, 
/* msg =   3231, deg =  6 */   5100,   5207,   7057,  10318,  11289,  13193, 
/* msg =   3232, deg =  6 */   2197,   3623,   9918,  15224,  15387,  19933, 
/* msg =   3233, deg =  6 */   7048,   9213,   9539,  11081,  12087,  14110, 
/* msg =   3234, deg =  6 */   3954,   7707,   7749,  15131,  16092,  17799, 
/* msg =   3235, deg =  6 */   5410,   9549,   9841,  16018,  19533,  19768, 
/* msg =   3236, deg =  6 */   1507,   6948,   9468,  11586,  13465,  18342, 
/* msg =   3237, deg =  6 */   3455,   6044,   6911,  10335,  12850,  15877, 
/* msg =   3238, deg =  6 */    150,   5078,   7934,  14482,  17505,  18512, 
/* msg =   3239, deg =  6 */   1809,   3573,   9235,  12892,  13244,  18749, 
/* msg =   3240, deg =  6 */   6884,   8023,   9856,  10078,  10165,  13463, 
/* msg =   3241, deg =  6 */    349,   5769,   9415,  10633,  10824,  14686, 
/* msg =   3242, deg =  6 */     25,   3318,   5696,  10999,  11931,  18018, 
/* msg =   3243, deg =  6 */   3982,   9265,   9757,  13524,  13609,  13999, 
/* msg =   3244, deg =  6 */   1332,   2541,   6460,  12068,  15787,  16669, 
/* msg =   3245, deg =  6 */   2423,   6596,   7554,  12486,  16926,  17072, 
/* msg =   3246, deg =  6 */   3178,   4768,   9230,  14788,  14824,  18884, 
/* msg =   3247, deg =  6 */   2876,   3520,   5008,  12429,  15040,  15301, 
/* msg =   3248, deg =  6 */   2602,   3774,   9442,  10637,  11723,  17611, 
/* msg =   3249, deg =  6 */    696,   4813,   7852,  13153,  13784,  17549, 
/* msg =   3250, deg =  6 */   2587,   5547,   6422,  10763,  15950,  16637, 
/* msg =   3251, deg =  6 */   1373,   1660,   5309,  11547,  11568,  13912, 
/* msg =   3252, deg =  6 */   2415,   5716,   7315,  14066,  17484,  18518, 
/* msg =   3253, deg =  6 */   1150,   1297,   9252,  11306,  13931,  18020, 
/* msg =   3254, deg =  6 */   2176,   8841,   9898,  13210,  14707,  17207, 
/* msg =   3255, deg =  6 */   7370,   7532,   9778,  13770,  15002,  18514, 
/* msg =   3256, deg =  6 */   1702,   7716,   9096,  11098,  13705,  13930, 
/* msg =   3257, deg =  6 */   5868,   6785,   8084,  11608,  16820,  17596, 
/* msg =   3258, deg =  6 */   1929,   7949,   9004,  15032,  18006,  19115, 
/* msg =   3259, deg =  6 */     40,   4101,   5692,  11688,  11869,  15631, 
/* msg =   3260, deg =  6 */    564,   7742,   8135,  13987,  18671,  19405, 
/* msg =   3261, deg =  6 */    646,   2442,   2919,  13408,  15811,  19619, 
/* msg =   3262, deg =  6 */   6606,   9876,   9880,  14256,  18089,  19015, 
/* msg =   3263, deg =  6 */   2210,   8230,   8586,  11195,  13839,  16976, 
/* msg =   3264, deg =  6 */    772,   7161,   7706,  11898,  12274,  18472, 
/* msg =   3265, deg =  6 */   5958,   7041,   9238,  12647,  14088,  15779, 
/* msg =   3266, deg =  6 */   3629,   4046,   9907,  10167,  10223,  18342, 
/* msg =   3267, deg =  6 */   1486,   3910,   7062,  12450,  14044,  19598, 
/* msg =   3268, deg =  6 */    518,   9736,   9942,  14659,  18743,  19064, 
/* msg =   3269, deg =  6 */   4931,   7102,   7755,  15569,  17319,  19021, 
/* msg =   3270, deg =  6 */   2749,   7097,   8796,  10941,  11354,  13358, 
/* msg =   3271, deg =  6 */   1045,   3182,   4356,  16076,  16293,  17808, 
/* msg =   3272, deg =  6 */    219,    296,   7757,  10134,  12340,  13460, 
/* msg =   3273, deg =  6 */   2187,   5775,   6940,  10820,  15836,  18044, 
/* msg =   3274, deg =  6 */   1516,   2304,   2314,  12652,  13685,  19415, 
/* msg =   3275, deg =  6 */   1910,   7616,   7654,  11157,  12904,  16758, 
/* msg =   3276, deg =  6 */   4798,   9148,   9640,  17307,  18332,  18996, 
/* msg =   3277, deg =  6 */   5844,   6531,   7387,  11876,  13023,  15320, 
/* msg =   3278, deg =  6 */   3625,   3672,   9468,  11025,  12636,  17188, 
/* msg =   3279, deg =  6 */   2188,   3166,   8862,  13736,  15580,  17121, 
/* msg =   3280, deg =  6 */   1588,   1972,   4180,  12588,  12774,  17952, 
/* msg =   3281, deg =  6 */    316,   1682,   7496,  11064,  18290,  19143, 
/* msg =   3282, deg =  6 */   3412,   6622,   9799,  12428,  15054,  16063, 
/* msg =   3283, deg =  6 */    835,   1017,   1236,  10263,  11761,  13601, 
/* msg =   3284, deg =  6 */   2689,   5704,   5922,  15999,  18168,  18955, 
/* msg =   3285, deg =  6 */   1075,   2429,   9986,  12022,  14629,  16561, 
/* msg =   3286, deg =  6 */   1893,   3861,   7632,  13753,  15188,  19062, 
/* msg =   3287, deg =  6 */   1833,   4131,   4455,  13098,  14919,  18263, 
/* msg =   3288, deg =  6 */     15,   6811,   7287,  15629,  19052,  19638, 
/* msg =   3289, deg =  6 */   5111,   7423,   9637,  15616,  16358,  18553, 
/* msg =   3290, deg =  6 */   1086,   1878,   9348,  10088,  11456,  13806, 
/* msg =   3291, deg =  6 */   1738,   6877,   7555,  10513,  11864,  15551, 
/* msg =   3292, deg =  6 */   6728,   8540,   9128,  13562,  14126,  16148, 
/* msg =   3293, deg =  6 */   2442,   6588,   7656,  10390,  13913,  15606, 
/* msg =   3294, deg =  6 */   5929,   7449,   9157,  11000,  18229,  18443, 
/* msg =   3295, deg =  6 */   1540,   6026,   8142,  10365,  14710,  15354, 
/* msg =   3296, deg =  6 */   4532,   7005,   7587,  10401,  13067,  18170, 
/* msg =   3297, deg =  6 */   1091,   5218,   8203,  10018,  12172,  18063, 
/* msg =   3298, deg =  6 */   4491,   7041,   7254,  14438,  17697,  19184, 
/* msg =   3299, deg =  6 */   2477,   4169,   9042,  16855,  17960,  18563, 
/* msg =   3300, deg =  6 */    568,   7994,   8993,  14619,  16290,  18967, 
/* msg =   3301, deg =  6 */   1087,   1566,   5248,  14249,  17787,  18456, 
/* msg =   3302, deg =  6 */    603,   4843,   4968,  12726,  17639,  17803, 
/* msg =   3303, deg =  6 */    296,   3271,   6594,  11531,  12840,  17094, 
/* msg =   3304, deg =  6 */   1528,   4993,   7274,  12907,  18811,  19918, 
/* msg =   3305, deg =  6 */    149,   5731,   6889,  13104,  16310,  18027, 
/* msg =   3306, deg =  6 */    507,   3030,   5878,  12709,  12905,  13262, 
/* msg =   3307, deg =  6 */   2612,   3729,   6260,  13863,  18274,  18501, 
/* msg =   3308, deg =  6 */   1958,   4009,   5938,  12507,  13734,  17915, 
/* msg =   3309, deg =  6 */    101,    176,   7639,  15154,  15700,  18545, 
/* msg =   3310, deg =  6 */   6228,   7152,   7156,  12830,  14629,  19202, 
/* msg =   3311, deg =  6 */   5796,   8470,   8950,  17701,  18877,  19348, 
/* msg =   3312, deg =  6 */   7793,   8337,   8693,  12978,  16458,  18160, 
/* msg =   3313, deg =  6 */    189,    613,   1475,  10022,  15581,  15838, 
/* msg =   3314, deg =  6 */   7355,   7501,   9845,  12147,  15000,  16190, 
/* msg =   3315, deg =  6 */   1925,   8202,   9471,  11109,  13105,  17065, 
/* msg =   3316, deg =  6 */   3061,   5116,   9714,  10040,  14317,  16717, 
/* msg =   3317, deg =  6 */   3597,   4692,   7221,  10155,  12457,  14180, 
/* msg =   3318, deg =  6 */   6552,   7016,   7186,  11434,  12384,  17065, 
/* msg =   3319, deg =  6 */     11,   8075,   9005,  11308,  13565,  17038, 
/* msg =   3320, deg =  6 */   1134,   6644,   8208,  10715,  13332,  17075, 
/* msg =   3321, deg =  6 */   3577,   4556,   7809,  17443,  17790,  18168, 
/* msg =   3322, deg =  6 */   1731,   2154,   2465,  11848,  13635,  18768, 
/* msg =   3323, deg =  6 */   6214,   7810,   8358,  14631,  15528,  15697, 
/* msg =   3324, deg =  6 */   1489,   2665,   3031,  13854,  13981,  15258, 
/* msg =   3325, deg =  6 */   4219,   7780,   8879,  12747,  15788,  17067, 
/* msg =   3326, deg =  6 */   2152,   5711,   9300,  13910,  15033,  17587, 
/* msg =   3327, deg =  6 */   1389,   3054,   6769,  10489,  13927,  15029, 
/* msg =   3328, deg =  6 */   2462,   4411,   6859,  12906,  13784,  16961, 
/* msg =   3329, deg =  6 */    670,   1042,   6783,  10154,  14849,  15957, 
/* msg =   3330, deg =  6 */   2262,   7825,   8556,  16055,  17437,  19709, 
/* msg =   3331, deg =  6 */   2766,   3962,   5241,  11339,  18178,  18969, 
/* msg =   3332, deg =  6 */   1497,   4821,   8200,  10482,  11304,  18993, 
/* msg =   3333, deg =  6 */   6477,   8384,   9372,  11224,  11284,  19235, 
/* msg =   3334, deg =  6 */    620,   5367,   9599,  10650,  15794,  16368, 
/* msg =   3335, deg =  6 */   6025,   6626,   9479,  11102,  13837,  14875, 
/* msg =   3336, deg =  6 */    810,   5128,   5406,  10372,  12335,  15217, 
/* msg =   3337, deg =  6 */   3916,   7243,   8756,  12326,  13738,  17322, 
/* msg =   3338, deg =  6 */   1083,   5553,   8461,  12164,  13763,  16570, 
/* msg =   3339, deg =  6 */   2195,   5498,   5612,  10343,  16614,  19346, 
/* msg =   3340, deg =  6 */   4595,   5745,   8384,  12495,  14123,  18511, 
/* msg =   3341, deg =  6 */   1683,   2104,   2895,  12895,  16162,  18318, 
/* msg =   3342, deg =  6 */    137,   2595,   9099,  11650,  13368,  19018, 
/* msg =   3343, deg =  6 */   7795,   8021,   8768,  10877,  11029,  12624, 
/* msg =   3344, deg =  6 */   3731,   5635,   6411,  14170,  16489,  16564, 
/* msg =   3345, deg =  6 */   4404,   6701,   9623,  11174,  12718,  19231, 
/* msg =   3346, deg =  6 */   6200,   6600,   9552,  11576,  16277,  17101, 
/* msg =   3347, deg =  6 */   4096,   5780,   8116,  10717,  13377,  19625, 
/* msg =   3348, deg =  6 */    105,    904,   5863,  10570,  11120,  15484, 
/* msg =   3349, deg =  6 */   6324,   7586,   9422,  15016,  15468,  16579, 
/* msg =   3350, deg =  6 */   1458,   1889,   6471,  18591,  19057,  19116, 
/* msg =   3351, deg =  6 */    218,   8315,   8966,  12215,  15201,  18447, 
/* msg =   3352, deg =  6 */   1068,   4252,   7767,  12344,  12555,  17105, 
/* msg =   3353, deg =  6 */   3628,   6963,   8771,  14580,  15791,  15963, 
/* msg =   3354, deg =  6 */    668,   4756,   8675,  11797,  14995,  18762, 
/* msg =   3355, deg =  6 */   8056,   8176,   8555,  10319,  14764,  15166, 
/* msg =   3356, deg =  6 */   5688,   5913,   7383,  10574,  14638,  17198, 
/* msg =   3357, deg =  6 */   5393,   7743,   8024,  10343,  10963,  11410, 
/* msg =   3358, deg =  6 */    323,    910,   2877,  12066,  12942,  15929, 
/* msg =   3359, deg =  6 */   2575,   6884,   8078,  14890,  15447,  19380, 
/* msg =   3360, deg =  6 */   1850,   5529,   6415,  10468,  13241,  19711, 
/* msg =   3361, deg =  6 */    210,   4374,   5062,  15472,  17270,  18945, 
/* msg =   3362, deg =  6 */    615,   7443,   8001,  10699,  14023,  19441, 
/* msg =   3363, deg =  6 */   2842,   3245,   8349,  13852,  17457,  18399, 
/* msg =   3364, deg =  6 */   3777,   5339,   5340,  12240,  17781,  17870, 
/* msg =   3365, deg =  6 */   2375,   5970,   7200,  13328,  14936,  15588, 
/* msg =   3366, deg =  6 */   1789,   3032,   4198,  11722,  15554,  16877, 
/* msg =   3367, deg =  6 */    323,   2799,   6793,  11073,  12277,  17947, 
/* msg =   3368, deg =  6 */   2472,   4885,   6405,  12302,  15969,  19376, 
/* msg =   3369, deg =  6 */   1969,   4128,   5420,  16523,  17291,  19273, 
/* msg =   3370, deg =  6 */   4021,   6602,   9430,  12709,  15107,  15129, 
/* msg =   3371, deg =  6 */   1726,   2808,   9092,  11943,  16899,  18407, 
/* msg =   3372, deg =  6 */    666,   1203,   7566,  11812,  16031,  18825, 
/* msg =   3373, deg =  6 */    618,   5122,   7469,  10625,  11250,  12235, 
/* msg =   3374, deg =  6 */   2380,   4466,   6290,  10021,  15686,  18521, 
/* msg =   3375, deg =  6 */    278,    602,   1315,  10436,  11726,  19550, 
/* msg =   3376, deg =  6 */   1678,   1779,   3856,  11842,  16586,  19929, 
/* msg =   3377, deg =  6 */   5173,   5993,   8644,  17300,  17768,  19046, 
/* msg =   3378, deg =  6 */   1314,   4948,   6295,  10266,  10659,  14028, 
/* msg =   3379, deg =  6 */   1714,   6235,   7853,  11334,  13557,  15142, 
/* msg =   3380, deg =  6 */   8515,   8624,   9177,  17352,  17943,  19437, 
/* msg =   3381, deg =  6 */    620,   4673,   8583,  11295,  14725,  17256, 
/* msg =   3382, deg =  6 */   1397,   1938,   5524,  11125,  11704,  18864, 
/* msg =   3383, deg =  6 */    335,   5497,   7262,  11341,  16644,  18930, 
/* msg =   3384, deg =  6 */    832,   2192,   7791,  10503,  12181,  18180, 
/* msg =   3385, deg =  6 */   3146,   3360,   6150,  12195,  17359,  18806, 
/* msg =   3386, deg =  6 */   6073,   7511,   8913,  10785,  17187,  19181, 
/* msg =   3387, deg =  6 */   3282,   8132,   8142,  10995,  11902,  13667, 
/* msg =   3388, deg =  6 */   1766,   4342,   9793,  12280,  13172,  13236, 
/* msg =   3389, deg =  6 */   5375,   7576,   9690,  10525,  13880,  14548, 
/* msg =   3390, deg =  6 */   1892,   4891,   7387,  10529,  13727,  14007, 
/* msg =   3391, deg =  6 */   1139,   4876,   7561,  17435,  18563,  19135, 
/* msg =   3392, deg =  6 */   2077,   4160,   4879,  11418,  13751,  14935, 
/* msg =   3393, deg =  6 */   6331,   7662,   8331,  10755,  11162,  17845, 
/* msg =   3394, deg =  6 */   1483,   6146,   9625,  11809,  15359,  18792, 
/* msg =   3395, deg =  6 */   3373,   5821,   6494,  13445,  15874,  17650, 
/* msg =   3396, deg =  6 */   3164,   4197,   9126,  13060,  14555,  16126, 
/* msg =   3397, deg =  6 */   3268,   4060,   9920,  10832,  11621,  14080, 
/* msg =   3398, deg =  6 */   2346,   2910,   9348,  14682,  14723,  18546, 
/* msg =   3399, deg =  6 */    831,   7784,   9480,  13973,  13990,  19568, 
/* msg =   3400, deg =  6 */   1864,   3627,   9244,  12050,  15274,  18165, 
/* msg =   3401, deg =  6 */   2423,   7469,   9870,  11889,  14562,  19569, 
/* msg =   3402, deg =  6 */    645,   2022,   7909,  11483,  11665,  13240, 
/* msg =   3403, deg =  6 */    258,   4403,   5135,  14251,  15688,  19312, 
/* msg =   3404, deg =  6 */    963,   6699,   9242,  11835,  12090,  14247, 
/* msg =   3405, deg =  6 */   5736,   5964,   8311,  12159,  18903,  19585, 
/* msg =   3406, deg =  6 */   3220,   5441,   9885,  15934,  18022,  19551, 
/* msg =   3407, deg =  6 */    352,    440,   6779,  10030,  13693,  19771, 
/* msg =   3408, deg =  6 */   1149,   2903,   3913,  10531,  19113,  19447, 
/* msg =   3409, deg =  6 */   4525,   5861,   7280,  13889,  14418,  16944, 
/* msg =   3410, deg =  6 */   6607,   8907,   9622,  10303,  12428,  17287, 
/* msg =   3411, deg =  6 */    326,    973,   2447,  14014,  15510,  15714, 
/* msg =   3412, deg =  6 */   1039,   4709,   9211,  16881,  19282,  19757, 
/* msg =   3413, deg =  6 */   2551,   4751,   8900,  11512,  12137,  16030, 
/* msg =   3414, deg =  6 */   2353,   3155,   7297,  11047,  13966,  18669, 
/* msg =   3415, deg =  6 */   1711,   3403,   5189,  13791,  15803,  19444, 
/* msg =   3416, deg =  6 */   3795,   5133,   8752,  11635,  17835,  19815, 
/* msg =   3417, deg =  6 */   1744,   3587,   8261,  12620,  15299,  18010, 
/* msg =   3418, deg =  6 */   5178,   6590,   8677,  11928,  13180,  18084, 
/* msg =   3419, deg =  6 */   6051,   6987,   8634,  10516,  17199,  19876, 
/* msg =   3420, deg =  6 */   1362,   9036,   9803,  11646,  11892,  14391, 
/* msg =   3421, deg =  6 */    839,   6159,   8863,  11579,  13850,  15140, 
/* msg =   3422, deg =  6 */   2715,   5800,   7337,  11317,  13401,  15783, 
/* msg =   3423, deg =  6 */   4183,   4810,   8998,  11575,  12666,  19028, 
/* msg =   3424, deg =  6 */   1299,   3295,   7119,  10175,  18503,  18559, 
/* msg =   3425, deg =  6 */   5967,   7970,   9114,  13440,  13794,  16241, 
/* msg =   3426, deg =  6 */   1365,   1892,   5654,  10071,  11446,  13003, 
/* msg =   3427, deg =  6 */   4757,   8894,   9263,  10141,  13327,  13401, 
/* msg =   3428, deg =  6 */     95,   3446,   7762,  10156,  12168,  17469, 
/* msg =   3429, deg =  6 */    329,    375,   3475,  11185,  18575,  19748, 
/* msg =   3430, deg =  6 */   2564,   5789,   8661,  15525,  17024,  17933, 
/* msg =   3431, deg =  6 */   2671,   4603,   7090,  12591,  13707,  16812, 
/* msg =   3432, deg =  6 */   3654,   7188,   8936,  14806,  18230,  19045, 
/* msg =   3433, deg =  6 */   3476,   7998,   8183,  10742,  14727,  18311, 
/* msg =   3434, deg =  6 */   1468,   8394,   8958,  14479,  15694,  16269, 
/* msg =   3435, deg =  6 */   1724,   8505,   9239,  10152,  19168,  19860, 
/* msg =   3436, deg =  6 */   1559,   6500,   9725,  12001,  16601,  19645, 
/* msg =   3437, deg =  6 */   1078,   1915,   7849,  13355,  15178,  16653, 
/* msg =   3438, deg =  6 */   8804,   9232,   9738,  13554,  15105,  16569, 
/* msg =   3439, deg =  6 */   1354,   7719,   8699,  11156,  17706,  19755, 
/* msg =   3440, deg =  6 */   3689,   4636,   6020,  15617,  19406,  19845, 
/* msg =   3441, deg =  6 */   1020,   3668,   4571,  13845,  14972,  18961, 
/* msg =   3442, deg =  6 */   1541,   1655,   9497,  13830,  15316,  19582, 
/* msg =   3443, deg =  6 */   2605,   4618,   8850,  13260,  18351,  19923, 
/* msg =   3444, deg =  6 */   7527,   7905,   9994,  11391,  15679,  15708, 
/* msg =   3445, deg =  6 */   1278,   4108,   8736,  10150,  13997,  18944, 
/* msg =   3446, deg =  6 */   3733,   4116,   5873,  11504,  16278,  17391, 
/* msg =   3447, deg =  6 */    215,   1759,   9855,  14003,  17616,  18236, 
/* msg =   3448, deg =  6 */   6550,   8622,   9222,  11720,  16063,  18221, 
/* msg =   3449, deg =  6 */   4236,   6716,   6927,  12300,  17207,  17507, 
/* msg =   3450, deg =  6 */   1578,   4244,   8923,  10049,  17781,  18633, 
/* msg =   3451, deg =  6 */   3347,   6488,   9030,  14667,  16172,  17483, 
/* msg =   3452, deg =  6 */   7011,   7599,   9764,  10638,  14675,  15530, 
/* msg =   3453, deg =  6 */   6770,   8119,   8709,  13080,  14331,  19019, 
/* msg =   3454, deg =  6 */   5805,   6342,   7813,  10551,  11711,  14444, 
/* msg =   3455, deg =  6 */   2777,   6010,   8365,  14696,  15762,  19084, 
/* msg =   3456, deg =  6 */   4212,   5821,   9705,  13054,  13934,  14668, 
/* msg =   3457, deg =  6 */   3435,   7183,   9324,  13435,  15702,  17992, 
/* msg =   3458, deg =  6 */   1688,   2109,   8217,  12296,  13118,  17519, 
/* msg =   3459, deg =  6 */    158,   6117,   6484,  11354,  12042,  15672, 
/* msg =   3460, deg =  6 */   3195,   6136,   6772,  15355,  16009,  18951, 
/* msg =   3461, deg =  6 */     26,   2276,   5599,  11743,  12603,  14810, 
/* msg =   3462, deg =  6 */   1544,   3947,   7248,  10118,  10539,  12700, 
/* msg =   3463, deg =  6 */    901,   4422,   5297,  12175,  13925,  17046, 
/* msg =   3464, deg =  6 */   2697,   5877,   6445,  10133,  17969,  19925, 
/* msg =   3465, deg =  6 */   4883,   7421,   8615,  10904,  14761,  19428, 
/* msg =   3466, deg =  6 */   7967,   9046,   9914,  11613,  12789,  18715, 
/* msg =   3467, deg =  6 */    426,   6110,   7247,  11526,  14039,  14838, 
/* msg =   3468, deg =  6 */   1923,   3359,   5217,  15592,  16772,  16818, 
/* msg =   3469, deg =  6 */   1062,   7628,   7761,  12453,  16030,  17338, 
/* msg =   3470, deg =  6 */   3638,   4084,   8239,  14642,  14727,  15236, 
/* msg =   3471, deg =  6 */   3509,   7412,   9523,  10352,  13319,  14062, 
/* msg =   3472, deg =  6 */   1297,   5355,   7715,  11332,  16867,  17605, 
/* msg =   3473, deg =  6 */    644,   4607,   6679,  12206,  14647,  16222, 
/* msg =   3474, deg =  6 */   5056,   6733,   9531,  10791,  14876,  16211, 
/* msg =   3475, deg =  6 */    642,   6133,   9466,  13518,  13966,  19866, 
/* msg =   3476, deg =  6 */   2431,   3324,   9840,  10009,  18100,  19678, 
/* msg =   3477, deg =  6 */   1437,   7200,   9961,  12455,  16745,  18092, 
/* msg =   3478, deg =  6 */   3437,   8406,   8442,  11076,  12321,  18492, 
/* msg =   3479, deg =  6 */   3969,   7045,   7537,  15293,  15912,  18798, 
/* msg =   3480, deg =  6 */   5899,   8448,   9597,  11074,  11756,  14889, 
/* msg =   3481, deg =  6 */   1499,   2743,   5767,  14700,  15149,  16842, 
/* msg =   3482, deg =  6 */   1426,   4438,   9072,  10844,  13672,  15178, 
/* msg =   3483, deg =  6 */   5306,   7238,   9756,  10896,  13349,  14630, 
/* msg =   3484, deg =  6 */    124,   3051,   7855,  11681,  15398,  18372, 
/* msg =   3485, deg =  6 */    734,   6098,   7793,  11785,  12937,  13429, 
/* msg =   3486, deg =  6 */    319,   5083,   7701,  10873,  13316,  16785, 
/* msg =   3487, deg =  6 */    724,   7837,   8074,  12816,  14511,  16140, 
/* msg =   3488, deg =  6 */   2316,   4245,   6003,  10230,  16645,  18439, 
/* msg =   3489, deg =  6 */   2232,   2859,   9009,  10227,  14625,  19427, 
/* msg =   3490, deg =  6 */   1099,   3167,   7734,  12319,  15997,  16486, 
/* msg =   3491, deg =  6 */   6443,   7349,   9308,  10599,  14554,  17849, 
/* msg =   3492, deg =  6 */   3130,   3558,   7086,  18594,  18908,  18976, 
/* msg =   3493, deg =  6 */   5134,   6696,   8982,  10677,  13504,  15737, 
/* msg =   3494, deg =  6 */    108,    517,   3971,  12609,  14110,  15829, 
/* msg =   3495, deg =  6 */   3336,   8095,   9471,  10218,  13830,  18308, 
/* msg =   3496, deg =  6 */   1040,   6973,   7404,  14793,  16149,  16201, 
/* msg =   3497, deg =  6 */   5423,   8032,   8761,  14413,  16131,  17157, 
/* msg =   3498, deg =  6 */    420,   2591,   6633,  17047,  17535,  19463, 
/* msg =   3499, deg =  6 */   2256,   2873,   3504,  10109,  12056,  12777, 
/* msg =   3500, deg =  6 */     93,   4756,   8538,  11710,  12746,  13568, 
/* msg =   3501, deg =  6 */    844,   2128,   3484,  14083,  16467,  16850, 
/* msg =   3502, deg =  6 */   1445,   2908,   9316,  14778,  16040,  19739, 
/* msg =   3503, deg =  6 */   2635,   6266,   9404,  14223,  15762,  17068, 
/* msg =   3504, deg =  6 */   2301,   2814,   8241,  10741,  11779,  14255, 
/* msg =   3505, deg =  6 */   3520,   8231,   8918,  12796,  14169,  19441, 
/* msg =   3506, deg =  6 */   3132,   5205,   5792,  15845,  17087,  19628, 
/* msg =   3507, deg =  6 */    709,   8671,   9617,  10161,  13480,  13777, 
/* msg =   3508, deg =  6 */    936,   4850,   6885,  10547,  10900,  19040, 
/* msg =   3509, deg =  6 */   3969,   7984,   9793,  11769,  12815,  16620, 
/* msg =   3510, deg =  6 */   6044,   7244,   8509,  12116,  12998,  13089, 
/* msg =   3511, deg =  6 */   1991,   4918,   5919,  10535,  11687,  15491, 
/* msg =   3512, deg =  6 */    228,   2447,   4390,  10237,  12720,  13320, 
/* msg =   3513, deg =  6 */   2187,   2402,   4362,  15060,  15330,  18929, 
/* msg =   3514, deg =  6 */    670,   4255,   9405,  12812,  13784,  14289, 
/* msg =   3515, deg =  6 */   4410,   6054,   6788,  10841,  15124,  19188, 
/* msg =   3516, deg =  6 */   2682,   3809,   9415,  14698,  17877,  19252, 
/* msg =   3517, deg =  6 */    743,   1143,   3699,  10601,  11664,  15489, 
/* msg =   3518, deg =  6 */    866,   4049,   7495,  11050,  16111,  18574, 
/* msg =   3519, deg =  6 */    520,   2282,   7462,  11829,  12075,  13335, 
/* msg =   3520, deg =  6 */     81,   3072,   8490,  15555,  17904,  19421, 
/* msg =   3521, deg =  6 */   6278,   6947,   9502,  13699,  16972,  17724, 
/* msg =   3522, deg =  6 */   1225,   3065,   6940,  11226,  15025,  16160, 
/* msg =   3523, deg =  6 */   2698,   3143,   5882,  10090,  10729,  17416, 
/* msg =   3524, deg =  6 */   6273,   7730,   7953,  12735,  15268,  19930, 
/* msg =   3525, deg =  6 */    504,   5201,   5788,  13390,  16015,  17178, 
/* msg =   3526, deg =  6 */   1831,   2056,   7348,  10537,  10580,  12412, 
/* msg =   3527, deg =  6 */   4394,   4498,   4618,  10359,  12932,  19244, 
/* msg =   3528, deg =  6 */   1620,   2350,   4115,  16420,  16938,  19086, 
/* msg =   3529, deg =  6 */    606,   3225,   8669,  13098,  15694,  17001, 
/* msg =   3530, deg =  6 */     44,   4308,   7661,  12693,  14336,  15215, 
/* msg =   3531, deg =  6 */   4747,   4788,   8701,  16635,  17139,  18957, 
/* msg =   3532, deg =  6 */   1984,   3005,   9276,  12930,  14819,  17200, 
/* msg =   3533, deg =  6 */   1400,   1512,   2564,  10429,  14066,  14092, 
/* msg =   3534, deg =  6 */   3858,   6375,   9245,  14117,  16840,  17162, 
/* msg =   3535, deg =  6 */   1327,   2951,   8143,  11823,  19672,  19990, 
/* msg =   3536, deg =  6 */   2627,   6598,   6737,  11713,  14507,  16214, 
/* msg =   3537, deg =  6 */   7197,   7640,   8148,  13296,  14211,  16401, 
/* msg =   3538, deg =  6 */   2848,   6599,   6896,  13407,  15622,  17412, 
/* msg =   3539, deg =  6 */   4820,   5337,   5607,  10679,  12582,  16519, 
/* msg =   3540, deg =  6 */   2140,   6110,   8874,  14513,  18857,  19545, 
/* msg =   3541, deg =  6 */    408,    656,   3873,  11244,  15710,  18356, 
/* msg =   3542, deg =  6 */   2864,   5085,   8680,  10806,  12373,  18402, 
/* msg =   3543, deg =  6 */   1359,   1642,   2027,  11244,  15459,  18025, 
/* msg =   3544, deg =  6 */    458,   3758,   4551,  14270,  16225,  16495, 
/* msg =   3545, deg =  6 */   3674,   4811,   9604,  11223,  12993,  16578, 
/* msg =   3546, deg =  6 */   4869,   5419,   8177,  13958,  16454,  17351, 
/* msg =   3547, deg =  6 */   2267,   2992,   9104,  10610,  16200,  19257, 
/* msg =   3548, deg =  6 */   7177,   7954,   9524,  11022,  11874,  14106, 
/* msg =   3549, deg =  6 */    940,   2769,   3328,  17566,  18516,  19053, 
/* msg =   3550, deg =  6 */    924,   4320,   8855,  12810,  14717,  17834, 
/* msg =   3551, deg =  6 */    340,    510,   7363,  11048,  16998,  17494, 
/* msg =   3552, deg =  6 */   2251,   4095,   4689,  13865,  16674,  17016, 
/* msg =   3553, deg =  6 */   2272,   5765,   8193,  11575,  18120,  18532, 
/* msg =   3554, deg =  6 */    412,   2201,   3215,  10686,  12724,  16022, 
/* msg =   3555, deg =  6 */   5203,   5824,   8187,  15723,  18742,  19801, 
/* msg =   3556, deg =  6 */   1430,   3161,   6692,  17071,  18683,  19134, 
/* msg =   3557, deg =  6 */   3175,   7342,   9882,  12477,  12706,  18316, 
/* msg =   3558, deg =  6 */    822,   2308,   4114,  13437,  14473,  17879, 
/* msg =   3559, deg =  6 */   3968,   8807,   9055,  10940,  15521,  18639, 
/* msg =   3560, deg =  6 */   3113,   4123,   7891,  11279,  14804,  15683, 
/* msg =   3561, deg =  6 */   1444,   3521,   3535,  15588,  17198,  18465, 
/* msg =   3562, deg =  6 */   2198,   5640,   6430,  14200,  16479,  17122, 
/* msg =   3563, deg =  6 */   3721,   5384,   8659,  13154,  14426,  17684, 
/* msg =   3564, deg =  6 */    574,   2610,   6623,  11293,  14508,  16144, 
/* msg =   3565, deg =  6 */   4387,   7359,   9004,  10046,  15030,  16152, 
/* msg =   3566, deg =  6 */   3150,   8902,   9728,  13831,  16995,  18814, 
/* msg =   3567, deg =  6 */   3246,   6418,   8447,  13153,  15006,  15795, 
/* msg =   3568, deg =  6 */     58,   5618,   5733,  16311,  17479,  17952, 
/* msg =   3569, deg =  6 */   3802,   4530,   7711,  10380,  14244,  17798, 
/* msg =   3570, deg =  6 */   2286,   6057,   6671,  10274,  10481,  17969, 
/* msg =   3571, deg =  6 */   1261,   4471,   8787,  12421,  15045,  17401, 
/* msg =   3572, deg =  6 */   1722,   3748,   4388,  11383,  12345,  18505, 
/* msg =   3573, deg =  6 */   1089,   2518,   3779,  10027,  13921,  18403, 
/* msg =   3574, deg =  6 */   1256,   7055,   9506,  11879,  17571,  18897, 
/* msg =   3575, deg =  6 */   1776,   2815,   5324,  11882,  12015,  19313, 
/* msg =   3576, deg =  6 */    304,   1519,   8259,  15130,  17553,  17949, 
/* msg =   3577, deg =  6 */   1661,   6225,   9095,  11396,  12302,  13581, 
/* msg =   3578, deg =  6 */    711,   1141,   7073,  13122,  14114,  15886, 
/* msg =   3579, deg =  6 */   6446,   7476,   9400,  10245,  12254,  14644, 
/* msg =   3580, deg =  6 */   5038,   5222,   8664,  10217,  10355,  10558, 
/* msg =   3581, deg =  6 */    114,   2386,   7812,  13812,  17082,  19710, 
/* msg =   3582, deg =  6 */     40,   4660,   4855,  11142,  17200,  19979, 
/* msg =   3583, deg =  6 */    572,   1464,   7725,  14585,  14692,  15719, 
/* msg =   3584, deg =  6 */   5893,   7451,   7470,  10988,  15757,  18339, 
/* msg =   3585, deg =  6 */   2195,   4331,   6931,  11188,  14230,  16957, 
/* msg =   3586, deg =  6 */   2213,   3926,   6863,  10516,  13070,  14506, 
/* msg =   3587, deg =  6 */    480,   2683,   9286,  11531,  17875,  19568, 
/* msg =   3588, deg =  6 */    921,   5495,   6067,  14519,  17604,  17966, 
/* msg =   3589, deg =  6 */   2548,   4353,   7862,  12961,  14585,  14831, 
/* msg =   3590, deg =  6 */   5442,   5577,   6211,  11680,  15747,  16830, 
/* msg =   3591, deg =  6 */   2339,   3134,   8266,  10287,  11133,  16153, 
/* msg =   3592, deg =  6 */   4703,   8223,   9594,  10175,  11059,  17158, 
/* msg =   3593, deg =  6 */   1324,   5427,   5985,  12283,  12321,  17486, 
/* msg =   3594, deg =  6 */    857,   2107,   3427,  11580,  18777,  19228, 
/* msg =   3595, deg =  6 */   2715,   4531,   6257,  10681,  17159,  19338, 
/* msg =   3596, deg =  6 */   4579,   8886,   9914,  13322,  15478,  18774, 
/* msg =   3597, deg =  6 */   1204,   3648,   4683,  10497,  13369,  18988, 
/* msg =   3598, deg =  6 */   1908,   6679,   7754,  11630,  14540,  19099, 
/* msg =   3599, deg =  6 */   2043,   3352,   5290,  10652,  16381,  16712, 
/* msg =   3600, deg =  6 */   5213,   5962,   9258,  12492,  14531,  18646, 
/* msg =   3601, deg =  6 */   4837,   5589,   6435,  10872,  11070,  18215, 
/* msg =   3602, deg =  6 */    962,   4599,   4938,  15648,  18030,  19019, 
/* msg =   3603, deg =  6 */   1096,   1666,   4127,  11877,  14243,  18840, 
/* msg =   3604, deg =  6 */   1353,   1542,   2028,  11360,  15019,  16239, 
/* msg =   3605, deg =  6 */    747,   1669,   1679,  10584,  11049,  12064, 
/* msg =   3606, deg =  6 */    153,   5974,   7902,  10750,  13937,  15875, 
/* msg =   3607, deg =  6 */   3247,   9536,   9679,  10481,  10995,  11958, 
/* msg =   3608, deg =  6 */   2325,   3615,   3692,  13930,  16305,  19588, 
/* msg =   3609, deg =  6 */   3366,   5046,   7453,  11726,  14166,  14786, 
/* msg =   3610, deg =  6 */    299,   5724,   6954,  10160,  12346,  14938, 
/* msg =   3611, deg =  6 */   1080,   9408,   9565,  11843,  14630,  19567, 
/* msg =   3612, deg =  6 */   5959,   6946,   8600,  10736,  14078,  15006, 
/* msg =   3613, deg =  6 */   4288,   8789,   9067,  10410,  13915,  15240, 
/* msg =   3614, deg =  6 */   2463,   5638,   9948,  11009,  11297,  12825, 
/* msg =   3615, deg =  6 */   2775,   3659,   4951,  15292,  16798,  19163, 
/* msg =   3616, deg =  6 */    447,   5163,   6880,  10697,  12775,  12776, 
/* msg =   3617, deg =  6 */   1726,   2255,   3666,  10893,  12687,  13612, 
/* msg =   3618, deg =  6 */   2311,   7936,   8967,  10998,  13757,  18002, 
/* msg =   3619, deg =  6 */    579,   8721,   9576,  14425,  15008,  17365, 
/* msg =   3620, deg =  6 */   1326,   2858,   6851,  12007,  14204,  14965, 
/* msg =   3621, deg =  6 */    131,   9028,   9343,  13244,  16455,  17671, 
/* msg =   3622, deg =  6 */    111,   3412,   9353,  10006,  16979,  17940, 
/* msg =   3623, deg =  6 */   1303,   6162,   8841,  11878,  13587,  16829, 
/* msg =   3624, deg =  6 */   5873,   6499,   7572,  11562,  14557,  16855, 
/* msg =   3625, deg =  6 */   4658,   5411,   5952,  12207,  16646,  19171, 
/* msg =   3626, deg =  6 */   3628,   4791,   5086,  13863,  14396,  18491, 
/* msg =   3627, deg =  6 */    514,   1358,   6595,  13517,  14973,  15671, 
/* msg =   3628, deg =  6 */   4027,   5297,   5600,  10383,  10815,  11929, 
/* msg =   3629, deg =  6 */    129,   1910,   3111,  12139,  16159,  19867, 
/* msg =   3630, deg =  6 */    911,   1477,   3676,  10025,  12533,  18937, 
/* msg =   3631, deg =  6 */    658,   7875,   8703,  12994,  13741,  14797, 
/* msg =   3632, deg =  6 */   3696,   6510,   8058,  10618,  13710,  15675, 
/* msg =   3633, deg =  6 */   2943,   4333,   5492,  12794,  12947,  14032, 
/* msg =   3634, deg =  6 */   2192,   4877,   7648,  10583,  14276,  17495, 
/* msg =   3635, deg =  6 */   2364,   5044,   9889,  14107,  17142,  17581, 
/* msg =   3636, deg =  6 */   1412,   2786,   6246,  16393,  18047,  19615, 
/* msg =   3637, deg =  6 */   4146,   6457,   9777,  12638,  13712,  19977, 
/* msg =   3638, deg =  6 */   3280,   6682,   8431,  12315,  13813,  17536, 
/* msg =   3639, deg =  6 */    453,   5734,   9628,  12585,  15048,  15267, 
/* msg =   3640, deg =  6 */    436,   4700,   8647,  10062,  13020,  13872, 
/* msg =   3641, deg =  6 */   2340,   3249,   9309,  11803,  14576,  17844, 
/* msg =   3642, deg =  6 */    831,   1616,   4268,  16754,  19525,  19546, 
/* msg =   3643, deg =  6 */   2499,   7915,   8716,  11113,  14776,  15839, 
/* msg =   3644, deg =  6 */   2804,   6969,   7915,  15350,  16729,  18994, 
/* msg =   3645, deg =  6 */   1174,   2618,   6702,  13371,  13988,  14474, 
/* msg =   3646, deg =  6 */   1806,   3738,   6140,  17903,  18233,  19575, 
/* msg =   3647, deg =  6 */   5428,   6219,   8529,  10028,  13845,  15593, 
/* msg =   3648, deg =  6 */    485,   7928,   8881,  11436,  14500,  15881, 
/* msg =   3649, deg =  6 */   3489,   4667,   7353,  10433,  10611,  11186, 
/* msg =   3650, deg =  6 */    675,   2697,   3663,  10238,  15998,  19061, 
/* msg =   3651, deg =  6 */   4479,   7851,   8252,  11859,  16041,  19740, 
/* msg =   3652, deg =  6 */     42,    777,   1603,  11388,  16635,  19845, 
/* msg =   3653, deg =  6 */   1140,   3046,   7573,  14771,  15343,  16869, 
/* msg =   3654, deg =  6 */   1378,   5405,   7485,  11083,  13217,  14640, 
/* msg =   3655, deg =  6 */   2528,   7307,   7792,  12973,  15404,  17800, 
/* msg =   3656, deg =  6 */    641,   4154,   9100,  13057,  16038,  18794, 
/* msg =   3657, deg =  6 */    403,   2461,   8223,  10741,  11108,  19576, 
/* msg =   3658, deg =  6 */   5301,   7495,   9867,  10388,  13462,  17445, 
/* msg =   3659, deg =  6 */   3682,   5634,   6711,  13658,  16102,  19742, 
/* msg =   3660, deg =  6 */   2050,   4155,   7877,  11698,  17630,  18223, 
/* msg =   3661, deg =  6 */   4007,   8354,   8367,  13009,  15243,  16923, 
/* msg =   3662, deg =  6 */   3457,   3595,   5551,  13464,  15045,  19364, 
/* msg =   3663, deg =  6 */   4923,   8254,   9481,  10092,  14834,  18756, 
/* msg =   3664, deg =  6 */   4905,   5274,   6860,  15829,  17024,  18850, 
/* msg =   3665, deg =  6 */    874,   1410,   6662,  10714,  10933,  17460, 
/* msg =   3666, deg =  6 */   2691,   4254,   9527,  12016,  12837,  15029, 
/* msg =   3667, deg =  6 */   3182,   7064,   9199,  10368,  16107,  17136, 
/* msg =   3668, deg =  6 */    466,   4920,   8556,  13513,  14539,  14758, 
/* msg =   3669, deg =  6 */   3378,   7496,   8043,  10725,  13499,  16184, 
/* msg =   3670, deg =  6 */    681,   4259,   7398,  12317,  12650,  16720, 
/* msg =   3671, deg =  6 */   5905,   7683,   8672,  10199,  10494,  11801, 
/* msg =   3672, deg =  6 */   5090,   7203,   8373,  16822,  18464,  19515, 
/* msg =   3673, deg =  6 */   3374,   8619,   9656,  13539,  13985,  14588, 
/* msg =   3674, deg =  6 */   5182,   5871,   7108,  11538,  14236,  17660, 
/* msg =   3675, deg =  6 */   5666,   6399,   6533,  13218,  19064,  19735, 
/* msg =   3676, deg =  6 */    482,   1267,   2562,  11791,  16316,  16829, 
/* msg =   3677, deg =  6 */   2326,   6976,   9642,  13019,  15560,  15858, 
/* msg =   3678, deg =  6 */    925,   4645,   6538,  17343,  18299,  19814, 
/* msg =   3679, deg =  6 */     51,   8006,   9236,  10619,  12499,  14379, 
/* msg =   3680, deg =  6 */   2392,   6032,   7640,  10435,  17364,  17570, 
/* msg =   3681, deg =  6 */    318,   5362,   5399,  15186,  16863,  17765, 
/* msg =   3682, deg =  6 */      9,   3760,   7923,  17090,  18162,  18634, 
/* msg =   3683, deg =  6 */   3769,   6329,   7602,  11757,  13362,  17605, 
/* msg =   3684, deg =  6 */   5129,   5305,   6634,  10809,  11164,  16005, 
/* msg =   3685, deg =  6 */   3028,   3062,   9564,  13564,  13610,  16046, 
/* msg =   3686, deg =  6 */    990,   8604,   8754,  16770,  17728,  19144, 
/* msg =   3687, deg =  6 */   3934,   5093,   8400,  12059,  13291,  14881, 
/* msg =   3688, deg =  6 */   1175,   2186,   6954,  13178,  13779,  17544, 
/* msg =   3689, deg =  6 */    347,   4520,   8828,  11088,  14486,  15540, 
/* msg =   3690, deg =  6 */    551,   1866,   5989,  10207,  14432,  19818, 
/* msg =   3691, deg =  6 */   1758,   3263,   5567,  10706,  16272,  19301, 
/* msg =   3692, deg =  6 */   1228,   1618,   6928,  15499,  15901,  15910, 
/* msg =   3693, deg =  6 */   3485,   5764,   8059,  11730,  13874,  14927, 
/* msg =   3694, deg =  6 */   1423,   6950,   7483,  11311,  12333,  17547, 
/* msg =   3695, deg =  6 */   4250,   4334,   9303,  13501,  17191,  19831, 
/* msg =   3696, deg =  6 */   2319,   7984,   9687,  15764,  16246,  19179, 
/* msg =   3697, deg =  6 */   4761,   5695,   6883,  15772,  17652,  18771, 
/* msg =   3698, deg =  6 */    160,   5298,   6826,  10013,  11777,  12677, 
/* msg =   3699, deg =  6 */   2446,   5756,   8936,  18388,  18644,  19747, 
/* msg =   3700, deg =  6 */    722,   6517,   6609,  11064,  13864,  15084, 
/* msg =   3701, deg =  6 */   4063,   5370,   6699,  15158,  15165,  16931, 
/* msg =   3702, deg =  6 */    756,   1740,   8201,  16515,  18603,  19198, 
/* msg =   3703, deg =  6 */   1239,   2349,   2853,  12439,  13957,  17106, 
/* msg =   3704, deg =  6 */    981,   3671,   4475,  16812,  19003,  19936, 
/* msg =   3705, deg =  6 */   4331,   6885,   8859,  10794,  11513,  13567, 
/* msg =   3706, deg =  6 */   2470,   8421,   8878,  11226,  11714,  16647, 
/* msg =   3707, deg =  6 */   3149,   4120,   9181,  10084,  13171,  14905, 
/* msg =   3708, deg =  6 */   3460,   4102,   6902,  10673,  11811,  18345, 
/* msg =   3709, deg =  6 */    221,    794,   1862,  11392,  12186,  16227, 
/* msg =   3710, deg =  6 */    851,   2580,   7842,  10461,  13482,  15217, 
/* msg =   3711, deg =  6 */   2594,   6859,   7021,  12912,  13445,  16883, 
/* msg =   3712, deg =  6 */    762,   4289,   8454,  10406,  13823,  15852, 
/* msg =   3713, deg =  6 */   4073,   4605,   6182,  15385,  16124,  16958, 
/* msg =   3714, deg =  6 */   1446,   3261,   8871,  10466,  13760,  17614, 
/* msg =   3715, deg =  6 */   3292,   7235,   9308,  15626,  16806,  18144, 
/* msg =   3716, deg =  6 */   6756,   8621,   9759,  11334,  11495,  15180, 
/* msg =   3717, deg =  6 */   5122,   6476,   9741,  10754,  16151,  16775, 
/* msg =   3718, deg =  6 */   2134,   4788,   8106,  10590,  13636,  18273, 
/* msg =   3719, deg =  6 */    838,    978,   4539,  13254,  17971,  18440, 
/* msg =   3720, deg =  6 */   1462,   4587,   5217,  11645,  12715,  17972, 
/* msg =   3721, deg =  6 */   7712,   8435,   9151,  11510,  12922,  16881, 
/* msg =   3722, deg =  6 */   1762,   3997,   8868,  10947,  11838,  12279, 
/* msg =   3723, deg =  6 */   1194,   4197,   7360,  10087,  14930,  15484, 
/* msg =   3724, deg =  6 */    858,   2029,   4756,  10203,  10283,  16452, 
/* msg =   3725, deg =  6 */   1220,   4112,   6239,  13682,  15359,  19641, 
/* msg =   3726, deg =  6 */      5,   6759,   7738,  16323,  19457,  19935, 
/* msg =   3727, deg =  6 */    817,   1140,   5741,  11345,  15221,  18817, 
/* msg =   3728, deg =  6 */   1580,   7249,   8623,  11145,  18496,  18892, 
/* msg =   3729, deg =  6 */    924,   3832,   3847,  10007,  17899,  18808, 
/* msg =   3730, deg =  6 */   1176,   5228,   5370,  11983,  14310,  15116, 
/* msg =   3731, deg =  6 */   6913,   7162,   9622,  10361,  15038,  19244, 
/* msg =   3732, deg =  6 */   1369,   6371,   7717,  12462,  12643,  18138, 
/* msg =   3733, deg =  6 */   2184,   3630,   7768,  16790,  17330,  18405, 
/* msg =   3734, deg =  6 */     96,   1050,   2539,  13362,  14471,  17541, 
/* msg =   3735, deg =  6 */   3468,   8328,   9565,  10758,  13999,  19557, 
/* msg =   3736, deg =  6 */    341,   4612,   4684,  14948,  15182,  15529, 
/* msg =   3737, deg =  6 */   2120,   4507,   5510,  14286,  15227,  18944, 
/* msg =   3738, deg =  6 */   2465,   5683,   9075,  13016,  15509,  19307, 
/* msg =   3739, deg =  6 */    267,   1167,   7965,  11760,  13996,  15218, 
/* msg =   3740, deg =  6 */    924,   7364,   9908,  12192,  13186,  16932, 
/* msg =   3741, deg =  6 */   1242,   3773,   8156,  10811,  18142,  19791, 
/* msg =   3742, deg =  6 */   2278,   6237,   8250,  11782,  13711,  15295, 
/* msg =   3743, deg =  6 */   6366,   8628,   9826,  10105,  14954,  15717, 
/* msg =   3744, deg =  6 */   3351,   3809,   5356,  10328,  17917,  18587, 
/* msg =   3745, deg =  6 */   1586,   2277,   5924,  12012,  12535,  13149, 
/* msg =   3746, deg =  6 */   2315,   2611,   6841,  15716,  15931,  17894, 
/* msg =   3747, deg =  6 */   5705,   6465,   9334,  14809,  15831,  19868, 
/* msg =   3748, deg =  6 */   2637,   7279,   8609,  12727,  14194,  19508, 
/* msg =   3749, deg =  6 */    597,   1030,   5566,  12845,  13213,  16647, 
/* msg =   3750, deg =  6 */   4139,   6423,   9287,  13426,  18142,  18172, 
/* msg =   3751, deg =  6 */    856,   7203,   9873,  11798,  18589,  19732, 
/* msg =   3752, deg =  6 */   3787,   5107,   6912,  11106,  12249,  13332, 
/* msg =   3753, deg =  6 */   1038,   3175,   6030,  10120,  12396,  15623, 
/* msg =   3754, deg =  6 */   2085,   3365,   6111,  10444,  15230,  18756, 
/* msg =   3755, deg =  6 */   2286,   3651,   5135,  10717,  14865,  19059, 
/* msg =   3756, deg =  6 */   1238,   1438,   9281,  14372,  18053,  18187, 
/* msg =   3757, deg =  6 */   4979,   7212,   9402,  16746,  17230,  19773, 
/* msg =   3758, deg =  6 */   1895,   4420,   9494,  13616,  14573,  17926, 
/* msg =   3759, deg =  6 */   1001,   4707,   8996,  11609,  15043,  19658, 
/* msg =   3760, deg =  6 */   1210,   1539,   7758,  10629,  14088,  19946, 
/* msg =   3761, deg =  6 */    241,    451,   4727,  11367,  14863,  17311, 
/* msg =   3762, deg =  6 */   1739,   6474,   7443,  10214,  10942,  16003, 
/* msg =   3763, deg =  6 */   1787,   3334,   6103,  15008,  16147,  19820, 
/* msg =   3764, deg =  6 */   1966,   3862,   9461,  11118,  11914,  12582, 
/* msg =   3765, deg =  6 */   3514,   4576,   6688,  14129,  14235,  16947, 
/* msg =   3766, deg =  6 */    212,   2356,   5874,  11631,  18662,  18825, 
/* msg =   3767, deg =  6 */   3532,   7272,   7917,  12783,  16631,  16971, 
/* msg =   3768, deg =  6 */   5753,   6686,   9858,  15319,  15324,  18523, 
/* msg =   3769, deg =  6 */    994,   6456,   7652,  12267,  14271,  15723, 
/* msg =   3770, deg =  6 */   2316,   5150,   8451,  15249,  19333,  19622, 
/* msg =   3771, deg =  6 */   1375,   4180,   8838,  13971,  16820,  17508, 
/* msg =   3772, deg =  6 */   3598,   5660,   8643,  11738,  15841,  17354, 
/* msg =   3773, deg =  6 */    662,   6005,   8051,  14649,  14829,  17622, 
/* msg =   3774, deg =  6 */   1509,   2201,   4493,  14341,  16386,  18538, 
/* msg =   3775, deg =  6 */    411,   5095,   7637,  10115,  19457,  19585, 
/* msg =   3776, deg =  6 */    804,   2479,   3060,  11409,  12337,  18973, 
/* msg =   3777, deg =  6 */   1340,   4173,   9874,  10964,  12676,  15937, 
/* msg =   3778, deg =  6 */   4986,   6454,   6989,  11127,  12583,  13038, 
/* msg =   3779, deg =  6 */   4198,   7571,   7649,  10596,  13833,  15412, 
/* msg =   3780, deg =  6 */   6381,   8553,   8810,  14990,  17243,  18118, 
/* msg =   3781, deg =  6 */   1785,   4978,   5882,  15504,  18371,  19451, 
/* msg =   3782, deg =  6 */   1525,   1584,   9538,  13200,  14952,  16249, 
/* msg =   3783, deg =  6 */    716,   3339,   7396,  12952,  14378,  18947, 
/* msg =   3784, deg =  6 */   3905,   7327,   7709,  11442,  13396,  19612, 
/* msg =   3785, deg =  6 */   1027,   1254,   5488,  15821,  16759,  19935, 
/* msg =   3786, deg =  6 */    980,   6327,   6476,  12035,  16168,  19108, 
/* msg =   3787, deg =  6 */   4272,   4955,   7259,  10206,  13639,  19729, 
/* msg =   3788, deg =  6 */    615,   7829,   9629,  17308,  17837,  18758, 
/* msg =   3789, deg =  6 */    163,   2293,   6674,  12275,  12859,  16956, 
/* msg =   3790, deg =  6 */   4776,   5766,   6731,  10550,  13164,  19015, 
/* msg =   3791, deg =  6 */   1449,   3857,   9546,  10598,  14543,  16496, 
/* msg =   3792, deg =  6 */   1421,   1468,   4906,  10985,  15139,  19258, 
/* msg =   3793, deg =  6 */    392,   3778,   7544,  13261,  14401,  14806, 
/* msg =   3794, deg =  6 */   2324,   4481,   9498,  12379,  17865,  18819, 
/* msg =   3795, deg =  6 */   3062,   3810,   4151,  10645,  17968,  18535, 
/* msg =   3796, deg =  6 */   7118,   7333,   9052,  14334,  15944,  18592, 
/* msg =   3797, deg =  6 */   1259,   5148,   9002,  15545,  19274,  19723, 
/* msg =   3798, deg =  6 */   3603,   6550,   6809,  12439,  12938,  17665, 
/* msg =   3799, deg =  6 */   4122,   5752,   8869,  12535,  17156,  18570, 
/* msg =   3800, deg =  6 */   2018,   6059,   7285,  11301,  18924,  19409, 
/* msg =   3801, deg =  6 */   3237,   3635,   5519,  10251,  11013,  11716, 
/* msg =   3802, deg =  6 */   1144,   7290,   8575,  12803,  17431,  17758, 
/* msg =   3803, deg =  6 */   4224,   7490,   7643,  11710,  16995,  19246, 
/* msg =   3804, deg =  6 */    406,    510,   7548,  16822,  17621,  18675, 
/* msg =   3805, deg =  6 */   4222,   4518,   7362,  11130,  15448,  15695, 
/* msg =   3806, deg =  6 */    731,    812,   6128,  10777,  11752,  17517, 
/* msg =   3807, deg =  6 */   3729,   5922,   7523,  12818,  15357,  17533, 
/* msg =   3808, deg =  6 */   5258,   7078,   7741,  12473,  16161,  18883, 
/* msg =   3809, deg =  6 */   4384,   7523,   9233,  14432,  17327,  18024, 
/* msg =   3810, deg =  6 */   4822,   8295,   9414,  10135,  17003,  17709, 
/* msg =   3811, deg =  6 */   1750,   7294,   7556,  12084,  16924,  17922, 
/* msg =   3812, deg =  6 */   2389,   3370,   7693,  12645,  14434,  19465, 
/* msg =   3813, deg =  6 */   2823,   9261,   9892,  11106,  15113,  19787, 
/* msg =   3814, deg =  6 */   2918,   4736,   7460,  14267,  16510,  18538, 
/* msg =   3815, deg =  6 */    664,   6717,   7497,  10070,  15066,  19410, 
/* msg =   3816, deg =  6 */   1981,   5768,   6195,  16891,  17659,  18508, 
/* msg =   3817, deg =  6 */   4782,   6065,   7339,  10612,  11448,  19641, 
/* msg =   3818, deg =  6 */   4860,   5796,   9078,  11798,  17494,  17636, 
/* msg =   3819, deg =  6 */    713,   5063,   7935,  14276,  18329,  19017, 
/* msg =   3820, deg =  6 */    778,   2240,   9812,  15538,  19332,  19373, 
/* msg =   3821, deg =  6 */   4203,   8677,   9861,  11252,  12916,  18652, 
/* msg =   3822, deg =  6 */   6280,   6821,   9594,  10269,  13868,  14183, 
/* msg =   3823, deg =  6 */   3341,   4738,   5591,  14139,  14285,  18732, 
/* msg =   3824, deg =  6 */   4779,   8183,   9699,  12400,  14219,  16749, 
/* msg =   3825, deg =  6 */   3948,   7179,   8839,  13802,  17809,  18147, 
/* msg =   3826, deg =  6 */   2142,   2748,   3073,  10838,  14954,  17956, 
/* msg =   3827, deg =  6 */   1000,   1151,   1718,  12361,  17454,  19752, 
/* msg =   3828, deg =  6 */    444,   7406,   9014,  11038,  15459,  16104, 
/* msg =   3829, deg =  6 */   2836,   4432,   7299,  11063,  16935,  18910, 
/* msg =   3830, deg =  6 */   5238,   5975,   7731,  10488,  13005,  13540, 
/* msg =   3831, deg =  6 */   8419,   9507,   9744,  15955,  16796,  18651, 
/* msg =   3832, deg =  6 */   2988,   6694,   9969,  11305,  14090,  16043, 
/* msg =   3833, deg =  6 */   3476,   3736,   5865,  15668,  16893,  17506, 
/* msg =   3834, deg =  6 */   5941,   6214,   6724,  11455,  11676,  18753, 
/* msg =   3835, deg =  6 */    443,    884,   7693,  16716,  16989,  18029, 
/* msg =   3836, deg =  6 */    548,   2030,   8132,  15593,  15961,  19781, 
/* msg =   3837, deg =  6 */    957,   4491,   5069,  14846,  17409,  18755, 
/* msg =   3838, deg =  6 */   2920,   3837,   9838,  15079,  17360,  19234, 
/* msg =   3839, deg =  6 */    350,    582,   8814,  12985,  14204,  15646, 
/* msg =   3840, deg =  6 */     85,   6079,   8901,  11218,  13044,  16036, 
/* msg =   3841, deg =  6 */   1887,   5676,   9331,  11502,  14687,  18444, 
/* msg =   3842, deg =  6 */    967,   7368,   7832,  10429,  14976,  15099, 
/* msg =   3843, deg =  6 */   4866,   7391,   9109,  12249,  15572,  17937, 
/* msg =   3844, deg =  6 */    617,   1399,   8297,  14814,  15032,  18581, 
/* msg =   3845, deg =  6 */    417,    937,   7970,  12024,  17412,  17830, 
/* msg =   3846, deg =  6 */     33,   1643,   8662,  13549,  16205,  17096, 
/* msg =   3847, deg =  6 */   4792,   6354,   9090,  13115,  14878,  18905, 
/* msg =   3848, deg =  6 */   2340,   6729,   7008,  16380,  19078,  19884, 
/* msg =   3849, deg =  6 */    362,    657,   7128,  10964,  15732,  18263, 
/* msg =   3850, deg =  6 */   2912,   4787,   9992,  12712,  14146,  15435, 
/* msg =   3851, deg =  6 */    146,   4487,   8028,  13625,  15046,  17910, 
/* msg =   3852, deg =  6 */    332,   4197,   9067,  10712,  11277,  14190, 
/* msg =   3853, deg =  6 */   6314,   9345,   9447,  12903,  14536,  17341, 
/* msg =   3854, deg =  6 */   1929,   3172,   5681,  11252,  14041,  14773, 
/* msg =   3855, deg =  6 */   1192,   6456,   7244,  10795,  11076,  17964, 
/* msg =   3856, deg =  6 */   1248,   3289,   8436,  12629,  18117,  19945, 
/* msg =   3857, deg =  6 */    864,   2959,   3588,  10425,  11497,  16311, 
/* msg =   3858, deg =  6 */   1925,   2387,   4927,  16680,  17336,  19128, 
/* msg =   3859, deg =  6 */   1093,   8298,   8749,  10252,  13748,  15435, 
/* msg =   3860, deg =  6 */   1641,   7320,   8029,  11546,  13467,  16214, 
/* msg =   3861, deg =  6 */   2470,   4750,   7282,  16955,  18550,  18962, 
/* msg =   3862, deg =  6 */   1585,   4325,   4935,  10655,  13528,  16591, 
/* msg =   3863, deg =  6 */    283,   2526,   3160,  14750,  15086,  19487, 
/* msg =   3864, deg =  6 */   1544,   9002,   9522,  14776,  15096,  19994, 
/* msg =   3865, deg =  6 */   5530,   6883,   7398,  10767,  12864,  17905, 
/* msg =   3866, deg =  6 */   5062,   8495,   9647,  13687,  17899,  18854, 
/* msg =   3867, deg =  6 */   1487,   4024,   4263,  10981,  16608,  18260, 
/* msg =   3868, deg =  6 */   3000,   3494,   4226,  11872,  15464,  17078, 
/* msg =   3869, deg =  6 */   8656,   9761,   9856,  10589,  15138,  15549, 
/* msg =   3870, deg =  6 */   4589,   6704,   9981,  16423,  19116,  19697, 
/* msg =   3871, deg =  6 */   4150,   7467,   8010,  12677,  15123,  18264, 
/* msg =   3872, deg =  6 */      5,   1028,   1287,  10331,  17792,  18612, 
/* msg =   3873, deg =  6 */    533,   7788,   9989,  15361,  18021,  19409, 
/* msg =   3874, deg =  6 */    444,   3796,   8021,  10895,  11431,  14853, 
/* msg =   3875, deg =  6 */   2033,   6146,   8756,  13825,  15847,  15862, 
/* msg =   3876, deg =  6 */   2234,   7633,   9739,  14327,  14684,  17761, 
/* msg =   3877, deg =  6 */   1681,   5167,   8530,  16204,  16331,  16527, 
/* msg =   3878, deg =  6 */   1716,   8821,   9307,  11938,  17375,  18366, 
/* msg =   3879, deg =  6 */   2848,   5070,   9091,  15825,  17758,  19638, 
/* msg =   3880, deg =  6 */   2367,   3176,   4746,  10727,  11661,  16352, 
/* msg =   3881, deg =  6 */   2145,   5704,   8292,  14659,  18925,  18952, 
/* msg =   3882, deg =  6 */   6004,   7806,   8753,  14734,  17685,  18392, 
/* msg =   3883, deg =  6 */   3407,   3943,   5862,  12349,  15147,  19554, 
/* msg =   3884, deg =  6 */    782,   1422,   9731,  10607,  11834,  15225, 
/* msg =   3885, deg =  6 */   2667,   6177,   9512,  10069,  10617,  18181, 
/* msg =   3886, deg =  6 */   3648,   4282,   9328,  10957,  11489,  14155, 
/* msg =   3887, deg =  6 */   4905,   5802,   9058,  11662,  13638,  19175, 
/* msg =   3888, deg =  6 */   2186,   3319,   7105,  12882,  15081,  17753, 
/* msg =   3889, deg =  6 */   1485,   2884,   3844,  10917,  14197,  19255, 
/* msg =   3890, deg =  6 */   1284,   1471,   3502,  11942,  12550,  15743, 
/* msg =   3891, deg =  6 */   5957,   8439,   9573,  11954,  12376,  14227, 
/* msg =   3892, deg =  6 */   2507,   3030,   7897,  13113,  14048,  17771, 
/* msg =   3893, deg =  6 */   5004,   5839,   6467,  12160,  15142,  18841, 
/* msg =   3894, deg =  6 */   1991,   2134,   4366,  13935,  14109,  18736, 
/* msg =   3895, deg =  6 */   5976,   7071,   8476,  10314,  17184,  17668, 
/* msg =   3896, deg =  6 */   7645,   9050,   9581,  10731,  14411,  18265, 
/* msg =   3897, deg =  6 */   1734,   2497,   5445,  10988,  14313,  17368, 
/* msg =   3898, deg =  6 */   2362,   2559,   7200,  14475,  19785,  19943, 
/* msg =   3899, deg =  6 */   3491,   6098,   7580,  14382,  15416,  16584, 
/* msg =   3900, deg =  6 */    223,   2603,   3862,  12129,  12415,  15164, 
/* msg =   3901, deg =  6 */   1240,   3214,   9245,  10860,  12647,  19359, 
/* msg =   3902, deg =  6 */   3195,   5978,   9284,  10191,  13308,  17576, 
/* msg =   3903, deg =  6 */   3586,   8883,   9867,  15505,  18209,  19277, 
/* msg =   3904, deg =  6 */   3008,   5850,   9584,  12218,  15358,  19117, 
/* msg =   3905, deg =  6 */   1827,   2159,   6818,  11711,  14001,  14650, 
/* msg =   3906, deg =  6 */    181,   1954,   6223,  12359,  16986,  17202, 
/* msg =   3907, deg =  6 */   2077,   7122,   7721,  12764,  15374,  16859, 
/* msg =   3908, deg =  6 */    676,   2152,   7299,  16490,  16619,  19733, 
/* msg =   3909, deg =  6 */    801,   3293,   4989,  11674,  14437,  14753, 
/* msg =   3910, deg =  6 */   3799,   5892,   9955,  12092,  13778,  13792, 
/* msg =   3911, deg =  6 */   1163,   8145,   9946,  13912,  13995,  16796, 
/* msg =   3912, deg =  6 */   4947,   9277,   9993,  16276,  16603,  19103, 
/* msg =   3913, deg =  6 */   4093,   4326,   7921,  11329,  17230,  17463, 
/* msg =   3914, deg =  6 */    641,   6245,   7049,  13456,  15481,  16956, 
/* msg =   3915, deg =  6 */    405,   9187,   9451,  13690,  14412,  14709, 
/* msg =   3916, deg =  6 */   3756,   5243,   7768,  10664,  18490,  19629, 
/* msg =   3917, deg =  6 */   1002,   1577,   5439,  10881,  15816,  16992, 
/* msg =   3918, deg =  6 */   5696,   7999,   9422,  12508,  14414,  14660, 
/* msg =   3919, deg =  6 */    780,   5858,   6934,  11065,  14356,  16945, 
/* msg =   3920, deg =  6 */    781,   4215,   4494,  12377,  13050,  18654, 
/* msg =   3921, deg =  6 */    374,   3725,   9421,  15115,  16276,  18397, 
/* msg =   3922, deg =  6 */   2915,   5623,   9111,  11923,  16852,  19565, 
/* msg =   3923, deg =  6 */    162,   6719,   8102,  12384,  12506,  16728, 
/* msg =   3924, deg =  6 */    293,   3093,   6951,  10456,  17101,  18176, 
/* msg =   3925, deg =  6 */    893,   4955,   8482,  16270,  17235,  19029, 
/* msg =   3926, deg =  6 */   3990,   7879,   9298,  11352,  11631,  16685, 
/* msg =   3927, deg =  6 */   8073,   8893,   9895,  12910,  14816,  14925, 
/* msg =   3928, deg =  6 */   1030,   2711,   8352,  14136,  14655,  18630, 
/* msg =   3929, deg =  6 */   4978,   5829,   9948,  15799,  16199,  18598, 
/* msg =   3930, deg =  6 */   1757,   2784,   3033,  13278,  16445,  17644, 
/* msg =   3931, deg =  6 */     27,   6184,   7335,  11166,  11267,  15478, 
/* msg =   3932, deg =  6 */   5480,   8008,   9440,  13284,  16187,  19311, 
/* msg =   3933, deg =  6 */   3076,   3989,   7068,  13810,  15451,  15842, 
/* msg =   3934, deg =  6 */    272,    727,   7611,  13561,  17968,  18212, 
/* msg =   3935, deg =  6 */   1133,   8038,   8497,  12283,  12589,  17593, 
/* msg =   3936, deg =  6 */   1210,   2281,   6665,  12470,  14681,  19418, 
/* msg =   3937, deg =  6 */    437,   6719,   7598,  10828,  11236,  18688, 
/* msg =   3938, deg =  6 */    280,   1316,   2624,  13233,  15481,  18078, 
/* msg =   3939, deg =  6 */    233,   4110,   6855,  17639,  18309,  19629, 
/* msg =   3940, deg =  6 */   6595,   6737,   9129,  13400,  14262,  15693, 
/* msg =   3941, deg =  6 */      1,   6798,   6799,  15648,  16905,  19198, 
/* msg =   3942, deg =  6 */    384,    697,   1109,  12015,  12868,  18173, 
/* msg =   3943, deg =  6 */    817,   6313,   8034,  15359,  16940,  17348, 
/* msg =   3944, deg =  6 */   2194,   3610,   9066,  15447,  15501,  17611, 
/* msg =   3945, deg =  6 */   1629,   7243,   8583,  11646,  11697,  19874, 
/* msg =   3946, deg =  6 */   1510,   5731,   7708,  14327,  18110,  18419, 
/* msg =   3947, deg =  6 */   5820,   5860,   8913,  11097,  11159,  11875, 
/* msg =   3948, deg =  6 */   2178,   5000,   6722,  12191,  17607,  19691, 
/* msg =   3949, deg =  6 */   8898,   9164,   9351,  11489,  12504,  15967, 
/* msg =   3950, deg =  6 */    448,   8989,   9396,  11438,  15656,  18150, 
/* msg =   3951, deg =  6 */   3237,   3419,   9452,  19462,  19514,  19860, 
/* msg =   3952, deg =  6 */   2747,   7608,   9571,  14557,  16088,  18176, 
/* msg =   3953, deg =  6 */   1085,   1141,   5793,  10929,  18621,  18968, 
/* msg =   3954, deg =  6 */   5096,   8053,   9157,  10477,  10723,  17440, 
/* msg =   3955, deg =  6 */   3346,   4621,   8774,  11969,  15445,  19784, 
/* msg =   3956, deg =  6 */   1391,   2953,   9114,  11122,  11905,  18323, 
/* msg =   3957, deg =  6 */    763,   4705,   4853,  13658,  14577,  16844, 
/* msg =   3958, deg =  6 */   4125,   5955,   6944,  13143,  15076,  19709, 
/* msg =   3959, deg =  6 */   1640,   3720,   7621,  10939,  13025,  17522, 
/* msg =   3960, deg =  6 */   3451,   4519,   9407,  12945,  13660,  17579, 
/* msg =   3961, deg =  6 */   2279,   2486,   5877,  10868,  12980,  16257, 
/* msg =   3962, deg =  6 */   3798,   6444,   7815,  12178,  15401,  18949, 
/* msg =   3963, deg =  6 */   3181,   3929,   4773,  12085,  15674,  17490, 
/* msg =   3964, deg =  6 */    238,   4100,   8129,  15703,  16073,  18791, 
/* msg =   3965, deg =  6 */    423,   2722,   4564,  13443,  14362,  14726, 
/* msg =   3966, deg =  6 */    520,    658,   9643,  14357,  16250,  18330, 
/* msg =   3967, deg =  6 */   3087,   5730,   6026,  10669,  17214,  19133, 
/* msg =   3968, deg =  6 */    166,   5686,   9655,  11935,  12591,  14924, 
/* msg =   3969, deg =  6 */   2003,   9487,   9617,  10058,  10719,  16508, 
/* msg =   3970, deg =  6 */    168,   7535,   7886,  11913,  13649,  17667, 
/* msg =   3971, deg =  6 */   1841,   5338,   8354,  10530,  11321,  12955, 
/* msg =   3972, deg =  6 */   1755,   3248,   6267,  11221,  15164,  17077, 
/* msg =   3973, deg =  6 */   2508,   2931,   3453,  15718,  15960,  17895, 
/* msg =   3974, deg =  6 */   3974,   8710,   9212,  14308,  15887,  19969, 
/* msg =   3975, deg =  6 */   1766,   2451,   7274,  13102,  13636,  19054, 
/* msg =   3976, deg =  6 */   3922,   6299,   8587,  18225,  18729,  19167, 
/* msg =   3977, deg =  6 */    977,   2191,   4592,  12519,  14065,  15430, 
/* msg =   3978, deg =  6 */   5166,   7159,   7653,  11158,  16743,  18901, 
/* msg =   3979, deg =  6 */   1558,   3846,   7428,  12664,  17259,  19734, 
/* msg =   3980, deg =  6 */   4457,   4660,   5394,  12214,  15085,  19559, 
/* msg =   3981, deg =  6 */   3023,   6971,   9378,  10630,  11523,  16403, 
/* msg =   3982, deg =  6 */   1522,   2222,   9526,  11042,  13203,  13354, 
/* msg =   3983, deg =  6 */    649,   2482,   9493,  11766,  15508,  16599, 
/* msg =   3984, deg =  6 */   5015,   7846,   9973,  10842,  18623,  19128, 
/* msg =   3985, deg =  6 */   3946,   4320,   9773,  10188,  13500,  18246, 
/* msg =   3986, deg =  6 */   5179,   7029,   8225,  10559,  15886,  18800, 
/* msg =   3987, deg =  6 */   5642,   6761,   7281,  10708,  12276,  13417, 
/* msg =   3988, deg =  6 */   2959,   3661,   3794,  10690,  17374,  18218, 
/* msg =   3989, deg =  6 */   5667,   6987,   7189,  13640,  18296,  19688, 
/* msg =   3990, deg =  6 */   8547,   8773,   8919,  16510,  19108,  19680, 
/* msg =   3991, deg =  6 */   1041,   3243,   5246,  10620,  14182,  14974, 
/* msg =   3992, deg =  6 */   5462,   6800,   7338,  10180,  13192,  13206, 
/* msg =   3993, deg =  6 */   2163,   6720,   7584,  15007,  17746,  18889, 
/* msg =   3994, deg =  6 */   2927,   3200,   3691,  10916,  13663,  19906, 
/* msg =   3995, deg =  6 */    828,   3817,   5153,  11009,  12580,  18159, 
/* msg =   3996, deg =  6 */   1441,   4721,   8493,  18204,  19069,  19872, 
/* msg =   3997, deg =  6 */   1707,   4309,   7597,  12235,  14377,  17522, 
/* msg =   3998, deg =  6 */    184,   2080,   9684,  13935,  15773,  18876, 
/* msg =   3999, deg =  6 */   5554,   6783,   9949,  12908,  15868,  17649, 
/* msg =   4000, deg =  6 */   1381,   2529,   4361,  10480,  10695,  18047, 
/* msg =   4001, deg =  6 */   1345,   3364,   5312,  13327,  18179,  19875, 
/* msg =   4002, deg =  6 */     10,   2429,   3639,  10626,  12141,  18425, 
/* msg =   4003, deg =  6 */    155,   5017,   5441,  11622,  15660,  15677, 
/* msg =   4004, deg =  6 */   3075,   5147,   8709,  10445,  12001,  13651, 
/* msg =   4005, deg =  6 */   5700,   6794,   7802,  12799,  17532,  18048, 
/* msg =   4006, deg =  6 */   1739,   4731,   6287,  13739,  15684,  17057, 
/* msg =   4007, deg =  6 */   1177,   2930,   9127,  12618,  12958,  17665, 
/* msg =   4008, deg =  6 */   7471,   7969,   8657,  12007,  13086,  17643, 
/* msg =   4009, deg =  6 */   5099,   6201,   7080,  10965,  14118,  14192, 
/* msg =   4010, deg =  6 */   1229,   5492,   7322,  13622,  16558,  19729, 
/* msg =   4011, deg =  6 */   4143,   7893,   8488,  13677,  15611,  18400, 
/* msg =   4012, deg =  6 */   2507,   4113,   7043,  16857,  17997,  19956, 
/* msg =   4013, deg =  6 */   1070,   3252,   7339,  11948,  13965,  18979, 
/* msg =   4014, deg =  6 */   3806,   6084,   6115,  13042,  17462,  18710, 
/* msg =   4015, deg =  6 */   4772,   6412,   9942,  13627,  14587,  18688, 
/* msg =   4016, deg =  6 */   3850,   7305,   9021,  10284,  13095,  19506, 
/* msg =   4017, deg =  6 */   4559,   8155,   8504,  14245,  16431,  17808, 
/* msg =   4018, deg =  6 */   3587,   6384,   9478,  15237,  19304,  19693, 
/* msg =   4019, deg =  6 */   3458,   5224,   7982,  10699,  14266,  14418, 
/* msg =   4020, deg =  6 */   1785,   8048,   8848,  11171,  14102,  16168, 
/* msg =   4021, deg =  6 */   4915,   5253,   9871,  12278,  15681,  18474, 
/* msg =   4022, deg =  6 */    383,    714,   1616,  14258,  14804,  19822, 
/* msg =   4023, deg =  6 */   3561,   3867,   4871,  13856,  14989,  16456, 
/* msg =   4024, deg =  6 */    533,   5193,   8550,  12485,  13820,  18828, 
/* msg =   4025, deg =  6 */    824,   4547,   6136,  12984,  13011,  18749, 
/* msg =   4026, deg =  6 */   3568,   3882,   5867,  18240,  18436,  18920, 
/* msg =   4027, deg =  6 */   1145,   7252,   9174,  10474,  11014,  13237, 
/* msg =   4028, deg =  6 */   2172,   3772,   9865,  13146,  15647,  17818, 
/* msg =   4029, deg =  6 */    662,   5915,   6627,  10307,  17284,  17752, 
/* msg =   4030, deg =  6 */   1092,   6121,   8030,  11711,  15467,  15571, 
/* msg =   4031, deg =  6 */    193,   6602,   9972,  15116,  16263,  17028, 
/* msg =   4032, deg =  6 */   2404,   4633,   7899,  11732,  12171,  19909, 
/* msg =   4033, deg =  6 */   2139,   5835,   7672,  11406,  11648,  12759, 
/* msg =   4034, deg =  6 */   2462,   6007,   6930,  13364,  15787,  17237, 
/* msg =   4035, deg =  6 */    298,   2834,   5295,  12424,  14544,  16387, 
/* msg =   4036, deg =  6 */   2006,   5374,   8964,  12290,  14719,  16223, 
/* msg =   4037, deg =  6 */    238,   6683,   6749,  11653,  12085,  15552, 
/* msg =   4038, deg =  6 */   5166,   6490,   9080,  12592,  17671,  19424, 
/* msg =   4039, deg =  6 */   4130,   4274,   5880,  10886,  17131,  18990, 
/* msg =   4040, deg =  6 */   3414,   3426,   8065,  10498,  10732,  15100, 
/* msg =   4041, deg =  6 */    838,   9046,   9206,  10845,  15253,  16547, 
/* msg =   4042, deg =  6 */   4834,   7176,   7386,  11868,  15909,  16444, 
/* msg =   4043, deg =  6 */    404,   3165,   4536,  14495,  16570,  19362, 
/* msg =   4044, deg =  6 */   1995,   9576,   9820,  10803,  12394,  18096, 
/* msg =   4045, deg =  6 */   7773,   8690,   8712,  13572,  18015,  18493, 
/* msg =   4046, deg =  6 */   2490,   7120,   7558,  11647,  12393,  19007, 
/* msg =   4047, deg =  6 */    351,   3389,   7910,  16417,  16784,  17888, 
/* msg =   4048, deg =  6 */   1614,   5065,   9641,  13184,  14643,  18457, 
/* msg =   4049, deg =  6 */   3125,   7993,   8636,  15379,  16198,  18506, 
/* msg =   4050, deg =  6 */   6939,   7114,   8823,  11620,  11716,  13531, 
/* msg =   4051, deg =  6 */   8614,   9318,   9353,  14859,  15342,  16359, 
/* msg =   4052, deg =  6 */   6287,   6642,   7566,  10686,  12521,  17150, 
/* msg =   4053, deg =  6 */   6062,   7714,   9025,  14567,  16189,  17247, 
/* msg =   4054, deg =  6 */   2229,   3937,   4762,  15796,  16443,  17439, 
/* msg =   4055, deg =  6 */   1194,   2252,   3944,  12052,  16824,  19200, 
/* msg =   4056, deg =  6 */    277,   2446,   8179,  12979,  17010,  19721, 
/* msg =   4057, deg =  6 */   2263,   8557,   9702,  10630,  13489,  14842, 
/* msg =   4058, deg =  6 */   2698,   4046,   8408,  11440,  12370,  16437, 
/* msg =   4059, deg =  6 */   3660,   5619,   6363,  13363,  16467,  18853, 
/* msg =   4060, deg =  6 */   2820,   4879,   9370,  10208,  10972,  13007, 
/* msg =   4061, deg =  6 */   5073,   6840,   9365,  12508,  14423,  17426, 
/* msg =   4062, deg =  6 */   1306,   4187,   9313,  10775,  17556,  17569, 
/* msg =   4063, deg =  6 */   1752,   3616,   8860,  14305,  18468,  19384, 
/* msg =   4064, deg =  6 */   4830,   6108,   6811,  11215,  14585,  19177, 
/* msg =   4065, deg =  6 */    465,   6151,   7238,  16303,  16721,  18423, 
/* msg =   4066, deg =  6 */    225,   2381,   5962,  12247,  14882,  18492, 
/* msg =   4067, deg =  6 */   2947,   3521,   9431,  16446,  19372,  19466, 
/* msg =   4068, deg =  6 */    807,   4416,   8242,  17370,  17473,  17749, 
/* msg =   4069, deg =  6 */   1930,   3459,   5921,  10655,  15400,  17031, 
/* msg =   4070, deg =  6 */   2145,   2347,   2565,  12421,  12438,  17415, 
/* msg =   4071, deg =  6 */   1253,   5033,   5559,  14535,  16163,  17723, 
/* msg =   4072, deg =  6 */    277,   1872,   7528,  10867,  15618,  17592, 
/* msg =   4073, deg =  6 */    207,   2952,   4401,  10908,  15946,  16343, 
/* msg =   4074, deg =  6 */   2519,   5192,   8723,  11823,  11967,  17328, 
/* msg =   4075, deg =  6 */   2089,   6340,   9768,  12185,  13220,  15109, 
/* msg =   4076, deg =  6 */   2759,   3461,   3643,  10066,  13378,  17835, 
/* msg =   4077, deg =  6 */   6897,   7215,   8304,  12091,  14038,  17901, 
/* msg =   4078, deg =  6 */   3192,   3513,   9703,  12949,  15082,  17975, 
/* msg =   4079, deg =  6 */   1665,   5205,   7321,  12488,  16385,  16900, 
/* msg =   4080, deg =  6 */    408,    881,   1993,  10544,  12212,  18277, 
/* msg =   4081, deg =  6 */    382,   4133,   6904,  13497,  16319,  19721, 
/* msg =   4082, deg =  6 */   3705,   4003,   7604,  11764,  16829,  18353, 
/* msg =   4083, deg =  6 */   2141,   4907,   9461,  11010,  17552,  19315, 
/* msg =   4084, deg =  6 */    506,   6232,   6891,  11616,  12465,  18880, 
/* msg =   4085, deg =  6 */     74,   1474,   6199,  18129,  19098,  19129, 
/* msg =   4086, deg =  6 */   1706,   3415,   6059,  11456,  15190,  19936, 
/* msg =   4087, deg =  6 */    684,   3684,   4137,  11707,  19853,  19948, 
/* msg =   4088, deg =  6 */   2845,   7681,   8788,  12024,  14120,  17372, 
/* msg =   4089, deg =  6 */   1602,   3189,   4196,  15724,  16267,  16568, 
/* msg =   4090, deg =  6 */   1173,   4607,   5379,  10653,  13851,  15148, 
/* msg =   4091, deg =  6 */     86,    788,   4103,  15905,  19686,  19992, 
/* msg =   4092, deg =  6 */   4274,   5692,   9253,  12843,  13537,  15099, 
/* msg =   4093, deg =  6 */    738,   4484,   7002,  12962,  14761,  18802, 
/* msg =   4094, deg =  6 */    783,   3410,   8922,  10399,  17950,  19540, 
/* msg =   4095, deg =  6 */   1169,   2399,   9350,  12127,  18081,  19464, 
/* msg =   4096, deg =  6 */    860,   2807,   2931,  10667,  16340,  19797, 
/* msg =   4097, deg =  6 */   1498,   2482,   9656,  17530,  18123,  18259, 
/* msg =   4098, deg =  6 */   2614,   4165,   4634,  12931,  15611,  16206, 
/* msg =   4099, deg =  6 */   2362,   6149,   7311,  14934,  15991,  16231, 
/* msg =   4100, deg =  6 */    617,    917,   4246,  11129,  13026,  17192, 
/* msg =   4101, deg =  6 */   3096,   5016,   5897,  11126,  13824,  19739, 
/* msg =   4102, deg =  6 */   1623,   6982,   8950,  12035,  12750,  14011, 
/* msg =   4103, deg =  6 */   3256,   8382,   8954,  14069,  16349,  19509, 
/* msg =   4104, deg =  6 */   6231,   7021,   9709,  15772,  17967,  19965, 
/* msg =   4105, deg =  6 */    231,   3217,   9877,  16711,  18008,  19492, 
/* msg =   4106, deg =  6 */    710,   6242,   9313,  16345,  17259,  18982, 
/* msg =   4107, deg =  6 */   4381,   4664,   9963,  15165,  16314,  17707, 
/* msg =   4108, deg =  6 */   5160,   7930,   9826,  13871,  14407,  14681, 
/* msg =   4109, deg =  6 */   2866,   5811,   9187,  15786,  15900,  18670, 
/* msg =   4110, deg =  6 */   4029,   5237,   7421,  10048,  11777,  18729, 
/* msg =   4111, deg =  6 */   2741,   7386,   8802,  13548,  14323,  18582, 
/* msg =   4112, deg =  6 */   3899,   5653,   6167,  10312,  12931,  17120, 
/* msg =   4113, deg =  6 */   1327,   7543,   8321,  11851,  13643,  19340, 
/* msg =   4114, deg =  6 */   1006,   1763,   9240,  12298,  16795,  18939, 
/* msg =   4115, deg =  6 */   2527,   4003,   5015,  15654,  17720,  18083, 
/* msg =   4116, deg =  6 */   5158,   8769,   9974,  10249,  10298,  17994, 
/* msg =   4117, deg =  6 */   2271,   3570,   9191,  13729,  16532,  19147, 
/* msg =   4118, deg =  6 */   4117,   6447,   7063,  13348,  15530,  18534, 
/* msg =   4119, deg =  6 */   2880,   4146,   4574,  12124,  12688,  18810, 
/* msg =   4120, deg =  6 */    151,   3632,   8013,  11371,  13248,  15238, 
/* msg =   4121, deg =  6 */   1858,   2722,   4032,  17128,  18572,  19278, 
/* msg =   4122, deg =  6 */   3954,   5549,   8046,  18634,  18704,  19478, 
/* msg =   4123, deg =  6 */   1290,   5395,   8433,  13025,  15065,  15562, 
/* msg =   4124, deg =  6 */   4812,   7555,   7753,  10998,  13409,  18627, 
/* msg =   4125, deg =  6 */   1610,   3381,   6196,  13888,  14584,  17939, 
/* msg =   4126, deg =  6 */   5275,   6744,   9967,  12094,  12339,  14933, 
/* msg =   4127, deg =  6 */   1229,   2164,   2939,  10705,  16476,  19203, 
/* msg =   4128, deg =  6 */    313,   7520,   9209,  12126,  12381,  13916, 
/* msg =   4129, deg =  6 */   1848,   2168,   8342,  13967,  14718,  17887, 
/* msg =   4130, deg =  6 */   1903,   4668,   5210,  14735,  16432,  16844, 
/* msg =   4131, deg =  6 */   2106,   6923,   6929,  11977,  12000,  18196, 
/* msg =   4132, deg =  6 */   4944,   6023,   7158,  12595,  16064,  18669, 
/* msg =   4133, deg =  6 */    199,   6507,   8589,  12276,  18660,  19774, 
/* msg =   4134, deg =  6 */   1551,   2830,   7615,  13737,  17424,  18873, 
/* msg =   4135, deg =  6 */   2992,   4201,   5868,  10758,  14764,  15710, 
/* msg =   4136, deg =  6 */   5250,   8823,   9197,  10812,  12234,  17543, 
/* msg =   4137, deg =  6 */   4256,   4911,   9110,  13403,  16434,  16952, 
/* msg =   4138, deg =  6 */   1174,   4041,   9630,  11267,  12105,  14147, 
/* msg =   4139, deg =  6 */   1683,   4649,   7219,  13465,  18026,  19736, 
/* msg =   4140, deg =  6 */   4062,   5248,   7643,  13892,  18673,  19945, 
/* msg =   4141, deg =  6 */    343,   2033,   8382,  15976,  16875,  17422, 
/* msg =   4142, deg =  6 */   1518,   4156,   4341,  14953,  16677,  16913, 
/* msg =   4143, deg =  6 */    292,   1614,   5634,  15108,  15835,  19259, 
/* msg =   4144, deg =  6 */   2991,   4948,   6945,  12849,  14605,  18370, 
/* msg =   4145, deg =  6 */   1611,   4204,   9676,  11095,  16803,  17311, 
/* msg =   4146, deg =  6 */   1237,   3139,   8569,  12029,  13360,  15568, 
/* msg =   4147, deg =  6 */   1632,   3923,   7464,  11261,  12600,  15816, 
/* msg =   4148, deg =  6 */    859,   1436,   4511,  11348,  14366,  15604, 
/* msg =   4149, deg =  6 */   2558,   2892,   6403,  11737,  14264,  14359, 
/* msg =   4150, deg =  6 */    812,   8711,   9924,  13179,  18123,  19232, 
/* msg =   4151, deg =  6 */    506,   3314,   6071,  14271,  17798,  18282, 
/* msg =   4152, deg =  6 */   3339,   6321,   6877,  12184,  17911,  17983, 
/* msg =   4153, deg =  6 */    848,   4610,   7050,  12148,  12586,  12905, 
/* msg =   4154, deg =  6 */   2454,   3315,   8859,  11781,  16352,  16420, 
/* msg =   4155, deg =  6 */   6245,   7820,   9219,  11294,  15809,  19223, 
/* msg =   4156, deg =  6 */   2551,   4132,   7371,  14938,  15070,  19651, 
/* msg =   4157, deg =  6 */    400,   4577,   7507,  11454,  16473,  19699, 
/* msg =   4158, deg =  6 */   3283,   5139,   7108,  10032,  13069,  14935, 
/* msg =   4159, deg =  6 */   3664,   7373,   7379,  10645,  13898,  19392, 
/* msg =   4160, deg =  6 */    448,   5419,   7732,  13799,  17801,  18629, 
/* msg =   4161, deg =  6 */   6693,   7870,   8333,  12052,  12067,  15533, 
/* msg =   4162, deg =  6 */   2693,   3197,   5510,  12120,  12733,  16505, 
/* msg =   4163, deg =  6 */    755,   8779,   8939,  11492,  12523,  16011, 
/* msg =   4164, deg =  6 */   4651,   4985,   5173,  15932,  16550,  18118, 
/* msg =   4165, deg =  6 */   1804,   2640,   8208,  13491,  13917,  16418, 
/* msg =   4166, deg =  6 */    465,   7316,   9819,  11147,  12135,  16021, 
/* msg =   4167, deg =  6 */   1180,   2427,   4845,  10827,  13616,  16662, 
/* msg =   4168, deg =  6 */   1689,   3002,   3017,  14449,  16321,  19744, 
/* msg =   4169, deg =  6 */     99,    215,   2084,  13399,  14832,  15713, 
/* msg =   4170, deg =  6 */   4627,   7721,   9251,  11965,  17373,  18617, 
/* msg =   4171, deg =  6 */   1576,   3508,   3571,  11259,  12594,  18168, 
/* msg =   4172, deg =  6 */   3715,   8213,   9367,  11138,  14400,  15480, 
/* msg =   4173, deg =  6 */   4522,   5729,   7242,  12117,  13358,  14712, 
/* msg =   4174, deg =  6 */   3679,   4139,   5133,  12119,  12620,  19787, 
/* msg =   4175, deg =  6 */   2956,   6461,   7520,  14311,  19610,  19921, 
/* msg =   4176, deg =  6 */   1351,   1853,   6275,  10960,  13950,  16234, 
/* msg =   4177, deg =  6 */   2934,   4224,   5550,  10202,  11275,  18631, 
/* msg =   4178, deg =  6 */   3471,   8303,   8561,  11158,  13308,  13977, 
/* msg =   4179, deg =  6 */   1114,   4417,   7004,  12443,  14812,  18475, 
/* msg =   4180, deg =  6 */   1708,   2666,   9795,  16248,  17850,  18943, 
/* msg =   4181, deg =  6 */   7887,   9037,   9683,  14340,  14881,  17376, 
/* msg =   4182, deg =  6 */   3488,   8317,   8673,  11197,  13213,  17333, 
/* msg =   4183, deg =  6 */   4345,   4861,   7823,  10374,  19560,  19749, 
/* msg =   4184, deg =  6 */   1209,   1289,   7593,  11808,  14367,  14678, 
/* msg =   4185, deg =  6 */   3255,   5897,   7350,  14026,  18971,  19145, 
/* msg =   4186, deg =  6 */   1728,   2724,   5053,  10474,  16119,  16865, 
/* msg =   4187, deg =  6 */   1820,   4965,   6373,  12787,  14540,  18569, 
/* msg =   4188, deg =  6 */   4269,   5598,   6487,  10208,  12005,  18138, 
/* msg =   4189, deg =  6 */   3054,   3190,   9226,  13752,  15725,  15766, 
/* msg =   4190, deg =  6 */   3665,   6383,   8329,  15156,  19141,  19627, 
/* msg =   4191, deg =  6 */   1174,   5198,   7109,  15277,  18677,  19357, 
/* msg =   4192, deg =  6 */    647,   6027,   7612,  10292,  13394,  16408, 
/* msg =   4193, deg =  6 */    785,   6929,   7439,  12118,  13821,  17183, 
/* msg =   4194, deg =  6 */   2221,   6635,   7686,  12306,  12644,  19927, 
/* msg =   4195, deg =  6 */   4002,   6072,   9232,  11109,  14910,  17815, 
/* msg =   4196, deg =  6 */   2208,   6769,   9755,  11637,  12778,  18866, 
/* msg =   4197, deg =  6 */   5020,   5340,   5849,  11580,  13492,  18724, 
/* msg =   4198, deg =  6 */   1631,   7880,   9388,  10767,  14520,  18175, 
/* msg =   4199, deg =  6 */   1230,   4467,   6309,  10696,  16405,  18791, 
/* msg =   4200, deg =  6 */   2678,   6001,   9247,  10409,  11540,  12399, 
/* msg =   4201, deg =  6 */    351,   2403,   2420,  12037,  12363,  17399, 
/* msg =   4202, deg =  6 */   4170,   4702,   7681,  10274,  19107,  19964, 
/* msg =   4203, deg =  6 */   1655,   2455,   7009,  15160,  18552,  19072, 
/* msg =   4204, deg =  6 */   1418,   4838,   9925,  11675,  12150,  16282, 
/* msg =   4205, deg =  6 */   6062,   7505,   9227,  14289,  16051,  17206, 
/* msg =   4206, deg =  6 */    146,    264,   8031,  13221,  17133,  18789, 
/* msg =   4207, deg =  6 */   3865,   5804,   6048,  14752,  15471,  17844, 
/* msg =   4208, deg =  6 */   1014,   3278,   7913,  10259,  13942,  17663, 
/* msg =   4209, deg =  6 */    397,   1865,   6100,  12799,  13210,  19467, 
/* msg =   4210, deg =  6 */   1527,   3218,   7904,  15363,  17155,  19099, 
/* msg =   4211, deg =  6 */   1441,   3026,   9953,  10209,  17458,  17901, 
/* msg =   4212, deg =  6 */   3448,   6965,   7655,  11936,  12748,  14616, 
/* msg =   4213, deg =  6 */   6082,   6183,   7436,  14202,  16534,  16643, 
/* msg =   4214, deg =  6 */   1213,   4739,   6919,  10755,  11452,  16924, 
/* msg =   4215, deg =  6 */   2117,   3398,   7397,  15438,  16663,  19703, 
/* msg =   4216, deg =  6 */   1724,   2190,   7032,  16315,  16625,  17661, 
/* msg =   4217, deg =  6 */   3581,   6967,   7518,  11858,  11959,  16309, 
/* msg =   4218, deg =  6 */   4942,   7866,   7997,  17606,  19271,  19963, 
/* msg =   4219, deg =  6 */   5573,   8573,   9077,  11130,  13336,  15450, 
/* msg =   4220, deg =  6 */   2019,   6925,   7918,  14166,  17179,  19126, 
/* msg =   4221, deg =  6 */   3942,   7277,   8196,  11387,  12160,  14104, 
/* msg =   4222, deg =  6 */    195,   5831,   9684,  13289,  15959,  19507, 
/* msg =   4223, deg =  6 */   4753,   7671,   7854,  11421,  19413,  19824, 
/* msg =   4224, deg =  6 */   3776,   4692,   9085,  10623,  12447,  19684, 
/* msg =   4225, deg =  6 */    195,   1006,   1783,  11182,  13135,  13243, 
/* msg =   4226, deg =  6 */   1597,   1657,   5101,  16783,  18805,  19178, 
/* msg =   4227, deg =  6 */   1477,   4946,   9227,  10858,  16398,  18200, 
/* msg =   4228, deg =  6 */   1578,   6808,   8884,  12130,  17086,  19940, 
/* msg =   4229, deg =  6 */    692,    751,   4918,  10804,  13704,  14836, 
/* msg =   4230, deg =  6 */   4126,   4503,   9278,  10114,  11584,  14245, 
/* msg =   4231, deg =  6 */    452,    836,   7697,  10226,  14660,  18807, 
/* msg =   4232, deg =  6 */   6116,   6145,   7666,  10980,  13885,  16396, 
/* msg =   4233, deg =  6 */   1932,   6134,   9834,  11528,  12419,  16011, 
/* msg =   4234, deg =  6 */   2916,   6208,   6779,  15212,  16375,  16473, 
/* msg =   4235, deg =  6 */   2649,   3940,   6192,  15913,  17475,  18935, 
/* msg =   4236, deg =  6 */   2885,   7626,   9088,  10079,  15344,  17887, 
/* msg =   4237, deg =  6 */   4089,   5035,   8857,  10325,  11625,  14912, 
/* msg =   4238, deg =  6 */   2647,   8787,   8994,  10211,  14563,  16583, 
/* msg =   4239, deg =  6 */    481,   1427,   4900,  13252,  16962,  18447, 
/* msg =   4240, deg =  6 */   3768,   4307,   4359,  10541,  13681,  17636, 
/* msg =   4241, deg =  6 */    999,   2062,   4704,  12744,  16985,  17930, 
/* msg =   4242, deg =  6 */   2760,   3727,   8403,  12234,  14705,  18815, 
/* msg =   4243, deg =  6 */   1426,   5391,   7044,  13340,  15665,  18823, 
/* msg =   4244, deg =  6 */    306,   1889,   4393,  12287,  15409,  19490, 
/* msg =   4245, deg =  6 */   4100,   5188,   9624,  12633,  15018,  15393, 
/* msg =   4246, deg =  6 */   3123,   6511,   9083,  11306,  13399,  16056, 
/* msg =   4247, deg =  6 */   1409,   2220,   7346,  10297,  12808,  17729, 
/* msg =   4248, deg =  6 */    240,   4622,   4964,  16043,  16592,  19433, 
/* msg =   4249, deg =  6 */   3746,   9749,   9919,  10336,  12588,  16615, 
/* msg =   4250, deg =  6 */   7320,   7459,   9259,  10222,  10271,  18798, 
/* msg =   4251, deg =  6 */   3537,   8205,   9332,  10159,  14413,  17610, 
/* msg =   4252, deg =  6 */   4408,   6139,   6304,  11194,  13838,  19471, 
/* msg =   4253, deg =  6 */   1120,   6967,   9778,  10566,  12461,  16556, 
/* msg =   4254, deg =  6 */   3391,   3715,   8549,  10568,  16208,  18826, 
/* msg =   4255, deg =  6 */   2079,   8974,   9032,  15256,  15462,  15720, 
/* msg =   4256, deg =  6 */   4157,   4222,   9515,  15039,  15654,  19675, 
/* msg =   4257, deg =  6 */   4689,   8824,   9327,  10886,  16150,  16351, 
/* msg =   4258, deg =  6 */    813,   6449,   7963,  11624,  12915,  16769, 
/* msg =   4259, deg =  6 */   2268,   7473,   9207,  16954,  18829,  19389, 
/* msg =   4260, deg =  6 */   6455,   7025,   8733,  11589,  16430,  19814, 
/* msg =   4261, deg =  6 */   4799,   7243,   8460,  13584,  16066,  18244, 
/* msg =   4262, deg =  6 */   2736,   3109,   4442,  11853,  13816,  15662, 
/* msg =   4263, deg =  6 */   3745,   5207,   8056,  15446,  16391,  19360, 
/* msg =   4264, deg =  6 */   3588,   6188,   9796,  10624,  12314,  16111, 
/* msg =   4265, deg =  6 */    113,   2368,   9531,  11527,  15812,  19532, 
/* msg =   4266, deg =  6 */   7589,   8319,   8333,  13395,  14108,  16793, 
/* msg =   4267, deg =  6 */   1927,   5014,   6490,  12255,  12556,  17548, 
/* msg =   4268, deg =  6 */   1898,   2232,   4489,  16661,  17378,  18864, 
/* msg =   4269, deg =  6 */     37,    125,   5926,  13814,  16899,  17492, 
/* msg =   4270, deg =  6 */   3008,   9624,   9630,  14568,  17027,  19473, 
/* msg =   4271, deg =  6 */   4697,   6541,   8507,  13251,  16173,  19040, 
/* msg =   4272, deg =  6 */   1558,   4563,   9960,  14848,  16742,  17921, 
/* msg =   4273, deg =  6 */   1650,   8148,   9032,  10415,  17480,  19980, 
/* msg =   4274, deg =  6 */   2246,   3550,   8524,  11008,  15216,  17678, 
/* msg =   4275, deg =  6 */    265,   7799,   9732,  10631,  11030,  11851, 
/* msg =   4276, deg =  6 */   3181,   4762,   5407,  14842,  14975,  19495, 
/* msg =   4277, deg =  6 */   1324,   4188,   7263,  10527,  16023,  19342, 
/* msg =   4278, deg =  6 */   5302,   9264,   9871,  12983,  16799,  18763, 
/* msg =   4279, deg =  6 */    901,   6765,   7902,  15200,  16194,  19661, 
/* msg =   4280, deg =  6 */   3417,   4094,   5872,  14473,  16335,  19681, 
/* msg =   4281, deg =  6 */    811,   9290,   9929,  10149,  14683,  17487, 
/* msg =   4282, deg =  6 */    600,   6389,   8895,  12201,  13093,  17366, 
/* msg =   4283, deg =  6 */    907,   1314,   6285,  14358,  19465,  19925, 
/* msg =   4284, deg =  6 */    469,   1297,   4496,  10688,  12165,  17451, 
/* msg =   4285, deg =  6 */   1929,   5474,   6155,  12903,  16766,  18704, 
/* msg =   4286, deg =  6 */   4190,   5434,   5895,  11397,  12447,  17582, 
/* msg =   4287, deg =  6 */   7720,   8002,   8764,  10926,  13172,  17533, 
/* msg =   4288, deg =  6 */   2837,   4300,   7353,  11422,  13032,  14828, 
/* msg =   4289, deg =  6 */   3460,   3742,   7484,  12058,  15233,  16258, 
/* msg =   4290, deg =  6 */   1207,   1963,   9647,  10772,  10846,  11059, 
/* msg =   4291, deg =  6 */   7919,   8975,   9008,  14375,  15254,  15962, 
/* msg =   4292, deg =  6 */   5963,   7379,   7494,  10966,  13169,  17603, 
/* msg =   4293, deg =  6 */   3505,   6823,   7694,  11956,  16832,  17500, 
/* msg =   4294, deg =  6 */   3743,   4603,   7156,  12468,  13051,  17541, 
/* msg =   4295, deg =  6 */   6629,   7225,   7846,  10476,  15673,  16475, 
/* msg =   4296, deg =  6 */   2264,   3492,   4995,  11122,  12602,  18321, 
/* msg =   4297, deg =  6 */   2339,   6810,   9888,  12484,  14046,  15357, 
/* msg =   4298, deg =  6 */   1502,   2483,   8928,  11523,  17664,  18246, 
/* msg =   4299, deg =  6 */   3613,   6376,   9120,  10176,  14549,  18187, 
/* msg =   4300, deg =  6 */   2121,   6162,   9940,  12097,  18314,  19016, 
/* msg =   4301, deg =  6 */    160,   5313,   8506,  11286,  16462,  19296, 
/* msg =   4302, deg =  6 */   1240,   3191,   6575,  12999,  16931,  18270, 
/* msg =   4303, deg =  6 */   5329,   6584,   7419,  11800,  18295,  19130, 
/* msg =   4304, deg =  6 */   1508,   2357,   4579,  16897,  17597,  19857, 
/* msg =   4305, deg =  6 */    494,   1092,   5805,  10633,  13238,  17727, 
/* msg =   4306, deg =  6 */   1016,   2980,   6966,  13567,  14429,  19355, 
/* msg =   4307, deg =  6 */   3268,   5903,   9200,  13128,  16216,  18407, 
/* msg =   4308, deg =  6 */     28,    909,   4763,  11328,  14570,  16550, 
/* msg =   4309, deg =  6 */   5251,   7385,   9196,  10000,  10547,  14644, 
/* msg =   4310, deg =  6 */     90,   4860,   9075,  12941,  13826,  19608, 
/* msg =   4311, deg =  6 */   3351,   6395,   9179,  10274,  19337,  19659, 
/* msg =   4312, deg =  6 */   1779,   2550,   5173,  11668,  12269,  16285, 
/* msg =   4313, deg =  6 */   3562,   4225,   6454,  11399,  12442,  14304, 
/* msg =   4314, deg =  6 */   4016,   5234,   6213,  10046,  13307,  17141, 
/* msg =   4315, deg =  6 */    382,   7457,   7524,  10906,  11804,  17622, 
/* msg =   4316, deg =  6 */   5669,   6400,   8125,  11453,  14472,  16773, 
/* msg =   4317, deg =  6 */   3106,   8111,   8606,  14094,  14831,  14918, 
/* msg =   4318, deg =  6 */   2623,   2773,   8844,  14184,  15476,  15714, 
/* msg =   4319, deg =  6 */   2291,   3619,   7903,  11892,  13200,  14238, 
/* msg =   4320, deg =  6 */   1506,   3670,   4032,  15067,  15630,  18390, 
/* msg =   4321, deg =  6 */   3102,   7943,   9030,  12260,  13835,  15620, 
/* msg =   4322, deg =  6 */    362,    381,   8044,  12869,  19068,  19880, 
/* msg =   4323, deg =  6 */   5299,   6264,   7507,  13448,  15553,  17880, 
/* msg =   4324, deg =  6 */    692,   4110,   6156,  10860,  11691,  13393, 
/* msg =   4325, deg =  6 */    303,    378,   8731,  10057,  10857,  17039, 
/* msg =   4326, deg =  6 */    825,   1306,   8513,  13128,  14252,  19605, 
/* msg =   4327, deg =  6 */    424,   2758,   6838,  18984,  19385,  19607, 
/* msg =   4328, deg =  6 */    995,   1095,   2214,  11566,  12892,  13146, 
/* msg =   4329, deg =  6 */   2928,   4161,   5940,  12997,  14747,  15555, 
/* msg =   4330, deg =  6 */    498,   2653,   5705,  14870,  15011,  16932, 
/* msg =   4331, deg =  6 */    651,   4596,   4901,  16494,  17965,  18793, 
/* msg =   4332, deg =  6 */   5466,   7796,   8757,  16988,  17214,  19949, 
/* msg =   4333, deg =  6 */     75,   3904,   5785,  13329,  13334,  17166, 
/* msg =   4334, deg =  6 */   3115,   3379,   4899,  13376,  13515,  13993, 
/* msg =   4335, deg =  6 */   2649,   9387,   9472,  13164,  13491,  14891, 
/* msg =   4336, deg =  6 */    889,   2972,   7872,  11512,  16288,  19658, 
/* msg =   4337, deg =  6 */   2599,   4877,   5808,  12139,  14607,  16888, 
/* msg =   4338, deg =  6 */    912,   1189,   1300,  12253,  15035,  19878, 
/* msg =   4339, deg =  6 */   5677,   5744,   8445,  17191,  17345,  19180, 
/* msg =   4340, deg =  6 */   2112,   2878,   3236,  10903,  12192,  13413, 
/* msg =   4341, deg =  6 */   6243,   6812,   9547,  10159,  10731,  14278, 
/* msg =   4342, deg =  6 */   2110,   5655,   7032,  10672,  10722,  15506, 
/* msg =   4343, deg =  6 */   6296,   7928,   9482,  10749,  13602,  16757, 
/* msg =   4344, deg =  6 */   2610,   5890,   9849,  18808,  18848,  19508, 
/* msg =   4345, deg =  6 */   2665,   7748,   7802,  11610,  13361,  13548, 
/* msg =   4346, deg =  6 */    242,    611,   6388,  10150,  11209,  13100, 
/* msg =   4347, deg =  6 */    707,   4408,   9675,  11324,  18719,  18946, 
/* msg =   4348, deg =  6 */   3181,   4520,   5937,  10240,  11150,  11794, 
/* msg =   4349, deg =  6 */    890,   2232,   6408,  12577,  13286,  18401, 
/* msg =   4350, deg =  6 */   5980,   6131,   8867,  10200,  15709,  17153, 
/* msg =   4351, deg =  6 */   3034,   4596,   6101,  10589,  10593,  17081, 
/* msg =   4352, deg =  6 */    743,   1197,   8469,  14379,  15352,  17982, 
/* msg =   4353, deg =  6 */   6387,   9082,   9519,  10932,  13749,  19528, 
/* msg =   4354, deg =  6 */   3069,   7482,   9723,  17730,  18411,  18784, 
/* msg =   4355, deg =  6 */   1299,   2660,   3789,  11381,  15051,  18298, 
/* msg =   4356, deg =  6 */   5096,   6659,   9227,  10432,  14953,  19698, 
/* msg =   4357, deg =  6 */   3283,   7590,   9375,  14006,  14872,  16430, 
/* msg =   4358, deg =  6 */   6247,   8812,   8990,  10272,  11852,  12198, 
/* msg =   4359, deg =  6 */   1463,   6279,   9969,  11619,  12432,  19533, 
/* msg =   4360, deg =  6 */   2287,   4526,   9490,  14355,  15053,  19333, 
/* msg =   4361, deg =  6 */    175,   3018,   4346,  11744,  18365,  18809, 
/* msg =   4362, deg =  6 */    159,   7508,   8632,  10589,  11900,  19995, 
/* msg =   4363, deg =  6 */   1016,   3025,   8510,  12989,  13608,  13925, 
/* msg =   4364, deg =  6 */    482,   5494,   6671,  13288,  18526,  19134, 
/* msg =   4365, deg =  6 */   5174,   6466,   7070,  13482,  15542,  17180, 
/* msg =   4366, deg =  6 */   2741,   3139,   6893,  14231,  14915,  19276, 
/* msg =   4367, deg =  6 */     15,   2175,   5508,  13991,  14564,  18539, 
/* msg =   4368, deg =  6 */   1427,   4363,   7630,  10188,  10815,  14241, 
/* msg =   4369, deg =  6 */   2519,   4278,   8511,  13163,  13370,  15791, 
/* msg =   4370, deg =  6 */   3221,   5866,   9458,  14049,  14364,  17949, 
/* msg =   4371, deg =  6 */    810,   6658,   7641,  14080,  17675,  18331, 
/* msg =   4372, deg =  6 */   2091,   3445,   8497,  10874,  13253,  19897, 
/* msg =   4373, deg =  6 */   2064,   3784,   5982,  12343,  13194,  15973, 
/* msg =   4374, deg =  6 */    167,   5646,   6688,  16698,  17338,  18201, 
/* msg =   4375, deg =  6 */   2705,   4162,   4824,  14063,  17405,  17794, 
/* msg =   4376, deg =  6 */    892,   5684,   6503,  12640,  13955,  14648, 
/* msg =   4377, deg =  6 */   4892,   6235,   8853,  12230,  19370,  19398, 
/* msg =   4378, deg =  6 */   2819,   8307,   9570,  11367,  11614,  12875, 
/* msg =   4379, deg =  6 */   1555,   5089,   6713,  11032,  12068,  12517, 
/* msg =   4380, deg =  6 */   5964,   8325,   8887,  12490,  14805,  17984, 
/* msg =   4381, deg =  6 */   2927,   7685,   7878,  13068,  13665,  17786, 
/* msg =   4382, deg =  6 */   2424,   3506,   7298,  12037,  15686,  15898, 
/* msg =   4383, deg =  6 */    436,   1969,   4163,  10501,  12139,  18155, 
/* msg =   4384, deg =  6 */   4553,   8017,   8417,  13582,  18311,  18746, 
/* msg =   4385, deg =  6 */   4662,   6529,   8911,  10193,  17271,  19599, 
/* msg =   4386, deg =  6 */   6385,   8798,   8953,  12075,  12496,  15215, 
/* msg =   4387, deg =  6 */   1692,   4860,   9987,  10855,  11997,  17268, 
/* msg =   4388, deg =  6 */   4998,   6142,   7236,  10495,  10859,  11746, 
/* msg =   4389, deg =  6 */    794,   3400,   8033,  10265,  11417,  16909, 
/* msg =   4390, deg =  6 */   1331,   4723,   6766,  10424,  15866,  16325, 
/* msg =   4391, deg =  6 */    217,   2124,   6562,  14541,  16543,  17645, 
/* msg =   4392, deg =  6 */   2944,   3679,   8287,  11692,  18022,  18267, 
/* msg =   4393, deg =  6 */   2413,   5552,   6335,  12970,  17993,  18152, 
/* msg =   4394, deg =  6 */   8246,   8258,   9135,  14002,  15388,  16651, 
/* msg =   4395, deg =  6 */   5052,   6653,   7867,  12860,  14350,  16577, 
/* msg =   4396, deg =  6 */   1060,   3253,   9025,  11648,  12928,  18868, 
/* msg =   4397, deg =  6 */   2218,   4285,   5195,  12017,  12998,  16239, 
/* msg =   4398, deg =  6 */   2165,   4648,   9794,  11986,  15613,  18887, 
/* msg =   4399, deg =  6 */   3127,   4121,   9364,  17244,  18146,  18498, 
/* msg =   4400, deg =  6 */   2099,   2741,   7840,  15898,  16492,  19330, 
/* msg =   4401, deg =  6 */    816,   2058,   4623,  11186,  12441,  14798, 
/* msg =   4402, deg =  6 */    980,   6841,   8591,  12557,  13776,  15258, 
/* msg =   4403, deg =  6 */   1230,   1810,   9220,  12965,  18253,  18615, 
/* msg =   4404, deg =  6 */   3609,   6434,   8409,  10662,  14626,  15280, 
/* msg =   4405, deg =  6 */    158,   2119,   9515,  10338,  12103,  19338, 
/* msg =   4406, deg =  6 */    450,   1244,   9127,  10854,  12648,  19173, 
/* msg =   4407, deg =  6 */   2733,   3699,   6396,  10505,  15867,  16034, 
/* msg =   4408, deg =  6 */   3649,   4094,   6050,  10449,  15200,  16832, 
/* msg =   4409, deg =  6 */   2275,   4396,   5978,  15014,  15884,  18315, 
/* msg =   4410, deg =  6 */   1703,   1886,   5104,  13069,  14614,  15303, 
/* msg =   4411, deg =  6 */   3226,   4369,   9288,  13269,  15485,  17306, 
/* msg =   4412, deg =  6 */   6592,   6908,   7808,  10213,  11042,  11641, 
/* msg =   4413, deg =  6 */    639,   8224,   9844,  12762,  13653,  19506, 
/* msg =   4414, deg =  6 */   1388,   3495,   9111,  14322,  18999,  19967, 
/* msg =   4415, deg =  6 */    124,   3142,   4855,  17063,  18115,  19300, 
/* msg =   4416, deg =  6 */   3345,   6785,   8217,  13392,  16836,  17507, 
/* msg =   4417, deg =  6 */   7801,   9310,   9592,  11121,  14144,  16717, 
/* msg =   4418, deg =  6 */   2425,   7190,   7672,  13764,  15696,  17289, 
/* msg =   4419, deg =  6 */   3896,   4644,   5854,  15067,  15177,  18001, 
/* msg =   4420, deg =  6 */    949,   4436,   8515,  12010,  14335,  14933, 
/* msg =   4421, deg =  6 */   2067,   4774,   4846,  12596,  13157,  14070, 
/* msg =   4422, deg =  6 */   2368,   3579,   5283,  10978,  16413,  17860, 
/* msg =   4423, deg =  6 */    555,   2251,   4429,  11418,  13262,  15198, 
/* msg =   4424, deg =  6 */   3221,   4161,   7956,  12752,  16083,  16333, 
/* msg =   4425, deg =  6 */   2375,   6233,   9084,  16546,  19428,  19486, 
/* msg =   4426, deg =  6 */   1117,   3566,   6832,  12650,  14515,  16643, 
/* msg =   4427, deg =  6 */   3006,   4288,   8727,  13047,  13292,  17953, 
/* msg =   4428, deg =  6 */    650,   4006,   6122,  13259,  15127,  16708, 
/* msg =   4429, deg =  6 */   1744,   8006,   8214,  12963,  13890,  19554, 
/* msg =   4430, deg =  6 */   3092,   3278,   8492,  10339,  15293,  16799, 
/* msg =   4431, deg =  6 */   3974,   6412,   7957,  14751,  16464,  16914, 
/* msg =   4432, deg =  6 */   1060,   2412,   8473,  11517,  13740,  15314, 
/* msg =   4433, deg =  6 */   3427,   4637,   9469,  10586,  15150,  17193, 
/* msg =   4434, deg =  6 */   1067,   6092,   7881,  13727,  15911,  16134, 
/* msg =   4435, deg =  6 */   4336,   6178,   8851,  10298,  12948,  16235, 
/* msg =   4436, deg =  6 */   1001,   4277,   5127,  11384,  13099,  16733, 
/* msg =   4437, deg =  6 */   5184,   8226,   8592,  13434,  15809,  17336, 
/* msg =   4438, deg =  6 */   1063,   7331,   9879,  13499,  17356,  17381, 
/* msg =   4439, deg =  6 */   1805,   3159,   7095,  11583,  12884,  16301, 
/* msg =   4440, deg =  6 */   3110,   6725,   8455,  10601,  11751,  18900, 
/* msg =   4441, deg =  6 */    441,   2415,   4536,  11102,  13412,  17387, 
/* msg =   4442, deg =  6 */   1627,   4743,   9104,  14417,  16406,  19695, 
/* msg =   4443, deg =  6 */    789,   2055,   2821,  13229,  15967,  16205, 
/* msg =   4444, deg =  6 */     44,    745,   7240,  14734,  16654,  19270, 
/* msg =   4445, deg =  6 */   2917,   6937,   8902,  10400,  16330,  18421, 
/* msg =   4446, deg =  6 */   5947,   8019,   9930,  13480,  18012,  18598, 
/* msg =   4447, deg =  6 */   3361,   9425,   9978,  10006,  18062,  19976, 
/* msg =   4448, deg =  6 */   1611,   6547,   6590,  12707,  19215,  19365, 
/* msg =   4449, deg =  6 */   4724,   6925,   7123,  12369,  15184,  17297, 
/* msg =   4450, deg =  6 */   1552,   5574,   6740,  10593,  12551,  13146, 
/* msg =   4451, deg =  6 */    759,   2308,   9178,  15281,  16885,  19003, 
/* msg =   4452, deg =  6 */    708,   7542,   9129,  12219,  14742,  17357, 
/* msg =   4453, deg =  6 */   4070,   5859,   5995,  10086,  10792,  17487, 
/* msg =   4454, deg =  6 */   2971,   5715,   6924,  10898,  12380,  18499, 
/* msg =   4455, deg =  6 */   1258,   2464,   4620,  10195,  17641,  19840, 
/* msg =   4456, deg =  6 */   1870,   4465,   9721,  13881,  15290,  16226, 
/* msg =   4457, deg =  6 */    355,   8371,   8645,  16357,  18267,  18280, 
/* msg =   4458, deg =  6 */   7199,   8118,   9391,  11867,  12476,  13884, 
/* msg =   4459, deg =  6 */    470,   1531,   8553,  16070,  16944,  18754, 
/* msg =   4460, deg =  6 */   6741,   7289,   7619,  12332,  12674,  15596, 
/* msg =   4461, deg =  6 */   2015,   6326,   6670,  12378,  13623,  16521, 
/* msg =   4462, deg =  6 */    139,   5054,   7005,  16234,  16501,  17666, 
/* msg =   4463, deg =  6 */   3734,   7260,   7867,  13338,  15508,  15754, 
/* msg =   4464, deg =  6 */   1281,   4823,   9432,  11780,  11990,  19217, 
/* msg =   4465, deg =  6 */   7032,   8019,   9429,  13959,  18363,  18527, 
/* msg =   4466, deg =  6 */   3316,   6461,   9917,  10335,  11870,  17569, 
/* msg =   4467, deg =  6 */   5911,   8892,   9760,  11835,  15430,  16279, 
/* msg =   4468, deg =  6 */   4638,   6076,   9648,  10592,  14979,  16568, 
/* msg =   4469, deg =  6 */   1053,   5357,   6601,  13328,  15978,  18705, 
/* msg =   4470, deg =  6 */   2007,   4492,   8365,  11966,  15385,  16186, 
/* msg =   4471, deg =  6 */   2888,   5979,   8653,  16634,  17377,  18548, 
/* msg =   4472, deg =  6 */   1601,   5088,   6050,  11334,  11351,  13572, 
/* msg =   4473, deg =  6 */    941,   2115,   9925,  13287,  17117,  19209, 
/* msg =   4474, deg =  6 */    210,    719,   6243,  14795,  18834,  19374, 
/* msg =   4475, deg =  6 */   1928,   2504,   9807,  13093,  16154,  19580, 
/* msg =   4476, deg =  6 */   1729,   6631,   7009,  14981,  15131,  17319, 
/* msg =   4477, deg =  6 */   3250,   3764,   5737,  15480,  18713,  18722, 
/* msg =   4478, deg =  6 */   3512,   5496,   8781,  12937,  16313,  19251, 
/* msg =   4479, deg =  6 */   8033,   8107,   9234,  12097,  12515,  13735, 
/* msg =   4480, deg =  6 */   1349,   4667,   6822,  11911,  12847,  17875, 
/* msg =   4481, deg =  6 */   1234,   3487,   9459,  10913,  11551,  18271, 
/* msg =   4482, deg =  6 */    725,   6719,   7936,  16555,  17067,  18779, 
/* msg =   4483, deg =  6 */    565,   2393,   3037,  13169,  13653,  14950, 
/* msg =   4484, deg =  6 */    634,    853,   1280,  10659,  15095,  19882, 
/* msg =   4485, deg =  6 */   4088,   4177,   9933,  14852,  17893,  18268, 
/* msg =   4486, deg =  6 */   4292,   8204,   9401,  12233,  13274,  18701, 
/* msg =   4487, deg =  6 */   5988,   7649,   8054,  12420,  15001,  19191, 
/* msg =   4488, deg =  6 */    893,   2486,   5163,  11741,  14413,  18751, 
/* msg =   4489, deg =  6 */    716,    740,   9903,  12395,  15014,  19778, 
/* msg =   4490, deg =  6 */   3420,   5477,   8866,  10660,  11275,  13074, 
/* msg =   4491, deg =  6 */   2483,   3169,   8648,  11717,  13798,  19115, 
/* msg =   4492, deg =  6 */   1579,   3369,   8338,  11436,  17091,  18513, 
/* msg =   4493, deg =  6 */    975,   6054,   8609,  11825,  17774,  18850, 
/* msg =   4494, deg =  6 */   2648,   5154,   9499,  13644,  16193,  17970, 
/* msg =   4495, deg =  6 */   1819,   4801,   9424,  11472,  14798,  15284, 
/* msg =   4496, deg =  6 */    752,   2329,   8061,  10276,  12186,  16477, 
/* msg =   4497, deg =  6 */    526,   7580,   8546,  10876,  11219,  11661, 
/* msg =   4498, deg =  6 */   1532,   3904,   7974,  11734,  11830,  16075, 
/* msg =   4499, deg =  6 */   1478,   1684,   6863,  11809,  17882,  18526, 
/* msg =   4500, deg =  6 */   3435,   4750,   7459,  10429,  16153,  16907, 
/* msg =   4501, deg =  6 */   1352,   4358,   9779,  12191,  13940,  17316, 
/* msg =   4502, deg =  6 */    571,   1307,   5171,  11709,  12259,  18117, 
/* msg =   4503, deg =  6 */    714,   3526,   4359,  14893,  17152,  17489, 
/* msg =   4504, deg =  6 */   3856,   8960,   9339,  11103,  15210,  17628, 
/* msg =   4505, deg =  6 */   2551,   3718,   9363,  10604,  13605,  17411, 
/* msg =   4506, deg =  6 */   2594,   6730,   9118,  15640,  16164,  18166, 
/* msg =   4507, deg =  6 */   4547,   7559,   9438,  16642,  17104,  17967, 
/* msg =   4508, deg =  6 */   1363,   3320,   4248,  11766,  13808,  16814, 
/* msg =   4509, deg =  6 */   1364,   4760,   4818,  12330,  17117,  18220, 
/* msg =   4510, deg =  6 */    269,   2543,   7530,  13427,  14445,  15101, 
/* msg =   4511, deg =  6 */   2997,   8194,   9999,  11036,  12571,  17407, 
/* msg =   4512, deg =  6 */   7947,   8150,   9033,  10815,  17805,  19854, 
/* msg =   4513, deg =  6 */   3905,   6042,   8938,  13224,  13304,  16059, 
/* msg =   4514, deg =  6 */    785,    836,   7140,  10415,  15162,  17625, 
/* msg =   4515, deg =  6 */   2217,   7071,   9983,  11738,  11803,  13436, 
/* msg =   4516, deg =  6 */   3026,   3572,   5098,  11948,  17493,  17711, 
/* msg =   4517, deg =  6 */   2406,   8008,   9082,  10370,  10383,  16627, 
/* msg =   4518, deg =  6 */   1497,   2192,   6572,  17608,  18502,  19048, 
/* msg =   4519, deg =  6 */   1144,   2443,   5229,  15090,  18262,  18437, 
/* msg =   4520, deg =  6 */   4193,   8215,   9555,  12403,  13502,  14509, 
/* msg =   4521, deg =  6 */   3176,   4143,   8819,  10464,  12498,  18040, 
/* msg =   4522, deg =  6 */   2686,   2783,   5016,  13486,  14897,  15567, 
/* msg =   4523, deg =  6 */   4434,   6756,   9855,  11713,  15317,  19681, 
/* msg =   4524, deg =  6 */    385,   2732,   9771,  10583,  19055,  19706, 
/* msg =   4525, deg =  6 */    757,   4653,   6594,  14527,  18666,  19610, 
/* msg =   4526, deg =  6 */    268,   2365,   8237,  11395,  11899,  17867, 
/* msg =   4527, deg =  6 */   1278,   5152,   8430,  10023,  12392,  13883, 
/* msg =   4528, deg =  6 */   2016,   6899,   8545,  12881,  13031,  18807, 
/* msg =   4529, deg =  6 */   1614,   5236,   9483,  13493,  16646,  17015, 
/* msg =   4530, deg =  6 */   2887,   4972,   6626,  15207,  17221,  18708, 
/* msg =   4531, deg =  6 */   5263,   8938,   9718,  11571,  13880,  15241, 
/* msg =   4532, deg =  6 */   2140,   4287,   4740,  12243,  13453,  15961, 
/* msg =   4533, deg =  6 */    870,   3806,   5075,  11019,  13816,  15638, 
/* msg =   4534, deg =  6 */   4008,   7002,   7551,  11899,  15301,  16973, 
/* msg =   4535, deg =  6 */   2858,   7601,   9616,  11356,  13259,  16648, 
/* msg =   4536, deg =  6 */    952,   5037,   6173,  10967,  17145,  18609, 
/* msg =   4537, deg =  6 */   1123,   2066,   2985,  14055,  17368,  18597, 
/* msg =   4538, deg =  6 */   2246,   5503,   6964,  14811,  15915,  17840, 
/* msg =   4539, deg =  6 */   6344,   7771,   8865,  15322,  15758,  19178, 
/* msg =   4540, deg =  6 */   2241,   4997,   6917,  13998,  19732,  19963, 
/* msg =   4541, deg =  6 */   3590,   4712,   8584,  13446,  17595,  18914, 
/* msg =   4542, deg =  6 */   4124,   6871,   8578,  10015,  14132,  17107, 
/* msg =   4543, deg =  6 */   3401,   3884,   9365,  10753,  11429,  15900, 
/* msg =   4544, deg =  6 */    831,   6650,   9219,  14349,  19193,  19765, 
/* msg =   4545, deg =  6 */   2040,   4099,   8703,  11006,  13440,  18966, 
/* msg =   4546, deg =  6 */   3844,   4220,   4995,  10300,  12716,  15172, 
/* msg =   4547, deg =  6 */    108,   8588,   9547,  11648,  12547,  12961, 
/* msg =   4548, deg =  6 */   5324,   6431,   9337,  15053,  18684,  19500, 
/* msg =   4549, deg =  6 */   1506,   3767,   9207,  10006,  10085,  12577, 
/* msg =   4550, deg =  6 */   8580,   9539,   9698,  11447,  14037,  19408, 
/* msg =   4551, deg =  6 */   5676,   6248,   8934,  10164,  13939,  14041, 
/* msg =   4552, deg =  6 */     37,    679,   8092,  12359,  12947,  13301, 
/* msg =   4553, deg =  6 */     57,   1600,   9400,  13679,  13954,  19751, 
/* msg =   4554, deg =  6 */    306,   5936,   9960,  10065,  10545,  12855, 
/* msg =   4555, deg =  6 */   1663,   2347,   4543,  10701,  11914,  14739, 
/* msg =   4556, deg =  6 */    668,   2745,   3553,  15818,  17096,  19677, 
/* msg =   4557, deg =  6 */   1975,   3194,   5948,  13212,  14701,  17937, 
/* msg =   4558, deg =  6 */   1589,   2681,   4808,  10083,  19097,  19924, 
/* msg =   4559, deg =  6 */     41,   5754,   9911,  15012,  17823,  18339, 
/* msg =   4560, deg =  6 */   2637,   7970,   8429,  15468,  17453,  19459, 
/* msg =   4561, deg =  6 */   1633,   4314,   7765,  10635,  19399,  19698, 
/* msg =   4562, deg =  6 */   7151,   7883,   8612,  13942,  14840,  17155, 
/* msg =   4563, deg =  6 */   1818,   2789,   8262,  12945,  16523,  17127, 
/* msg =   4564, deg =  6 */   1723,   2349,   5723,  10315,  15769,  16332, 
/* msg =   4565, deg =  6 */   3048,   4828,   8938,  10934,  13622,  14623, 
/* msg =   4566, deg =  6 */   1460,   1798,   3268,  12921,  15704,  17215, 
/* msg =   4567, deg =  6 */   7148,   7609,   7682,  14299,  17244,  19344, 
/* msg =   4568, deg =  6 */   2063,   6162,   6214,  11946,  16600,  17947, 
/* msg =   4569, deg =  6 */   2814,   4977,   6125,  13061,  14869,  15647, 
/* msg =   4570, deg =  6 */   1677,   2884,   4148,  10316,  14758,  16908, 
/* msg =   4571, deg =  6 */   5835,   7414,   8336,  13661,  15329,  18215, 
/* msg =   4572, deg =  6 */   1673,   8386,   8842,  17708,  18030,  19542, 
/* msg =   4573, deg =  6 */    257,   1808,   2747,  12028,  13508,  19269, 
/* msg =   4574, deg =  6 */    380,   5151,   5950,  13413,  15356,  19841, 
/* msg =   4575, deg =  6 */   2312,   7087,   7951,  14081,  15375,  18835, 
/* msg =   4576, deg =  6 */   2979,   5028,   9476,  10033,  12456,  14614, 
/* msg =   4577, deg =  6 */     95,   2758,   9495,  11546,  15497,  15856, 
/* msg =   4578, deg =  6 */   4610,   6226,   9585,  12227,  15163,  19071, 
/* msg =   4579, deg =  6 */   2570,   5836,   8494,  15971,  16227,  17145, 
/* msg =   4580, deg =  6 */    122,    580,   2895,  14721,  17023,  17086, 
/* msg =   4581, deg =  6 */    649,   1612,   5579,  14403,  17515,  19301, 
/* msg =   4582, deg =  6 */   1454,   7370,   8615,  12549,  15366,  15728, 
/* msg =   4583, deg =  6 */    474,   5699,   7070,  10382,  13092,  13689, 
/* msg =   4584, deg =  6 */   1052,   3662,   9437,  12019,  14828,  15512, 
/* msg =   4585, deg =  6 */    286,   2843,   9634,  10428,  14084,  15586, 
/* msg =   4586, deg =  6 */    293,   9784,   9901,  11279,  11749,  14290, 
/* msg =   4587, deg =  6 */   4170,   4227,   9153,  10112,  12556,  12893, 
/* msg =   4588, deg =  6 */   5740,   7556,   8351,  11329,  12597,  19182, 
/* msg =   4589, deg =  6 */   5423,   6675,   8980,  10751,  12516,  17702, 
/* msg =   4590, deg =  6 */   1456,   3380,   4951,  16048,  16833,  18859, 
/* msg =   4591, deg =  6 */   1242,   1438,   5318,  14061,  14818,  19702, 
/* msg =   4592, deg =  6 */   3303,   4086,   5246,  12639,  13769,  18063, 
/* msg =   4593, deg =  6 */   4781,   5503,   6852,  12802,  13984,  15962, 
/* msg =   4594, deg =  6 */   2753,   5444,   6625,  10843,  18236,  18876, 
/* msg =   4595, deg =  6 */   3042,   3162,   5683,  12449,  14453,  18500, 
/* msg =   4596, deg =  6 */    295,    881,   1318,  15269,  18225,  19130, 
/* msg =   4597, deg =  6 */    279,    678,   5615,  11932,  12908,  19943, 
/* msg =   4598, deg =  6 */     60,   3222,   9239,  13718,  16617,  19576, 
/* msg =   4599, deg =  6 */   3419,   4105,   5385,  12171,  14430,  14606, 
/* msg =   4600, deg =  6 */    918,   1916,   8460,  11965,  15878,  16768, 
/* msg =   4601, deg =  6 */   1829,   6980,   9651,  10011,  10212,  11840, 
/* msg =   4602, deg =  6 */   1346,   4152,   7616,  10916,  15042,  18662, 
/* msg =   4603, deg =  6 */    117,   3291,   7745,  16495,  18619,  19511, 
/* msg =   4604, deg =  6 */    690,    877,   9939,  10387,  12627,  16738, 
/* msg =   4605, deg =  6 */   7940,   9215,   9572,  10094,  15219,  16638, 
/* msg =   4606, deg =  6 */    224,   4624,   7319,  10977,  11313,  12739, 
/* msg =   4607, deg =  6 */   1187,   6630,   8092,  10188,  14291,  16498, 
/* msg =   4608, deg =  6 */   3744,   7358,   9329,  10937,  13951,  16974, 
/* msg =   4609, deg =  6 */   2007,   3955,   4715,  10295,  12228,  16280, 
/* msg =   4610, deg =  6 */   1309,   4212,   7112,  14490,  16633,  18341, 
/* msg =   4611, deg =  6 */   3673,   3963,   5541,  10631,  12541,  13963, 
/* msg =   4612, deg =  6 */   1108,   2524,   4533,  10357,  12943,  17627, 
/* msg =   4613, deg =  6 */   4360,   4766,   8873,  10519,  14141,  17722, 
/* msg =   4614, deg =  6 */   3443,   8894,   8996,  10500,  12055,  13501, 
/* msg =   4615, deg =  6 */   2327,   3852,   9956,  11818,  15227,  18691, 
/* msg =   4616, deg =  6 */   5050,   6881,   9944,  12340,  15554,  16614, 
/* msg =   4617, deg =  6 */   3249,   5003,   6492,  10097,  16057,  19384, 
/* msg =   4618, deg =  6 */    953,   4944,   9828,  10504,  17205,  18229, 
/* msg =   4619, deg =  6 */   1327,   6367,   7443,  12057,  15340,  18359, 
/* msg =   4620, deg =  6 */   3766,   4795,   8317,  10416,  14640,  15508, 
/* msg =   4621, deg =  6 */   3794,   4875,   5478,  17178,  19108,  19404, 
/* msg =   4622, deg =  6 */    800,   1855,   9064,  10963,  12017,  14986, 
/* msg =   4623, deg =  6 */   2142,   2343,   4279,  15407,  16606,  19598, 
/* msg =   4624, deg =  6 */   2774,   5179,   8460,  11607,  16428,  16560, 
/* msg =   4625, deg =  6 */   1921,   2357,   6797,  10220,  12838,  14310, 
/* msg =   4626, deg =  6 */    849,   1761,   9049,  11723,  17349,  17635, 
/* msg =   4627, deg =  6 */   1152,   4402,   4761,  16089,  18584,  19427, 
/* msg =   4628, deg =  6 */   3470,   5715,   7455,  11196,  16039,  16606, 
/* msg =   4629, deg =  6 */   4563,   6544,   8351,  15614,  17050,  18810, 
/* msg =   4630, deg =  6 */   5661,   7309,   7715,  11016,  13882,  16977, 
/* msg =   4631, deg =  6 */    711,   7406,   7787,  10193,  13301,  13591, 
/* msg =   4632, deg =  6 */    614,   4675,   5268,  10443,  13798,  19907, 
/* msg =   4633, deg =  6 */   1759,   2673,   3531,  12844,  13338,  19887, 
/* msg =   4634, deg =  6 */   1379,   3749,   7981,  12675,  13499,  14898, 
/* msg =   4635, deg =  6 */   5956,   7398,   8830,  11561,  12293,  13793, 
/* msg =   4636, deg =  6 */   2046,   2693,   8563,  10743,  18478,  19719, 
/* msg =   4637, deg =  6 */   6384,   6874,   8600,  12986,  15493,  19755, 
/* msg =   4638, deg =  6 */   2908,   4059,   5092,  15666,  17774,  18617, 
/* msg =   4639, deg =  6 */   2374,   3620,   5803,  10614,  12596,  17473, 
/* msg =   4640, deg =  6 */    141,   4550,   8386,  10915,  14241,  18064, 
/* msg =   4641, deg =  6 */   4495,   5777,   8943,  14459,  15892,  18194, 
/* msg =   4642, deg =  6 */    308,   1116,   3962,  11225,  14510,  16179, 
/* msg =   4643, deg =  6 */     84,   6712,   8824,  14991,  16624,  17480, 
/* msg =   4644, deg =  6 */     60,   1135,   2383,  14602,  17132,  17933, 
/* msg =   4645, deg =  6 */   2464,   5988,   6580,  13289,  14940,  15906, 
/* msg =   4646, deg =  6 */    726,   4852,   7293,  12698,  14461,  14857, 
/* msg =   4647, deg =  6 */   2574,   4842,   5662,  10874,  14866,  16629, 
/* msg =   4648, deg =  6 */   2237,   4297,   5666,  12933,  17525,  18508, 
/* msg =   4649, deg =  6 */   6663,   7536,   9878,  11522,  14034,  18351, 
/* msg =   4650, deg =  6 */   1698,   3171,   3621,  11558,  11930,  16488, 
/* msg =   4651, deg =  6 */    138,   8809,   9326,  10458,  12405,  17644, 
/* msg =   4652, deg =  6 */    508,   6260,   7929,  11488,  11944,  12976, 
/* msg =   4653, deg =  6 */   2757,   6131,   7680,  12870,  14628,  19898, 
/* msg =   4654, deg =  6 */   7506,   8045,   9087,  10941,  12335,  15409, 
/* msg =   4655, deg =  6 */   4799,   8396,   9661,  14436,  16584,  18084, 
/* msg =   4656, deg =  6 */   3382,   9650,   9709,  13043,  14221,  19145, 
/* msg =   4657, deg =  6 */    415,   6370,   7975,  13705,  17161,  18619, 
/* msg =   4658, deg =  6 */   7539,   8114,   9851,  14679,  14755,  15435, 
/* msg =   4659, deg =  6 */   3823,   4119,   4330,  16255,  17284,  19153, 
/* msg =   4660, deg =  6 */   3137,   7146,   8156,  10569,  14459,  15680, 
/* msg =   4661, deg =  6 */   1170,   4885,   6661,  11610,  17839,  19090, 
/* msg =   4662, deg =  6 */   3632,   4034,   8858,  12490,  14496,  16213, 
/* msg =   4663, deg =  6 */   1032,   3361,   7224,  11452,  15835,  17031, 
/* msg =   4664, deg =  6 */   5161,   8082,   8386,  14702,  16693,  17372, 
/* msg =   4665, deg =  6 */   3211,   3926,   5377,  12724,  13607,  19216, 
/* msg =   4666, deg =  6 */   2395,   6185,   7918,  10646,  11850,  13024, 
/* msg =   4667, deg =  6 */   2471,   7836,   9665,  12363,  13062,  16783, 
/* msg =   4668, deg =  6 */   3109,   3426,   9488,  10321,  12688,  13353, 
/* msg =   4669, deg =  6 */     75,   2265,   8230,  13803,  14861,  16848, 
/* msg =   4670, deg =  6 */   1380,   4462,   5761,  12009,  16401,  16903, 
/* msg =   4671, deg =  6 */    493,   1341,   6196,  14731,  19675,  19938, 
/* msg =   4672, deg =  6 */   4583,   7539,   7964,  13632,  16588,  18348, 
/* msg =   4673, deg =  6 */   2416,   3509,   7859,  13936,  15443,  17595, 
/* msg =   4674, deg =  6 */    873,   3269,   9783,  13923,  14424,  17375, 
/* msg =   4675, deg =  6 */   2516,   4192,   9592,  12194,  16894,  18367, 
/* msg =   4676, deg =  6 */    937,   3385,   8196,  11325,  17053,  17169, 
/* msg =   4677, deg =  6 */   4353,   6961,   7630,  11961,  19196,  19676, 
/* msg =   4678, deg =  6 */    372,   4392,   6782,  13385,  13860,  14771, 
/* msg =   4679, deg =  6 */   2382,   5771,   7157,  10299,  11389,  11988, 
/* msg =   4680, deg =  6 */   3244,   4535,   7746,  12445,  14478,  18260, 
/* msg =   4681, deg =  6 */   1289,   6222,   6377,  11007,  15730,  16589, 
/* msg =   4682, deg =  6 */   2097,   4441,   5068,  13669,  17747,  19309, 
/* msg =   4683, deg =  6 */   4769,   5949,   8533,  10666,  11252,  19842, 
/* msg =   4684, deg =  6 */   2332,   4130,   6237,  16146,  16588,  19097, 
/* msg =   4685, deg =  6 */    828,   3168,   8620,  15827,  18534,  18700, 
/* msg =   4686, deg =  6 */   1435,   2248,   8465,  10252,  10358,  17455, 
/* msg =   4687, deg =  6 */   1673,   5254,   8862,  13047,  14124,  18679, 
/* msg =   4688, deg =  6 */   3297,   3931,   4035,  12564,  12822,  15769, 
/* msg =   4689, deg =  6 */   1751,   6494,   7882,  12460,  13547,  19847, 
/* msg =   4690, deg =  6 */    316,   1165,   7556,  11350,  14671,  18033, 
/* msg =   4691, deg =  6 */   1365,   2381,   7052,  11714,  17283,  17706, 
/* msg =   4692, deg =  6 */   2663,   3986,   8357,  10461,  16126,  17329, 
/* msg =   4693, deg =  6 */   3045,   3118,   8349,  10001,  12853,  15603, 
/* msg =   4694, deg =  6 */    658,   3161,   7273,  11388,  13901,  18238, 
/* msg =   4695, deg =  6 */   3683,   4345,   5949,  10322,  12765,  18682, 
/* msg =   4696, deg =  6 */    181,   1844,   5533,  14772,  16797,  18650, 
/* msg =   4697, deg =  6 */   6427,   7961,   9071,  10841,  11210,  17567, 
/* msg =   4698, deg =  6 */   5270,   7822,   9721,  12345,  13666,  19539, 
/* msg =   4699, deg =  6 */   1019,   6100,   7653,  13821,  17516,  17778, 
/* msg =   4700, deg =  6 */   1962,   7323,   8404,  13037,  16113,  18034, 
/* msg =   4701, deg =  6 */   6848,   7700,   9223,  12807,  16759,  16868, 
/* msg =   4702, deg =  6 */   3662,   3869,   6309,  12401,  14193,  16099, 
/* msg =   4703, deg =  6 */   2114,   6726,   7945,  12626,  15378,  18034, 
/* msg =   4704, deg =  6 */   2989,   5545,   6013,  13623,  17414,  19110, 
/* msg =   4705, deg =  6 */   4797,   5450,   8391,  10565,  11991,  16431, 
/* msg =   4706, deg =  6 */   4079,   4373,   9148,  12929,  13231,  19934, 
/* msg =   4707, deg =  6 */   1520,   4225,   4447,  14878,  15319,  16539, 
/* msg =   4708, deg =  6 */   2528,   3608,   5870,  13258,  16792,  17332, 
/* msg =   4709, deg =  6 */   5040,   8296,   9573,  15745,  15790,  19809, 
/* msg =   4710, deg =  6 */   5047,   8339,   8855,  11640,  13377,  18285, 
/* msg =   4711, deg =  6 */   4098,   9298,   9775,  11729,  13100,  14658, 
/* msg =   4712, deg =  6 */    950,   2763,   3497,  10898,  14977,  18861, 
/* msg =   4713, deg =  6 */   1375,   5790,   8166,  11994,  17888,  19138, 
/* msg =   4714, deg =  6 */    530,   1847,   5880,  14453,  17495,  19417, 
/* msg =   4715, deg =  6 */   6014,   7275,   8959,  12002,  12704,  18100, 
/* msg =   4716, deg =  6 */   4283,   6226,   7631,  12518,  12809,  19216, 
/* msg =   4717, deg =  6 */   1420,   2259,   5289,  10643,  17680,  18073, 
/* msg =   4718, deg =  6 */     30,     87,   1812,  11190,  14524,  16453, 
/* msg =   4719, deg =  6 */   1322,   3824,   5323,  10170,  14178,  19775, 
/* msg =   4720, deg =  6 */   3344,   6447,   7760,  14889,  15750,  17128, 
/* msg =   4721, deg =  6 */   6909,   7302,   8024,  11125,  18525,  18893, 
/* msg =   4722, deg =  6 */   2531,   5914,   6898,  10659,  11118,  12846, 
/* msg =   4723, deg =  6 */   2943,   5867,   8276,  11025,  15511,  19953, 
/* msg =   4724, deg =  6 */   1072,   9273,   9932,  12366,  12663,  15585, 
/* msg =   4725, deg =  6 */   1764,   3287,   3362,  11416,  13430,  17782, 
/* msg =   4726, deg =  6 */   3677,   6229,   7184,  11862,  13217,  14419, 
/* msg =   4727, deg =  6 */   4427,   7012,   7635,  11441,  17730,  17925, 
/* msg =   4728, deg =  6 */   3117,   9392,   9513,  10454,  15544,  19836, 
/* msg =   4729, deg =  6 */   4950,   5365,   9039,  10364,  10908,  16350, 
/* msg =   4730, deg =  6 */   3572,   4107,   8760,  12486,  18164,  19334, 
/* msg =   4731, deg =  6 */   1416,   2407,   2448,  11298,  11628,  18487, 
/* msg =   4732, deg =  6 */   2458,   3059,   6267,  13282,  18985,  19125, 
/* msg =   4733, deg =  6 */   2684,   5363,   7602,  14214,  14415,  18577, 
/* msg =   4734, deg =  6 */   1317,   2366,   6063,  12492,  12659,  17747, 
/* msg =   4735, deg =  6 */    310,    876,   9436,  11034,  14349,  14805, 
/* msg =   4736, deg =  6 */   2706,   6788,   7345,  17045,  17335,  19233, 
/* msg =   4737, deg =  6 */   1522,   8514,   9208,  10926,  12473,  12478, 
/* msg =   4738, deg =  6 */   1004,   2418,   5239,  14553,  19490,  19964, 
/* msg =   4739, deg =  6 */   3356,   4293,   5324,  11658,  12565,  19100, 
/* msg =   4740, deg =  6 */   7263,   7739,   9751,  13507,  18283,  19754, 
/* msg =   4741, deg =  6 */   4905,   6957,   7385,  11525,  11859,  16839, 
/* msg =   4742, deg =  6 */     35,   2926,   4942,  11673,  13976,  16968, 
/* msg =   4743, deg =  6 */    202,   7822,   8890,  12736,  15252,  15627, 
/* msg =   4744, deg =  6 */   2125,   4374,   4517,  10114,  11726,  19932, 
/* msg =   4745, deg =  6 */   1264,   2492,   9291,  12852,  16218,  18898, 
/* msg =   4746, deg =  6 */   1546,   6634,   7226,  12459,  16462,  18420, 
/* msg =   4747, deg =  6 */   3932,   5784,   8816,  10965,  11774,  19449, 
/* msg =   4748, deg =  6 */   3996,   6870,   9700,  14492,  16962,  17813, 
/* msg =   4749, deg =  6 */   2708,   3197,   5730,  12165,  19668,  19769, 
/* msg =   4750, deg =  6 */    968,   1897,   4805,  15128,  15937,  19111, 
/* msg =   4751, deg =  6 */    915,   4824,   6236,  14147,  15015,  18516, 
/* msg =   4752, deg =  6 */   7253,   7978,   9180,  10127,  13669,  14031, 
/* msg =   4753, deg =  6 */   1413,   3141,   3633,  12433,  15751,  18227, 
/* msg =   4754, deg =  6 */   6815,   7747,   9411,  10738,  17807,  19160, 
/* msg =   4755, deg =  6 */   4416,   6124,   7800,  10402,  13359,  18288, 
/* msg =   4756, deg =  6 */   1104,   1168,   8042,  13400,  14601,  18975, 
/* msg =   4757, deg =  6 */   3230,   5130,   7216,  14119,  16436,  16678, 
/* msg =   4758, deg =  6 */    942,   9393,   9781,  17881,  17985,  19969, 
/* msg =   4759, deg =  6 */   4176,   9111,   9494,  13116,  13136,  15093, 
/* msg =   4760, deg =  6 */   2656,   4433,   7337,  10493,  15513,  18106, 
/* msg =   4761, deg =  6 */   2643,   8119,   9809,  10403,  10738,  16044, 
/* msg =   4762, deg =  6 */   1934,   7172,   7371,  11746,  16941,  19987, 
/* msg =   4763, deg =  6 */    230,    287,    538,  12101,  12887,  13959, 
/* msg =   4764, deg =  6 */    208,    540,   3100,  10497,  14784,  15327, 
/* msg =   4765, deg =  6 */   4217,   5700,   9503,  12188,  12684,  19175, 
/* msg =   4766, deg =  6 */   2634,   3274,   4608,  11751,  13429,  16119, 
/* msg =   4767, deg =  6 */   3271,   6677,   9305,  10597,  12296,  15062, 
/* msg =   4768, deg =  6 */    439,   7144,   9596,  10789,  17318,  19679, 
/* msg =   4769, deg =  6 */   5407,   6271,   6404,  10645,  15152,  15325, 
/* msg =   4770, deg =  6 */    395,   7130,   8455,  12797,  14769,  15203, 
/* msg =   4771, deg =  6 */    537,   4413,   9738,  12119,  15236,  17467, 
/* msg =   4772, deg =  6 */   4085,   8561,   9276,  10375,  13014,  15995, 
/* msg =   4773, deg =  6 */   1223,   7207,   8178,  12910,  15822,  18237, 
/* msg =   4774, deg =  6 */   5830,   8532,   9445,  12886,  18456,  18804, 
/* msg =   4775, deg =  6 */   2459,   2476,   3117,  12844,  13080,  18482, 
/* msg =   4776, deg =  6 */   1699,   1848,   4421,  11368,  13211,  19713, 
/* msg =   4777, deg =  6 */     42,   6296,   9449,  10979,  13754,  17126, 
/* msg =   4778, deg =  6 */   2628,   4205,   6817,  11473,  18738,  19184, 
/* msg =   4779, deg =  6 */   2791,   6844,   7804,  10543,  16553,  16734, 
/* msg =   4780, deg =  6 */    552,   2119,   3791,  10757,  11521,  15828, 
/* msg =   4781, deg =  6 */   4636,   5626,   7505,  10311,  11817,  11919, 
/* msg =   4782, deg =  6 */   3261,   4142,   7660,  12412,  12454,  18633, 
/* msg =   4783, deg =  6 */   2871,   4068,   9062,  11099,  15336,  16248, 
/* msg =   4784, deg =  6 */   4199,   7301,   8682,  11731,  13037,  14443, 
/* msg =   4785, deg =  6 */    970,   3771,   9819,  11233,  13643,  15788, 
/* msg =   4786, deg =  6 */   2610,   3213,   3239,  13189,  13731,  19230, 
/* msg =   4787, deg =  6 */   5918,   8255,   9005,  13351,  15352,  18402, 
/* msg =   4788, deg =  6 */   1686,   4432,   7163,  10744,  11569,  15628, 
/* msg =   4789, deg =  6 */    101,    835,   4237,  12379,  16198,  18695, 
/* msg =   4790, deg =  6 */   1023,   4697,   6029,  10880,  17098,  18373, 
/* msg =   4791, deg =  6 */   7813,   8072,   8489,  10333,  12719,  17800, 
/* msg =   4792, deg =  6 */   7024,   7854,   8785,  12001,  12922,  18201, 
/* msg =   4793, deg =  6 */   1882,   7088,   9772,  10716,  13134,  16816, 
/* msg =   4794, deg =  6 */   3168,   4909,   5289,  14173,  16185,  16274, 
/* msg =   4795, deg =  6 */   6792,   7164,   7865,  10522,  15922,  16436, 
/* msg =   4796, deg =  6 */    637,   3973,   9817,  11127,  12800,  17804, 
/* msg =   4797, deg =  6 */   1368,   4484,   6441,  17851,  18667,  18799, 
/* msg =   4798, deg =  6 */   1664,   8344,   9453,  11591,  15232,  15826, 
/* msg =   4799, deg =  6 */     62,   7888,   8449,  10268,  11076,  18691, 
/* msg =   4800, deg =  6 */    956,   1983,   7043,  13460,  17326,  19867, 
/* msg =   4801, deg =  6 */   3443,   9536,   9862,  11281,  16051,  18165, 
/* msg =   4802, deg =  6 */    897,   1890,   2928,  10321,  11029,  12637, 
/* msg =   4803, deg =  6 */   2799,   6888,   7794,  10244,  10576,  12505, 
/* msg =   4804, deg =  6 */    193,   5727,   8037,  13472,  14156,  14185, 
/* msg =   4805, deg =  6 */   5824,   8138,   9486,  12751,  14066,  16060, 
/* msg =   4806, deg =  6 */   1796,   4291,   6002,  14684,  19024,  19865, 
/* msg =   4807, deg =  6 */   2166,   4528,   8868,  10903,  12670,  19308, 
/* msg =   4808, deg =  6 */   2051,   4686,   6743,  17322,  18056,  18069, 
/* msg =   4809, deg =  6 */   3115,   5221,   7272,  14433,  14648,  15297, 
/* msg =   4810, deg =  6 */   3187,   4688,   6189,  11386,  12318,  12763, 
/* msg =   4811, deg =  6 */   1130,   6972,   7301,  15425,  16237,  19810, 
/* msg =   4812, deg =  6 */    332,    884,   5501,  12739,  17448,  18353, 
/* msg =   4813, deg =  6 */    986,   1877,   7213,  17206,  17296,  19534, 
/* msg =   4814, deg =  6 */   4991,   6140,   8295,  12532,  14216,  16484, 
/* msg =   4815, deg =  6 */    747,   4435,   4445,  12509,  13353,  16870, 
/* msg =   4816, deg =  6 */   3843,   4585,   7989,  11184,  12225,  19890, 
/* msg =   4817, deg =  6 */    454,   4393,   5791,  11337,  15287,  17977, 
/* msg =   4818, deg =  6 */   1961,   8809,   9610,  11902,  13326,  17202, 
/* msg =   4819, deg =  6 */   4568,   4708,   6282,  10198,  11630,  15418, 
/* msg =   4820, deg =  6 */   1313,   5457,   9480,  10513,  11939,  19551, 
/* msg =   4821, deg =  6 */   6824,   7710,   9040,  11270,  12132,  16799, 
/* msg =   4822, deg =  6 */    958,   4661,   6681,  14951,  18798,  19519, 
/* msg =   4823, deg =  6 */   4058,   4428,   6006,  13268,  13388,  18093, 
/* msg =   4824, deg =  6 */   4476,   7095,   7444,  14423,  16183,  19484, 
/* msg =   4825, deg =  6 */   5385,   6839,   6845,  11595,  15941,  18795, 
/* msg =   4826, deg =  6 */    636,    741,   7978,  13421,  13423,  18851, 
/* msg =   4827, deg =  6 */   4383,   4385,   5539,  12284,  12730,  12780, 
/* msg =   4828, deg =  6 */   4321,   8494,   9712,  11854,  15919,  16217, 
/* msg =   4829, deg =  6 */   2202,   4377,   7528,  10837,  11187,  18493, 
/* msg =   4830, deg =  6 */   3525,   3646,   3786,  13150,  14997,  18158, 
/* msg =   4831, deg =  6 */   2940,   4710,   8621,  10938,  12656,  17687, 
/* msg =   4832, deg =  6 */   7553,   9335,   9412,  14483,  16236,  16788, 
/* msg =   4833, deg =  6 */   1617,   7889,   9986,  12184,  13733,  18349, 
/* msg =   4834, deg =  6 */   6988,   9059,   9558,  12367,  12540,  14096, 
/* msg =   4835, deg =  6 */   3270,   6828,   9289,  10432,  15989,  19445, 
/* msg =   4836, deg =  6 */   2248,   5028,   6546,  10355,  11506,  18075, 
/* msg =   4837, deg =  6 */    244,    485,   7860,  17198,  17531,  19057, 
/* msg =   4838, deg =  6 */   3368,   8763,   9272,  12393,  15290,  18908, 
/* msg =   4839, deg =  6 */   4600,   7919,   9736,  12605,  15609,  16283, 
/* msg =   4840, deg =  6 */    471,   7648,   7750,  11096,  16090,  16166, 
/* msg =   4841, deg =  6 */    705,   2723,   3314,  12440,  17835,  18490, 
/* msg =   4842, deg =  6 */    808,   6388,   6424,  15136,  17908,  18514, 
/* msg =   4843, deg =  6 */   3076,   5875,   6443,  12520,  15041,  17824, 
/* msg =   4844, deg =  6 */   3136,   7636,   8542,  10477,  12576,  15652, 
/* msg =   4845, deg =  6 */   2310,   6319,   8935,  12877,  14250,  17329, 
/* msg =   4846, deg =  6 */    459,   4298,   5265,  14919,  18948,  19025, 
/* msg =   4847, deg =  6 */   1301,   6344,   6986,  10106,  16531,  17529, 
/* msg =   4848, deg =  6 */    212,   4258,   6737,  12594,  13075,  17041, 
/* msg =   4849, deg =  6 */   1035,   2233,   7578,  12044,  14469,  18700, 
/* msg =   4850, deg =  6 */   3428,   6937,   9425,  12802,  17186,  17691, 
/* msg =   4851, deg =  6 */   4412,   4622,   5968,  12036,  12354,  13610, 
/* msg =   4852, deg =  6 */   2776,   3880,   4917,  14121,  16528,  17486, 
/* msg =   4853, deg =  6 */   3199,   5668,   6232,  11700,  15364,  17230, 
/* msg =   4854, deg =  6 */   1870,   4258,   5515,  11893,  15820,  17195, 
/* msg =   4855, deg =  6 */   8220,   8222,   9710,  12631,  18435,  18918, 
/* msg =   4856, deg =  6 */   5073,   5422,   9987,  14611,  16293,  17530, 
/* msg =   4857, deg =  6 */   1383,   4420,   8267,  16294,  19288,  19780, 
/* msg =   4858, deg =  6 */   1273,   7332,   8199,  11286,  12183,  16441, 
/* msg =   4859, deg =  6 */   6307,   6645,   7605,  13382,  16496,  17011, 
/* msg =   4860, deg =  6 */   2165,   4601,   4724,  15693,  17391,  18145, 
/* msg =   4861, deg =  6 */   4734,   5500,   9644,  13228,  19710,  19905, 
/* msg =   4862, deg =  6 */   1394,   8270,   9654,  11051,  11509,  16487, 
/* msg =   4863, deg =  6 */   1600,   2809,   2941,  13763,  16598,  17678, 
/* msg =   4864, deg =  6 */   1598,   3536,   8270,  12035,  15522,  17294, 
/* msg =   4865, deg =  6 */   1150,   1958,   3846,  10667,  11315,  13227, 
/* msg =   4866, deg =  6 */    693,   5277,   9530,  10280,  12750,  14819, 
/* msg =   4867, deg =  6 */   3129,   3834,   6552,  10681,  11239,  16360, 
/* msg =   4868, deg =  6 */   2225,   3964,   5210,  12268,  16318,  18659, 
/* msg =   4869, deg =  6 */   3372,   3603,   6181,  15730,  16800,  19739, 
/* msg =   4870, deg =  6 */   1968,   2146,   2676,  10008,  13366,  17169, 
/* msg =   4871, deg =  6 */   1106,   2290,   8516,  10880,  12110,  13523, 
/* msg =   4872, deg =  6 */   1283,   2775,   3774,  12434,  15227,  19526, 
/* msg =   4873, deg =  6 */   4131,   5174,   9075,  10816,  13527,  15938, 
/* msg =   4874, deg =  6 */   1814,   6280,   7800,  13122,  14830,  18404, 
/* msg =   4875, deg =  6 */   1103,   5921,   7336,  12798,  16256,  16860, 
/* msg =   4876, deg =  6 */    454,   1082,   9233,  11201,  14002,  15317, 
/* msg =   4877, deg =  6 */   4961,   5344,   9638,  12292,  13616,  16240, 
/* msg =   4878, deg =  6 */   3159,   9582,   9599,  12968,  13562,  15492, 
/* msg =   4879, deg =  6 */   1292,   2073,   5019,  12309,  14072,  17263, 
/* msg =   4880, deg =  6 */   5700,   6293,   7380,  10035,  12516,  13721, 
/* msg =   4881, deg =  6 */   4952,   7885,   8231,  10962,  12637,  12658, 
/* msg =   4882, deg =  6 */    530,   7237,   9873,  12124,  15367,  18310, 
/* msg =   4883, deg =  6 */   6171,   6941,   9381,  12731,  13001,  17232, 
/* msg =   4884, deg =  6 */   3462,   8723,   9214,  11166,  11970,  17472, 
/* msg =   4885, deg =  6 */   3112,   3203,   3866,  11890,  12070,  12153, 
/* msg =   4886, deg =  6 */   2423,   7528,   8188,  11758,  18961,  19454, 
/* msg =   4887, deg =  6 */   7587,   8721,   8983,  11529,  16219,  18576, 
/* msg =   4888, deg =  6 */   3701,   4175,   4914,  10575,  16886,  17380, 
/* msg =   4889, deg =  6 */   4740,   6076,   8775,  17718,  18935,  19662, 
/* msg =   4890, deg =  6 */   1274,   4229,   7206,  14323,  14746,  15703, 
/* msg =   4891, deg =  6 */   1604,   5393,   8435,  10635,  11536,  14945, 
/* msg =   4892, deg =  6 */   3796,   4206,   5378,  12767,  17037,  18367, 
/* msg =   4893, deg =  6 */   4290,   4398,   9880,  13071,  15176,  18882, 
/* msg =   4894, deg =  6 */   1681,   7214,   8764,  13151,  17286,  19469, 
/* msg =   4895, deg =  6 */   2974,   3234,   6731,  14131,  15274,  16994, 
/* msg =   4896, deg =  6 */   7655,   9360,   9832,  11575,  15613,  17218, 
/* msg =   4897, deg =  6 */    503,   1336,   8438,  13533,  14542,  19030, 
/* msg =   4898, deg =  6 */    632,   1772,   2639,  13300,  16225,  18942, 
/* msg =   4899, deg =  6 */   1283,   3685,   8670,  14076,  15373,  17749, 
/* msg =   4900, deg =  6 */    140,   4061,   9259,  13347,  15213,  18827, 
/* msg =   4901, deg =  6 */    947,   2719,   8114,  11441,  12254,  14653, 
/* msg =   4902, deg =  6 */   5123,   6366,   7199,  14374,  15608,  16629, 
/* msg =   4903, deg =  6 */   1719,   1721,   3499,  10689,  14315,  15775, 
/* msg =   4904, deg =  6 */   1449,   2434,   8898,  10168,  11712,  16519, 
/* msg =   4905, deg =  6 */    292,    426,   3068,  12058,  12402,  17450, 
/* msg =   4906, deg =  6 */    762,   4057,   4690,  14157,  14765,  19953, 
/* msg =   4907, deg =  6 */    632,    991,   7884,  11230,  13317,  14670, 
/* msg =   4908, deg =  6 */   1021,   3834,   6996,  12560,  14992,  18715, 
/* msg =   4909, deg =  6 */   1162,   1657,   8947,  10173,  13606,  13953, 
/* msg =   4910, deg =  6 */   1899,   3612,   5046,  16357,  18154,  18707, 
/* msg =   4911, deg =  6 */    715,   4121,   5482,  15632,  17030,  17299, 
/* msg =   4912, deg =  6 */   1875,   1978,   3035,  11685,  19573,  19701, 
/* msg =   4913, deg =  6 */   3317,   3918,   8512,  14268,  15470,  17651, 
/* msg =   4914, deg =  6 */    691,    955,   8330,  11912,  14404,  18574, 
/* msg =   4915, deg =  6 */   3263,   5668,   6261,  13743,  15719,  18766, 
/* msg =   4916, deg =  6 */   1268,   4602,   7308,  10002,  19205,  19676, 
/* msg =   4917, deg =  6 */   3939,   4352,   4354,  15567,  16663,  19072, 
/* msg =   4918, deg =  6 */    694,   4897,   8984,  13841,  15239,  19546, 
/* msg =   4919, deg =  6 */   2296,   3635,   8233,  12598,  16391,  17856, 
/* msg =   4920, deg =  6 */   1515,   2226,   7901,  18631,  19362,  19481, 
/* msg =   4921, deg =  6 */   1206,   1381,   5431,  11079,  11213,  14322, 
/* msg =   4922, deg =  6 */   5315,   6408,   9336,  14339,  18452,  18954, 
/* msg =   4923, deg =  6 */    688,   4456,   6089,  14504,  19168,  19744, 
/* msg =   4924, deg =  6 */   2126,   4670,   6247,  10562,  15994,  17375, 
/* msg =   4925, deg =  6 */   3004,   5322,   7418,  10222,  10349,  14539, 
/* msg =   4926, deg =  6 */   3341,   6929,   8092,  14694,  17314,  19632, 
/* msg =   4927, deg =  6 */   2323,   7988,   9881,  12699,  13509,  14409, 
/* msg =   4928, deg =  6 */    190,   1264,   2898,  10628,  11496,  11947, 
/* msg =   4929, deg =  6 */   2591,   6122,   7815,  12086,  12781,  13909, 
/* msg =   4930, deg =  6 */   2356,   2872,   9423,  14264,  14903,  19385, 
/* msg =   4931, deg =  6 */   4659,   7929,   9166,  10476,  15953,  16173, 
/* msg =   4932, deg =  6 */   4072,   6530,   8973,  10709,  14397,  19637, 
/* msg =   4933, deg =  6 */   5635,   5637,   9517,  19165,  19468,  19518, 
/* msg =   4934, deg =  6 */    182,   6854,   8055,  15399,  18136,  18863, 
/* msg =   4935, deg =  6 */    133,    221,   8047,  11297,  13911,  16586, 
/* msg =   4936, deg =  6 */   1406,   3906,   6744,  11092,  11282,  17855, 
/* msg =   4937, deg =  6 */   3110,   7578,   9433,  18198,  19597,  19774, 
/* msg =   4938, deg =  6 */   3673,   8282,   9176,  15696,  18135,  19461, 
/* msg =   4939, deg =  6 */   2353,   4246,   9088,  10016,  11984,  12813, 
/* msg =   4940, deg =  6 */    894,   2898,   5125,  10694,  15939,  19452, 
/* msg =   4941, deg =  6 */    603,   5709,   6623,  10826,  15338,  16363, 
/* msg =   4942, deg =  6 */   3915,   7151,   8564,  14709,  19226,  19742, 
/* msg =   4943, deg =  6 */   3781,   5183,   6206,  12609,  15657,  18180, 
/* msg =   4944, deg =  6 */   1832,   2244,   3826,  14277,  15221,  19094, 
/* msg =   4945, deg =  6 */   2522,   3340,   9715,  14947,  14973,  16458, 
/* msg =   4946, deg =  6 */    361,   1834,   4137,  13587,  13781,  17843, 
/* msg =   4947, deg =  6 */   1534,   5534,   8304,  10786,  16093,  16883, 
/* msg =   4948, deg =  6 */    475,   4447,   8681,  11180,  18052,  18321, 
/* msg =   4949, deg =  6 */   5937,   7374,   9445,  12893,  17171,  19032, 
/* msg =   4950, deg =  6 */   3085,   4586,   6890,  11952,  12312,  13413, 
/* msg =   4951, deg =  6 */    459,   3804,   9327,  14286,  17847,  19722, 
/* msg =   4952, deg =  6 */   3472,   3573,   7547,  10949,  11645,  19672, 
/* msg =   4953, deg =  6 */   2516,   4960,   8439,  11157,  16796,  19239, 
/* msg =   4954, deg =  6 */   1536,   2309,   4639,  10191,  11225,  15461, 
/* msg =   4955, deg =  6 */   5358,   6775,   7148,  11527,  12832,  15071, 
/* msg =   4956, deg =  6 */   1421,   4941,   8169,  14487,  15021,  15190, 
/* msg =   4957, deg =  6 */   1121,   6258,   9621,  10726,  16144,  16335, 
/* msg =   4958, deg =  6 */   1374,   3002,   3482,  13106,  14133,  14229, 
/* msg =   4959, deg =  6 */   1754,   3252,   7503,  15986,  17114,  19056, 
/* msg =   4960, deg =  6 */   2726,   8018,   8458,  11686,  17392,  17688, 
/* msg =   4961, deg =  6 */   3518,   6250,   7444,  18226,  19252,  19820, 
/* msg =   4962, deg =  6 */   1811,   5755,   6343,  13376,  15288,  15436, 
/* msg =   4963, deg =  6 */   5255,   6973,   9329,  17227,  18310,  19164, 
/* msg =   4964, deg =  6 */   1715,   3741,   4840,  13058,  15804,  19996, 
/* msg =   4965, deg =  6 */   2373,   8101,   9097,  12675,  13868,  19366, 
/* msg =   4966, deg =  6 */   1677,   3537,   4820,  13186,  15112,  19074, 
/* msg =   4967, deg =  6 */   6773,   9018,   9380,  12680,  16972,  18849, 
/* msg =   4968, deg =  6 */    345,   2718,   6614,  14138,  16218,  17461, 
/* msg =   4969, deg =  6 */   1879,   7752,   9571,  10728,  16433,  18529, 
/* msg =   4970, deg =  6 */   2150,   2166,   8284,  10043,  14022,  18732, 
/* msg =   4971, deg =  6 */    347,   2082,   7349,  13223,  14886,  19689, 
/* msg =   4972, deg =  6 */    436,    900,   3355,  10677,  13033,  19433, 
/* msg =   4973, deg =  6 */   1235,   1350,   1418,  10337,  14575,  17585, 
/* msg =   4974, deg =  6 */   4324,   8729,   8893,  15267,  16658,  18202, 
/* msg =   4975, deg =  6 */    716,   5006,   8870,  10362,  14912,  18903, 
/* msg =   4976, deg =  6 */    614,   3787,   8640,  16130,  16286,  19873, 
/* msg =   4977, deg =  6 */    290,    492,   5335,  10594,  13723,  17429, 
/* msg =   4978, deg =  6 */   3511,   6435,   9159,  11055,  15144,  15469, 
/* msg =   4979, deg =  6 */   1885,   3794,   5512,  12525,  17023,  19065, 
/* msg =   4980, deg =  6 */   7171,   8499,   8830,  11616,  19035,  19632, 
/* msg =   4981, deg =  6 */   1396,   4953,   5633,  13004,  14182,  15296, 
/* msg =   4982, deg =  6 */   5387,   7713,   7908,  11023,  13045,  18616, 
/* msg =   4983, deg =  6 */   4924,   8526,   9271,  12020,  12671,  13683, 
/* msg =   4984, deg =  6 */   2342,   2421,   4515,  10052,  11096,  13228, 
/* msg =   4985, deg =  6 */   1735,   4322,   5979,  11745,  12141,  13466, 
/* msg =   4986, deg =  6 */   3131,   3520,   9441,  10463,  15624,  19989, 
/* msg =   4987, deg =  6 */    521,   1581,   3766,  11896,  13184,  19531, 
/* msg =   4988, deg =  6 */    165,   3673,   8305,  14548,  16461,  19222, 
/* msg =   4989, deg =  6 */   1407,   7592,   9043,  14942,  15732,  16906, 
/* msg =   4990, deg =  6 */   1746,   5187,   7113,  10168,  17232,  18741, 
/* msg =   4991, deg =  6 */   6101,   7315,   9167,  14879,  16933,  18227, 
/* msg =   4992, deg =  6 */   4414,   8076,   9455,  12067,  16898,  18050, 
/* msg =   4993, deg =  6 */   4749,   5495,   8875,  12360,  17559,  18213, 
/* msg =   4994, deg =  6 */   1992,   9047,   9697,  11169,  11632,  16880, 
/* msg =   4995, deg =  6 */   1635,   5545,   9265,  11643,  16896,  19151, 
/* msg =   4996, deg =  6 */   3814,   4046,   9280,  11747,  13765,  19630, 
/* msg =   4997, deg =  6 */   2972,   7950,   9468,  10118,  10853,  13471, 
/* msg =   4998, deg =  6 */   3255,   5562,   8670,  17001,  18940,  19008, 
/* msg =   4999, deg =  6 */   3199,   5629,   8149,  10619,  11266,  18922, 
/* msg =   5000, deg =  6 */    659,   8207,   9609,  12341,  17000,  18681, 
/* msg =   5001, deg =  6 */   5746,   7053,   7435,  11354,  11683,  15937, 
/* msg =   5002, deg =  6 */    809,   7727,   7963,  11585,  15503,  18211, 
/* msg =   5003, deg =  6 */   3690,   5301,   6879,  10720,  12464,  17329, 
/* msg =   5004, deg =  6 */   3902,   4876,   8038,  14308,  16592,  17388, 
/* msg =   5005, deg =  6 */   7118,   7309,   7346,  11253,  14850,  15235, 
/* msg =   5006, deg =  6 */   2480,   4614,   4742,  10427,  11213,  16174, 
/* msg =   5007, deg =  6 */   4238,   5172,   5614,  10060,  13194,  19651, 
/* msg =   5008, deg =  6 */     14,   3698,   4257,  13819,  14213,  19831, 
/* msg =   5009, deg =  6 */   1789,   2901,   4237,  10008,  14210,  17931, 
/* msg =   5010, deg =  6 */   5558,   7968,   9166,  15250,  15985,  19529, 
/* msg =   5011, deg =  6 */    549,   3205,   4968,  11375,  19575,  19577, 
/* msg =   5012, deg =  6 */    820,   3011,   5576,  10583,  10971,  11963, 
/* msg =   5013, deg =  6 */   6088,   7073,   9715,  10444,  15081,  19088, 
/* msg =   5014, deg =  6 */   2261,   5891,   6962,  10022,  17265,  18374, 
/* msg =   5015, deg =  6 */    201,   2786,   3728,  10905,  14998,  15122, 
/* msg =   5016, deg =  6 */   4529,   7191,   8300,  14222,  17009,  19293, 
/* msg =   5017, deg =  6 */   2113,   2331,   7343,  11361,  11658,  14105, 
/* msg =   5018, deg =  6 */   4112,   6363,   7404,  11371,  15623,  17647, 
/* msg =   5019, deg =  6 */    692,   8508,   8965,  11490,  11663,  16200, 
/* msg =   5020, deg =  6 */    187,   2570,   8559,  10830,  13376,  14833, 
/* msg =   5021, deg =  6 */   4728,   4916,   8372,  15772,  15944,  16184, 
/* msg =   5022, deg =  6 */   2238,   3523,   3821,  12138,  13713,  18931, 
/* msg =   5023, deg =  6 */    139,   1392,   9406,  16936,  19655,  19825, 
/* msg =   5024, deg =  6 */    720,   1027,   9318,  12938,  16202,  17960, 
/* msg =   5025, deg =  6 */   5548,   7103,   8678,  14009,  15088,  18643, 
/* msg =   5026, deg =  6 */   1501,   5325,   9772,  11321,  13663,  19866, 
/* msg =   5027, deg =  6 */   4915,   5156,   6841,  10332,  17242,  19051, 
/* msg =   5028, deg =  6 */   7026,   8094,   9000,  11867,  13250,  18641, 
/* msg =   5029, deg =  6 */   1960,   4963,   8945,  13066,  13272,  16365, 
/* msg =   5030, deg =  6 */    883,   1952,   2965,  15753,  17495,  17608, 
/* msg =   5031, deg =  6 */   2838,   6001,   7712,  15146,  16498,  16623, 
/* msg =   5032, deg =  6 */    491,   3025,   8953,  13119,  16326,  17726, 
/* msg =   5033, deg =  6 */    430,   2427,   6193,  16847,  18196,  19958, 
/* msg =   5034, deg =  6 */   5315,   8116,   8249,  15107,  18486,  19977, 
/* msg =   5035, deg =  6 */   4075,   5013,   5315,  12332,  12845,  14902, 
/* msg =   5036, deg =  6 */    638,   3645,   7705,  11255,  14506,  17652, 
/* msg =   5037, deg =  6 */   5737,   7524,   9386,  12247,  13944,  17426, 
/* msg =   5038, deg =  6 */   3979,   7563,   8343,  10899,  10983,  19763, 
/* msg =   5039, deg =  6 */   4296,   6206,   8647,  10099,  10113,  11706, 
/* msg =   5040, deg =  6 */    582,   2709,   7011,  14854,  15601,  19071, 
/* msg =   5041, deg =  6 */    104,   2270,   9937,  12063,  15092,  18133, 
/* msg =   5042, deg =  6 */    119,    426,   1480,  11023,  17656,  18626, 
/* msg =   5043, deg =  6 */    780,   4940,   6963,  13719,  14156,  14170, 
/* msg =   5044, deg =  6 */    199,   1912,   4440,  12221,  15553,  19753, 
/* msg =   5045, deg =  6 */   5860,   7706,   8545,  15683,  19759,  19776, 
/* msg =   5046, deg =  6 */   5384,   5974,   8158,  10319,  17765,  19413, 
/* msg =   5047, deg =  6 */    891,   2157,   9544,  11541,  13646,  17908, 
/* msg =   5048, deg =  6 */    456,   2218,   3583,  15563,  17596,  19825, 
/* msg =   5049, deg =  6 */   1649,   5837,   8865,  10279,  18403,  19073, 
/* msg =   5050, deg =  6 */   3668,   6672,   9693,  11335,  13494,  19843, 
/* msg =   5051, deg =  6 */   2623,   5278,   8995,  11014,  12653,  18510, 
/* msg =   5052, deg =  6 */   2459,   4029,   9123,  13748,  14768,  15474, 
/* msg =   5053, deg =  6 */   3158,   5930,   9022,  11160,  13692,  16229, 
/* msg =   5054, deg =  6 */    523,    803,   7112,  14410,  16692,  18886, 
/* msg =   5055, deg =  6 */   2096,   5613,   6330,  10235,  10854,  16021, 
/* msg =   5056, deg =  6 */    632,   6188,   7328,  14091,  14548,  18685, 
/* msg =   5057, deg =  6 */   1565,   3119,   7333,  12786,  17369,  18438, 
/* msg =   5058, deg =  6 */   1031,   4733,   7926,  10639,  11881,  19733, 
/* msg =   5059, deg =  6 */   5596,   7692,   8836,  14103,  14789,  16188, 
/* msg =   5060, deg =  6 */    164,   3671,   6427,  14054,  17785,  19497, 
/* msg =   5061, deg =  6 */     36,   4812,   8961,  11492,  11755,  13306, 
/* msg =   5062, deg =  6 */    609,   3791,   4327,  12288,  13137,  15865, 
/* msg =   5063, deg =  6 */   1902,   7795,   8617,  10529,  15915,  18752, 
/* msg =   5064, deg =  6 */     38,   1737,   8147,  12822,  19148,  19432, 
/* msg =   5065, deg =  6 */   2162,   3558,   9588,  10923,  12088,  16932, 
/* msg =   5066, deg =  6 */   3750,   4432,   7533,  15832,  17197,  18270, 
/* msg =   5067, deg =  6 */   1822,   2869,   6169,  14398,  14658,  17268, 
/* msg =   5068, deg =  6 */   1760,   2635,   7912,  10707,  14602,  16207, 
/* msg =   5069, deg =  6 */   6787,   7522,   8500,  10064,  15001,  17618, 
/* msg =   5070, deg =  6 */   6069,   8104,   8441,  10465,  14554,  16593, 
/* msg =   5071, deg =  6 */    672,   3175,   3764,  15030,  16181,  17886, 
/* msg =   5072, deg =  6 */   1256,   4530,   7996,  13819,  15760,  15800, 
/* msg =   5073, deg =  6 */    600,   8288,   9811,  13708,  16804,  18448, 
/* msg =   5074, deg =  6 */   3559,   7910,   8007,  12698,  13659,  17177, 
/* msg =   5075, deg =  6 */   2735,   4917,   9608,  10177,  13397,  18695, 
/* msg =   5076, deg =  6 */    241,    452,   5061,  13159,  17696,  18206, 
/* msg =   5077, deg =  6 */    250,   2853,   9379,  12341,  15582,  17732, 
/* msg =   5078, deg =  6 */   2020,   2342,   3843,  12921,  15927,  19232, 
/* msg =   5079, deg =  6 */   3138,   5049,   9183,  10174,  10745,  14532, 
/* msg =   5080, deg =  6 */   7109,   7295,   9150,  13629,  14500,  15327, 
/* msg =   5081, deg =  6 */   1258,   3303,   4357,  12266,  17037,  19980, 
/* msg =   5082, deg =  6 */   2953,   5330,   8970,  12974,  14879,  17961, 
/* msg =   5083, deg =  6 */   2002,   4109,   9507,  18718,  19183,  19531, 
/* msg =   5084, deg =  6 */   4900,   7040,   9119,  11906,  12271,  12784, 
/* msg =   5085, deg =  6 */   1980,   8368,   9687,  10580,  17657,  17789, 
/* msg =   5086, deg =  6 */   2933,   3982,   8792,  15467,  15699,  19818, 
/* msg =   5087, deg =  6 */   1570,   2264,   5428,  12873,  15876,  16252, 
/* msg =   5088, deg =  6 */   1338,   1408,   3438,  12064,  12204,  15119, 
/* msg =   5089, deg =  6 */   2606,   3684,   5703,  10795,  12990,  19617, 
/* msg =   5090, deg =  6 */   1915,   4284,   5186,  10265,  11866,  16958, 
/* msg =   5091, deg =  6 */   3522,   4898,   7695,  10533,  15902,  16203, 
/* msg =   5092, deg =  6 */    300,   1755,   7749,  11398,  11511,  12558, 
/* msg =   5093, deg =  6 */    260,   4399,   5439,  12323,  14335,  14357, 
/* msg =   5094, deg =  6 */     44,    385,   9695,  14192,  14832,  16314, 
/* msg =   5095, deg =  6 */   4106,   4695,   6677,  11424,  11725,  15892, 
/* msg =   5096, deg =  6 */   2341,   2549,   5241,  12959,  18062,  19400, 
/* msg =   5097, deg =  6 */    454,    679,   6707,  10822,  16303,  17373, 
/* msg =   5098, deg =  6 */    978,   6798,   8907,  12012,  12796,  15774, 
/* msg =   5099, deg =  6 */   1201,   7066,   8374,  10716,  13473,  15101, 
/* msg =   5100, deg =  6 */   4659,   5145,   7868,  16269,  18761,  19816, 
/* msg =   5101, deg =  6 */    197,   3132,   7346,  11633,  11891,  12232, 
/* msg =   5102, deg =  6 */   2882,   3522,   4350,  11651,  12871,  18354, 
/* msg =   5103, deg =  6 */    123,   2567,   7865,  13812,  16196,  16791, 
/* msg =   5104, deg =  6 */   1634,   3122,   6437,  11509,  14795,  16930, 
/* msg =   5105, deg =  6 */    771,   3205,   6083,  12356,  14028,  15711, 
/* msg =   5106, deg =  6 */    778,   7759,   9233,  12391,  13969,  16856, 
/* msg =   5107, deg =  6 */    410,   4286,   7711,  16989,  17066,  18971, 
/* msg =   5108, deg =  6 */    627,   2611,   6862,  14847,  17487,  18381, 
/* msg =   5109, deg =  6 */   3543,   9389,   9697,  12780,  15446,  19942, 
/* msg =   5110, deg =  6 */   1211,   4690,   9125,  13589,  18005,  19325, 
/* msg =   5111, deg =  6 */   1355,   4504,   4903,  12324,  14751,  17118, 
/* msg =   5112, deg =  6 */     14,    594,   5584,  14222,  16110,  17810, 
/* msg =   5113, deg =  6 */    194,   8695,   8889,  13650,  17854,  18840, 
/* msg =   5114, deg =  6 */   1605,   4229,   8379,  11594,  15512,  19129, 
/* msg =   5115, deg =  6 */   1979,   3131,   6071,  10925,  14610,  18687, 
/* msg =   5116, deg =  6 */   3475,   6949,   8555,  12077,  15071,  15314, 
/* msg =   5117, deg =  6 */    833,   2629,   3103,  11355,  12630,  13064, 
/* msg =   5118, deg =  6 */   1946,   3419,   7519,  10313,  15799,  18625, 
/* msg =   5119, deg =  6 */    304,   6772,   7364,  11875,  16681,  18055, 
/* msg =   5120, deg =  6 */   2505,   2710,   2944,  10851,  12243,  16106, 
/* msg =   5121, deg =  6 */    606,   2531,   6673,  11482,  14160,  17959, 
/* msg =   5122, deg =  6 */    559,   2079,   5782,  10865,  12623,  15487, 
/* msg =   5123, deg =  6 */   3899,   4249,   4350,  12170,  12569,  16203, 
/* msg =   5124, deg =  6 */   1833,   2074,   4041,  15130,  15291,  15728, 
/* msg =   5125, deg =  6 */   2609,   2717,   3864,  13121,  16716,  17595, 
/* msg =   5126, deg =  6 */   1379,   1473,   7110,  15615,  16159,  17526, 
/* msg =   5127, deg =  6 */   7175,   7826,   9733,  13138,  13243,  19654, 
/* msg =   5128, deg =  6 */    982,   2558,   8079,  10990,  12964,  14915, 
/* msg =   5129, deg =  6 */    768,   2999,   6464,  15943,  16453,  19420, 
/* msg =   5130, deg =  6 */    621,   4048,   5702,  14577,  17483,  17624, 
/* msg =   5131, deg =  6 */    364,   3812,   8335,  11646,  12786,  15632, 
/* msg =   5132, deg =  6 */    927,   6763,   8421,  11148,  14479,  15134, 
/* msg =   5133, deg =  6 */   3178,   7223,   9237,  10017,  16946,  18216, 
/* msg =   5134, deg =  6 */   4754,   7497,   8311,  10676,  19294,  19520, 
/* msg =   5135, deg =  6 */   2908,   5527,   7502,  16221,  17120,  19050, 
/* msg =   5136, deg =  6 */    509,   3309,   4248,  13570,  13918,  14489, 
/* msg =   5137, deg =  6 */   2513,   3952,   6915,  11845,  16057,  16699, 
/* msg =   5138, deg =  6 */   4011,   6094,   9755,  10068,  16620,  18075, 
/* msg =   5139, deg =  6 */    784,   1455,   8018,  11331,  15300,  16265, 
/* msg =   5140, deg =  6 */   1386,   2863,   4590,  11775,  18361,  19535, 
/* msg =   5141, deg =  6 */   4457,   6794,   8390,  12864,  15959,  16411, 
/* msg =   5142, deg =  6 */   5106,   5137,   9673,  11405,  14312,  19650, 
/* msg =   5143, deg =  6 */    356,   2899,   5144,  12092,  16298,  17042, 
/* msg =   5144, deg =  6 */    471,   2475,   4569,  14484,  14691,  19431, 
/* msg =   5145, deg =  6 */   3080,   6308,   7380,  12900,  15183,  17518, 
/* msg =   5146, deg =  6 */    715,   2312,   6815,  11932,  14853,  19571, 
/* msg =   5147, deg =  6 */    619,   7946,   8945,  10126,  11718,  15438, 
/* msg =   5148, deg =  6 */   1761,   4040,   5719,  11121,  13081,  15766, 
/* msg =   5149, deg =  6 */   2933,   5120,   5377,  10845,  13761,  15658, 
/* msg =   5150, deg =  6 */    515,   5754,   7015,  12695,  14332,  16300, 
/* msg =   5151, deg =  6 */    535,   7560,   8407,  10192,  14949,  19952, 
/* msg =   5152, deg =  6 */   2377,   3703,   6746,  11320,  19366,  19950, 
/* msg =   5153, deg =  6 */   3276,   7725,   8860,  12183,  12620,  18459, 
/* msg =   5154, deg =  6 */   2947,   8353,   8736,  10851,  13398,  14163, 
/* msg =   5155, deg =  6 */   4685,   8682,   9885,  12913,  14821,  15718, 
/* msg =   5156, deg =  6 */   7121,   7813,   9090,  11282,  18780,  19301, 
/* msg =   5157, deg =  6 */    324,    879,   3601,  11180,  13538,  17171, 
/* msg =   5158, deg =  6 */   1533,   6722,   9712,  11015,  14990,  18210, 
/* msg =   5159, deg =  6 */   5656,   8489,   9974,  13294,  13966,  19767, 
/* msg =   5160, deg =  6 */   4227,   5352,   8738,  13039,  15853,  18344, 
/* msg =   5161, deg =  6 */   4898,   6215,   7612,  16672,  16996,  17878, 
/* msg =   5162, deg =  6 */   1747,   8138,   8613,  18554,  19171,  19175, 
/* msg =   5163, deg =  6 */   3466,   4565,   7467,  11636,  12658,  18663, 
/* msg =   5164, deg =  6 */   2783,   7201,   9511,  12587,  14885,  15341, 
/* msg =   5165, deg =  6 */   7710,   7856,   9340,  12712,  13528,  18549, 
/* msg =   5166, deg =  6 */   2388,   5609,   6822,  12178,  14151,  14384, 
/* msg =   5167, deg =  6 */   5134,   6141,   8636,  11617,  16097,  19942, 
/* msg =   5168, deg =  6 */   7271,   8371,   9750,  14829,  16160,  17675, 
/* msg =   5169, deg =  6 */   1197,   2532,   7499,  10863,  15589,  17482, 
/* msg =   5170, deg =  6 */    313,   1095,   9016,  11112,  13347,  18845, 
/* msg =   5171, deg =  6 */    897,   2567,   4069,  18187,  19056,  19225, 
/* msg =   5172, deg =  6 */   5946,   6165,   7780,  13627,  16036,  18927, 
/* msg =   5173, deg =  6 */   4884,   8625,   9448,  11897,  16358,  18125, 
/* msg =   5174, deg =  6 */   3912,   6878,   9639,  13952,  14523,  19571, 
/* msg =   5175, deg =  6 */   1137,   3564,   3914,  10187,  14648,  18111, 
/* msg =   5176, deg =  6 */   2511,   3927,   6658,  11263,  11918,  16720, 
/* msg =   5177, deg =  6 */    677,   6274,   7811,  10911,  14762,  19177, 
/* msg =   5178, deg =  6 */    825,   4450,   7269,  13913,  16222,  17047, 
/* msg =   5179, deg =  6 */    678,   1323,   6755,  12822,  16575,  18724, 
/* msg =   5180, deg =  6 */   2580,   2923,   5250,  10241,  13492,  19203, 
/* msg =   5181, deg =  6 */   2034,   5633,   8392,  13542,  15719,  18731, 
/* msg =   5182, deg =  6 */    521,   3301,   5442,  13956,  17801,  19454, 
/* msg =   5183, deg =  6 */   1730,   4019,   8914,  13537,  14959,  17453, 
/* msg =   5184, deg =  6 */   3565,   5823,   9906,  16023,  16122,  19728, 
/* msg =   5185, deg =  6 */   2428,   5468,   9112,  11173,  13668,  13931, 
/* msg =   5186, deg =  6 */   3252,   5694,   9473,  10658,  14311,  19983, 
/* msg =   5187, deg =  6 */   3710,   5819,   6272,  11623,  11691,  17350, 
/* msg =   5188, deg =  6 */   4373,   5678,   6851,  12265,  14248,  14732, 
/* msg =   5189, deg =  6 */     59,   6190,   9086,  12743,  13053,  13951, 
/* msg =   5190, deg =  6 */   1575,   5264,   5971,  10662,  16300,  19224, 
/* msg =   5191, deg =  6 */   5043,   7042,   9742,  13732,  16694,  19633, 
/* msg =   5192, deg =  6 */   5401,   8233,   9859,  16002,  16312,  17446, 
/* msg =   5193, deg =  6 */   3545,   7692,   7961,  10475,  13238,  18910, 
/* msg =   5194, deg =  6 */   4425,   4611,   8924,  10775,  16409,  16780, 
/* msg =   5195, deg =  6 */    271,   1619,   2338,  18590,  18802,  18821, 
/* msg =   5196, deg =  6 */   4468,   6096,   8006,  11137,  11660,  17943, 
/* msg =   5197, deg =  6 */   2466,   5541,   8221,  14387,  16690,  19893, 
/* msg =   5198, deg =  6 */   3063,   4872,   8815,  11300,  12501,  19036, 
/* msg =   5199, deg =  6 */   1207,   5612,   8639,  11851,  12242,  12728, 
/* msg =   5200, deg =  6 */   2539,   2663,   6373,  13484,  16292,  16948, 
/* msg =   5201, deg =  6 */     19,   2419,   5955,  15299,  16490,  16807, 
/* msg =   5202, deg =  6 */   2100,   2782,   9800,  14040,  19246,  19609, 
/* msg =   5203, deg =  6 */     46,   1407,   4461,  13262,  13374,  17193, 
/* msg =   5204, deg =  6 */   1896,   4676,   8346,  13447,  15721,  16441, 
/* msg =   5205, deg =  6 */   2869,   5319,   8486,  12174,  16466,  19334, 
/* msg =   5206, deg =  6 */   2962,   5067,   7424,  11869,  16059,  18151, 
/* msg =   5207, deg =  6 */    205,   2511,   9759,  14462,  14496,  17440, 
/* msg =   5208, deg =  6 */   5361,   6365,   9095,  10786,  14517,  16475, 
/* msg =   5209, deg =  6 */    570,   7800,   8794,  14367,  17260,  17713, 
/* msg =   5210, deg =  6 */   5172,   8205,   9752,  10117,  11658,  18606, 
/* msg =   5211, deg =  6 */   5254,   6462,   8369,  14623,  19163,  19285, 
/* msg =   5212, deg =  6 */   8390,   8631,   9163,  13350,  17034,  17916, 
/* msg =   5213, deg =  6 */    849,   4924,   8286,  10046,  12866,  14661, 
/* msg =   5214, deg =  6 */   1991,   4351,   8398,  11466,  12173,  12990, 
/* msg =   5215, deg =  6 */   3092,   6120,   6942,  13803,  18536,  18775, 
/* msg =   5216, deg =  6 */   1751,   6253,   9285,  11135,  15049,  17827, 
/* msg =   5217, deg =  6 */   3683,   7659,   7755,  13017,  14909,  15303, 
/* msg =   5218, deg =  6 */   1653,   5237,   6455,  14298,  17309,  18884, 
/* msg =   5219, deg =  6 */   2072,   4373,   6156,  11677,  11752,  12419, 
/* msg =   5220, deg =  6 */   2725,   6048,   7939,  10599,  16454,  17454, 
/* msg =   5221, deg =  6 */   1121,   3275,   3702,  10148,  10259,  14774, 
/* msg =   5222, deg =  6 */   5755,   6532,   8742,  14209,  17110,  19903, 
/* msg =   5223, deg =  6 */   5677,   8328,   9945,  10513,  11524,  19411, 
/* msg =   5224, deg =  6 */   2085,   8030,   8941,  13908,  14456,  16079, 
/* msg =   5225, deg =  6 */   1417,   1646,   7869,  10124,  10847,  12109, 
/* msg =   5226, deg =  6 */   1967,   2089,   2598,  10452,  11708,  14399, 
/* msg =   5227, deg =  6 */   5047,   9386,   9857,  11618,  13996,  15462, 
/* msg =   5228, deg =  6 */    885,   4531,   7392,  10400,  12766,  18330, 
/* msg =   5229, deg =  6 */   2878,   4622,   5416,  13520,  13732,  15240, 
/* msg =   5230, deg =  6 */    348,   5992,   6270,  10606,  12060,  12880, 
/* msg =   5231, deg =  6 */   4289,   4634,   8037,  10495,  12162,  18703, 
/* msg =   5232, deg =  6 */   2120,   8023,   8131,  13662,  15902,  18106, 
/* msg =   5233, deg =  6 */   2954,   6293,   8650,  13513,  14212,  16885, 
/* msg =   5234, deg =  6 */    505,   1564,   2658,  11131,  16113,  19209, 
/* msg =   5235, deg =  6 */   2679,   6829,   7899,  12302,  15558,  17136, 
/* msg =   5236, deg =  6 */    959,   1173,   2595,  11810,  14322,  15884, 
/* msg =   5237, deg =  6 */   1486,   4584,   8545,  14324,  14745,  17413, 
/* msg =   5238, deg =  6 */   6189,   8975,   9419,  11161,  11487,  14152, 
/* msg =   5239, deg =  6 */   3422,   6515,   9525,  17568,  17609,  19438, 
/* msg =   5240, deg =  6 */    235,   4814,   5331,  12269,  14668,  17590, 
/* msg =   5241, deg =  6 */   1414,   3663,   7178,  10526,  11309,  14466, 
/* msg =   5242, deg =  6 */   4173,   5467,   9750,  10910,  11005,  18415, 
/* msg =   5243, deg =  6 */    958,   1157,   4004,  15670,  15923,  19041, 
/* msg =   5244, deg =  6 */   3937,   4635,   8599,  13333,  17948,  19357, 
/* msg =   5245, deg =  6 */    538,   4626,   7091,  10546,  12865,  17223, 
/* msg =   5246, deg =  6 */   1205,   9048,   9591,  10422,  10941,  15013, 
/* msg =   5247, deg =  6 */   3743,   6305,   7719,  11007,  15681,  16622, 
/* msg =   5248, deg =  6 */   6004,   6192,   7879,  14169,  15270,  19915, 
/* msg =   5249, deg =  6 */     29,   7588,   9081,  14206,  14371,  16958, 
/* msg =   5250, deg =  6 */   1905,   6141,   7286,  14780,  16328,  16674, 
/* msg =   5251, deg =  6 */    157,   2143,   4809,  12960,  13965,  19759, 
/* msg =   5252, deg =  6 */   2422,   3899,   8616,  14269,  16610,  19183, 
/* msg =   5253, deg =  6 */    464,   4305,   8875,  14558,  16336,  18524, 
/* msg =   5254, deg =  6 */   5725,   6530,   9727,  10612,  11894,  16190, 
/* msg =   5255, deg =  6 */   1743,   1915,   9449,  12225,  13767,  17957, 
/* msg =   5256, deg =  6 */   1243,   4328,   5562,  13704,  13886,  17704, 
/* msg =   5257, deg =  6 */   1768,   7432,   9225,  12509,  12831,  12876, 
/* msg =   5258, deg =  6 */    850,   6509,   8744,  13219,  13797,  14390, 
/* msg =   5259, deg =  6 */    665,   3387,   6975,  12546,  15864,  17218, 
/* msg =   5260, deg =  6 */   3318,   5465,   6355,  11735,  14429,  15445, 
/* msg =   5261, deg =  6 */    480,   3882,   6834,  10105,  15455,  17554, 
/* msg =   5262, deg =  6 */   2495,   4485,   4901,  13693,  15195,  17570, 
/* msg =   5263, deg =  6 */   7297,   8192,   9565,  13345,  18471,  18848, 
/* msg =   5264, deg =  6 */   1462,   3012,   8479,  14383,  14688,  19537, 
/* msg =   5265, deg =  6 */   2589,   4490,   6640,  10106,  16978,  17156, 
/* msg =   5266, deg =  6 */   2711,   6803,   7843,  13533,  13675,  14399, 
/* msg =   5267, deg =  6 */    707,   5463,   7550,  10558,  15901,  18895, 
/* msg =   5268, deg =  6 */    971,   2510,   7333,  14723,  17362,  18885, 
/* msg =   5269, deg =  6 */   2788,   6645,   6732,  10325,  18037,  19567, 
/* msg =   5270, deg =  6 */    162,    549,   1394,  12144,  15117,  16237, 
/* msg =   5271, deg =  6 */   1338,   2490,   8352,  14924,  15005,  16849, 
/* msg =   5272, deg =  6 */   4423,   7229,   9249,  13470,  13605,  16515, 
/* msg =   5273, deg =  6 */    806,   6202,   7741,  10846,  14179,  14203, 
/* msg =   5274, deg =  6 */   1340,   5489,   6488,  10174,  11175,  11439, 
/* msg =   5275, deg =  6 */   4454,   5206,   7070,  15315,  15583,  18018, 
/* msg =   5276, deg =  6 */   3998,   9117,   9848,  11864,  13678,  13778, 
/* msg =   5277, deg =  6 */    840,   3556,   4962,  10805,  12633,  15921, 
/* msg =   5278, deg =  6 */   3527,   7946,   9087,  13249,  17062,  17478, 
/* msg =   5279, deg =  6 */   1214,   5642,   7737,  13046,  18371,  19957, 
/* msg =   5280, deg =  6 */    667,   1410,   8141,  16081,  18051,  18193, 
/* msg =   5281, deg =  6 */   2384,   6035,   7986,  10953,  11204,  11976, 
/* msg =   5282, deg =  6 */   2772,   6298,   9527,  15223,  17910,  18432, 
/* msg =   5283, deg =  6 */   3498,   7408,   8994,  10774,  18665,  19146, 
/* msg =   5284, deg =  6 */    749,   1269,   8418,  11805,  13873,  17841, 
/* msg =   5285, deg =  6 */     23,   2474,   6862,  11195,  15030,  18383, 
/* msg =   5286, deg =  6 */   1796,   5610,   9369,  14917,  16018,  18726, 
/* msg =   5287, deg =  6 */   3582,   3999,   6503,  15441,  18004,  18742, 
/* msg =   5288, deg =  6 */    163,   1299,   8492,  14937,  17064,  17838, 
/* msg =   5289, deg =  6 */   1723,   6561,   7218,  17694,  19335,  19401, 
/* msg =   5290, deg =  6 */    809,    989,   8320,  12023,  13097,  18629, 
/* msg =   5291, deg =  6 */   2438,   6710,   9234,  12095,  19008,  19227, 
/* msg =   5292, deg =  6 */   4377,   6525,   9869,  11484,  15942,  19014, 
/* msg =   5293, deg =  6 */   3995,   6977,   9518,  11763,  13282,  15558, 
/* msg =   5294, deg =  6 */   5411,   5653,   7544,  10829,  16544,  19674, 
/* msg =   5295, deg =  6 */   2348,   8375,   8871,  11730,  12708,  18764, 
/* msg =   5296, deg =  6 */   3983,   4330,   8115,  12102,  15491,  18240, 
/* msg =   5297, deg =  6 */    968,   1626,   5400,  11553,  13737,  16764, 
/* msg =   5298, deg =  6 */    291,   2333,   2376,  13701,  15517,  16548, 
/* msg =   5299, deg =  6 */   7186,   7218,   9463,  10373,  17264,  18004, 
/* msg =   5300, deg =  6 */   1215,   4391,   5977,  10253,  12660,  12985, 
/* msg =   5301, deg =  6 */    607,   2512,   4896,  11156,  11898,  13030, 
/* msg =   5302, deg =  6 */   1451,   3864,   4967,  10787,  12136,  14070, 
/* msg =   5303, deg =  6 */    416,   5105,   6433,  14744,  18906,  19811, 
/* msg =   5304, deg =  6 */    626,   2457,   2987,  10948,  15421,  19650, 
/* msg =   5305, deg =  6 */   6593,   7313,   7448,  10847,  13559,  18985, 
/* msg =   5306, deg =  6 */   2909,   7592,   8578,  10837,  16727,  18856, 
/* msg =   5307, deg =  6 */   3974,   5850,   8666,  13430,  13989,  17545, 
/* msg =   5308, deg =  6 */   1899,   4640,   8419,  10293,  14276,  16422, 
/* msg =   5309, deg =  6 */   6449,   6469,   7786,  11131,  11614,  16029, 
/* msg =   5310, deg =  6 */     60,    952,   3102,  11464,  15085,  17125, 
/* msg =   5311, deg =  6 */   9138,   9228,   9247,  14825,  17513,  19621, 
/* msg =   5312, deg =  6 */   5066,   8082,   9810,  11003,  16750,  18752, 
/* msg =   5313, deg =  6 */   1048,   2578,   3934,  12860,  12911,  18079, 
/* msg =   5314, deg =  6 */   3622,   8503,   9278,  10234,  13464,  17815, 
/* msg =   5315, deg =  6 */   5541,   9381,   9812,  11366,  13939,  19131, 
/* msg =   5316, deg =  6 */   3390,   4055,   5594,  11705,  14617,  17292, 
/* msg =   5317, deg =  6 */    628,   3044,   3163,  10101,  11739,  13577, 
/* msg =   5318, deg =  6 */   6152,   8339,   8471,  10802,  13583,  19093, 
/* msg =   5319, deg =  6 */   1964,   5212,   6066,  14598,  16095,  17756, 
/* msg =   5320, deg =  6 */   2744,   5659,   6928,  12523,  18343,  19127, 
/* msg =   5321, deg =  6 */    841,   3190,   7411,  12313,  17942,  19101, 
/* msg =   5322, deg =  6 */   1043,   2214,   7180,  14045,  16392,  19003, 
/* msg =   5323, deg =  6 */   7985,   8136,   9584,  10878,  11422,  14440, 
/* msg =   5324, deg =  6 */   4643,   8240,   8341,  13422,  14911,  19524, 
/* msg =   5325, deg =  6 */   2608,   3077,   9730,  18231,  18497,  18953, 
/* msg =   5326, deg =  6 */   8005,   8133,   8198,  14851,  15958,  19067, 
/* msg =   5327, deg =  6 */   1524,   4050,   9966,  14241,  14873,  16731, 
/* msg =   5328, deg =  6 */   3473,   6519,   7695,  11118,  17125,  18602, 
/* msg =   5329, deg =  6 */   2159,   4777,   6481,  11695,  15399,  18673, 
/* msg =   5330, deg =  6 */    189,   1206,   9023,  10757,  11258,  11498, 
/* msg =   5331, deg =  6 */   2400,   5950,   7249,  11494,  15653,  17505, 
/* msg =   5332, deg =  6 */   5769,   6460,   8475,  11642,  12532,  16970, 
/* msg =   5333, deg =  6 */   1024,   4143,   6190,  11766,  11875,  18623, 
/* msg =   5334, deg =  6 */    462,    540,   1192,  13570,  14504,  18967, 
/* msg =   5335, deg =  6 */   8168,   8752,   9921,  10356,  10445,  13224, 
/* msg =   5336, deg =  6 */   1269,   2712,   8636,  15935,  17893,  18735, 
/* msg =   5337, deg =  6 */   2032,   4367,   8785,  11031,  11588,  13596, 
/* msg =   5338, deg =  6 */   4746,   5208,   8917,  12770,  13801,  18003, 
/* msg =   5339, deg =  6 */   2090,   4793,   8966,  13339,  15222,  17982, 
/* msg =   5340, deg =  6 */    422,    900,   6906,  10233,  12057,  12304, 
/* msg =   5341, deg =  6 */   5198,   5202,   7355,  13381,  13826,  19703, 
/* msg =   5342, deg =  6 */    773,   5665,   6634,  10470,  13181,  14032, 
/* msg =   5343, deg =  6 */   3242,   5748,   7699,  13089,  14174,  17828, 
/* msg =   5344, deg =  6 */   5537,   8854,   9390,  12165,  12401,  18523, 
/* msg =   5345, deg =  6 */   5437,   7097,   7342,  10121,  11747,  15988, 
/* msg =   5346, deg =  6 */   2044,   2564,   7069,  15854,  18759,  18955, 
/* msg =   5347, deg =  6 */   4184,   4237,   7439,  12587,  14886,  18600, 
/* msg =   5348, deg =  6 */   1670,   2746,   6120,  11406,  15083,  19596, 
/* msg =   5349, deg =  6 */   1132,   1823,   2907,  11884,  13229,  16172, 
/* msg =   5350, deg =  6 */   1937,   4826,   7570,  10019,  12378,  12919, 
/* msg =   5351, deg =  6 */   1527,   3276,   8310,  11574,  19158,  19686, 
/* msg =   5352, deg =  6 */   3089,   6717,   8571,  12773,  16402,  17132, 
/* msg =   5353, deg =  6 */   1619,   7935,   8228,  19302,  19471,  19777, 
/* msg =   5354, deg =  6 */   5511,   5798,   9844,  13431,  14697,  18364, 
/* msg =   5355, deg =  6 */   1641,   3310,   9657,  11237,  13330,  17672, 
/* msg =   5356, deg =  6 */   3651,   7028,   8694,  10103,  10352,  17960, 
/* msg =   5357, deg =  6 */   7973,   8901,   9603,  11815,  17070,  17676, 
/* msg =   5358, deg =  6 */    381,   5608,   9996,  11776,  16723,  19674, 
/* msg =   5359, deg =  6 */   5798,   6008,   7407,  10177,  10902,  14018, 
/* msg =   5360, deg =  6 */   1720,   1956,   9650,  10933,  17963,  18032, 
/* msg =   5361, deg =  6 */   6567,   8559,   9806,  11290,  16975,  19645, 
/* msg =   5362, deg =  6 */   5994,   6102,   6599,  13839,  14082,  17167, 
/* msg =   5363, deg =  6 */    205,   6275,   9982,  12841,  14633,  17420, 
/* msg =   5364, deg =  6 */   1543,   3599,   5742,  10487,  11806,  12018, 
/* msg =   5365, deg =  6 */   1558,   5219,   6879,  10685,  12043,  12252, 
/* msg =   5366, deg =  6 */    106,   7341,   8946,  11276,  11461,  12948, 
/* msg =   5367, deg =  6 */    341,    602,   8288,  11923,  13970,  18057, 
/* msg =   5368, deg =  6 */   3516,   4468,   7202,  11462,  17692,  18372, 
/* msg =   5369, deg =  6 */    102,    735,   4439,  11013,  15941,  18607, 
/* msg =   5370, deg =  6 */   1451,   3927,   4044,  13929,  16354,  17907, 
/* msg =   5371, deg =  6 */   3759,   3960,   9582,  14458,  17076,  17419, 
/* msg =   5372, deg =  6 */   6746,   6794,   8356,  12811,  16335,  19197, 
/* msg =   5373, deg =  6 */   1005,   2410,   6992,  11372,  16676,  19339, 
/* msg =   5374, deg =  6 */   1715,   5114,   9866,  12856,  15245,  18994, 
/* msg =   5375, deg =  6 */   2669,   3895,   6971,  11931,  12734,  14659, 
/* msg =   5376, deg =  6 */   4309,   6215,   9299,  10393,  14957,  18893, 
/* msg =   5377, deg =  6 */    711,   5934,   7602,  12494,  14403,  19092, 
/* msg =   5378, deg =  6 */   2466,   2756,   8988,  12978,  14640,  17604, 
/* msg =   5379, deg =  6 */   5705,   6316,   8409,  13041,  13052,  15091, 
/* msg =   5380, deg =  6 */    298,   5840,   7991,  11401,  13647,  16342, 
/* msg =   5381, deg =  6 */   5698,   6650,   7569,  11485,  11543,  13555, 
/* msg =   5382, deg =  6 */   2612,   4724,   9056,  11983,  13861,  14290, 
/* msg =   5383, deg =  6 */   2265,   4949,   7753,  12805,  17363,  18310, 
/* msg =   5384, deg =  6 */   4847,   6178,   8237,  14773,  18620,  19821, 
/* msg =   5385, deg =  6 */    591,   9203,   9526,  10633,  11356,  17045, 
/* msg =   5386, deg =  6 */   4241,   5470,   8527,  11513,  11552,  19103, 
/* msg =   5387, deg =  6 */   1057,   1469,   2037,  10200,  14968,  15034, 
/* msg =   5388, deg =  6 */   4721,   6055,   7691,  11394,  13139,  19731, 
/* msg =   5389, deg =  6 */   1313,   2621,   6819,  11069,  14775,  17981, 
/* msg =   5390, deg =  6 */   1553,   5203,   7777,  15923,  16281,  17672, 
/* msg =   5391, deg =  6 */   1040,   4635,   7464,  11840,  19493,  19867, 
/* msg =   5392, deg =  6 */   4054,   4984,   9711,  11689,  14135,  19740, 
/* msg =   5393, deg =  6 */   2780,   4451,   4612,  14287,  18820,  19664, 
/* msg =   5394, deg =  6 */    935,   5606,   9464,  14922,  16010,  16423, 
/* msg =   5395, deg =  6 */   1000,   2273,   4604,  11756,  13273,  15922, 
/* msg =   5396, deg =  6 */   1067,   1236,   9975,  11193,  16626,  18281, 
/* msg =   5397, deg =  6 */    325,   2494,   4410,  10360,  11712,  11961, 
/* msg =   5398, deg =  6 */   2024,   2964,   5057,  15066,  16298,  16417, 
/* msg =   5399, deg =  6 */   6902,   7352,   7358,  11642,  15657,  19272, 
/* msg =   5400, deg =  6 */   1995,   2951,   3529,  10621,  15676,  17221, 
/* msg =   5401, deg =  6 */   2399,   4589,   7002,  14946,  16918,  18918, 
/* msg =   5402, deg =  6 */    455,   2696,   3056,  11181,  14556,  17979, 
/* msg =   5403, deg =  6 */    217,   1756,   6077,  12222,  14807,  19406, 
/* msg =   5404, deg =  6 */   1013,   5082,   9897,  11223,  13512,  17110, 
/* msg =   5405, deg =  6 */    988,   4163,   9311,  14650,  14938,  19501, 
/* msg =   5406, deg =  6 */   2714,   7427,   9801,  15312,  17642,  19261, 
/* msg =   5407, deg =  6 */   2453,   8059,   8187,  11795,  13227,  17615, 
/* msg =   5408, deg =  6 */   3789,   6264,   8135,  12046,  12914,  16026, 
/* msg =   5409, deg =  6 */   1559,   7808,   8845,  10426,  12621,  15848, 
/* msg =   5410, deg =  6 */   1159,   1366,   9176,  10317,  15938,  17764, 
/* msg =   5411, deg =  6 */    516,   1010,   4374,  10284,  12863,  14356, 
/* msg =   5412, deg =  6 */   3966,   4937,   6561,  10603,  11941,  15812, 
/* msg =   5413, deg =  6 */   5886,   6432,   8712,  14742,  19318,  19527, 
/* msg =   5414, deg =  6 */   2544,   4743,   8983,  15466,  15975,  19361, 
/* msg =   5415, deg =  6 */    539,   1198,   3422,  10380,  16615,  16865, 
/* msg =   5416, deg =  6 */   2318,   3515,   4807,  16583,  16877,  19077, 
/* msg =   5417, deg =  6 */   4854,   5514,   8433,  11427,  16091,  18163, 
/* msg =   5418, deg =  6 */   2028,   2482,   5507,  10828,  16817,  17477, 
/* msg =   5419, deg =  6 */   2317,   3227,   3323,  11732,  16777,  18433, 
/* msg =   5420, deg =  6 */   2503,   3363,   5116,  10385,  14420,  18409, 
/* msg =   5421, deg =  6 */   2027,   4409,   9193,  10398,  10808,  11291, 
/* msg =   5422, deg =  6 */   1738,   3820,   4335,  11785,  12601,  18247, 
/* msg =   5423, deg =  6 */   5028,   5531,   8755,  10709,  15208,  17441, 
/* msg =   5424, deg =  6 */   3198,   3605,   9608,  11233,  15440,  17737, 
/* msg =   5425, deg =  6 */   2027,   3785,   4528,  16613,  17554,  18691, 
/* msg =   5426, deg =  6 */   1474,   5329,   9887,  10651,  11464,  15665, 
/* msg =   5427, deg =  6 */   1360,   5370,   5833,  12652,  18001,  19013, 
/* msg =   5428, deg =  6 */   1570,   6391,   8724,  10946,  12997,  14352, 
/* msg =   5429, deg =  6 */   1611,   3009,   5075,  12181,  15516,  18885, 
/* msg =   5430, deg =  6 */    109,   4684,   8412,  14280,  19368,  19837, 
/* msg =   5431, deg =  6 */   1099,   5460,   7460,  12051,  13346,  15306, 
/* msg =   5432, deg =  6 */    319,   5581,   9724,  10510,  11159,  11571, 
/* msg =   5433, deg =  6 */   2299,   4368,   9277,  12176,  15499,  16323, 
/* msg =   5434, deg =  6 */   2052,   2273,   8502,  19451,  19524,  19822, 
/* msg =   5435, deg =  6 */   1843,   3816,   7881,  11487,  14463,  19947, 
/* msg =   5436, deg =  6 */   4927,   7222,   9742,  10216,  15518,  18787, 
/* msg =   5437, deg =  6 */    177,    682,   9952,  14803,  17172,  19903, 
/* msg =   5438, deg =  6 */    976,   1430,   8806,  14031,  15516,  17260, 
/* msg =   5439, deg =  6 */   2061,   2160,   9404,  10201,  11085,  19939, 
/* msg =   5440, deg =  6 */    730,   7369,   8615,  11910,  13953,  14822, 
/* msg =   5441, deg =  6 */   7861,   8418,   8933,  10766,  13143,  19950, 
/* msg =   5442, deg =  6 */    544,   2005,   7101,  11040,  12926,  13064, 
/* msg =   5443, deg =  6 */    153,   1031,   3602,  12625,  16916,  18421, 
/* msg =   5444, deg =  6 */   2616,   5102,   6367,  13087,  15009,  15415, 
/* msg =   5445, deg =  6 */   1568,   7387,   9941,  11665,  18391,  18790, 
/* msg =   5446, deg =  6 */   1395,   2260,   9775,  12416,  13578,  19613, 
/* msg =   5447, deg =  6 */   2851,   6642,   8641,  10158,  17443,  19902, 
/* msg =   5448, deg =  6 */   2825,   3390,   8447,  10048,  14426,  18238, 
/* msg =   5449, deg =  6 */   2432,   6277,   7801,  10869,  11981,  17316, 
/* msg =   5450, deg =  6 */   5261,   6425,   8889,  12437,  13883,  15781, 
/* msg =   5451, deg =  6 */   3070,   8134,   9725,  14351,  17649,  19516, 
/* msg =   5452, deg =  6 */   4017,   7298,   9546,  10131,  11274,  14293, 
/* msg =   5453, deg =  6 */   1480,   5600,   7958,  16393,  18745,  19859, 
/* msg =   5454, deg =  6 */   4044,   5023,   8775,  13301,  13671,  17923, 
/* msg =   5455, deg =  6 */   2296,   4998,   5048,  15052,  17825,  19261, 
/* msg =   5456, deg =  6 */   3962,   4971,   6231,  12463,  16984,  17156, 
/* msg =   5457, deg =  6 */   2616,   5055,   9832,  10187,  10339,  12826, 
/* msg =   5458, deg =  6 */   8251,   9564,   9824,  13547,  16115,  19948, 
/* msg =   5459, deg =  6 */    818,   2162,   7898,  12614,  12905,  15095, 
/* msg =   5460, deg =  6 */   1539,   7888,   8025,  10892,  12223,  13398, 
/* msg =   5461, deg =  6 */    115,   3151,   4600,  13028,  14921,  17276, 
/* msg =   5462, deg =  6 */   2202,   3925,   5277,  14215,  15646,  16733, 
/* msg =   5463, deg =  6 */   1495,   2720,   5996,  12683,  15993,  16718, 
/* msg =   5464, deg =  6 */   1688,   2625,   9162,  13005,  15933,  17999, 
/* msg =   5465, deg =  6 */   3302,   9273,   9920,  14547,  14611,  15896, 
/* msg =   5466, deg =  6 */   1740,   5382,   9290,  12365,  13972,  18024, 
/* msg =   5467, deg =  6 */     70,    419,    594,  10762,  12545,  14249, 
/* msg =   5468, deg =  6 */    638,   1936,   9548,  10687,  14100,  19807, 
/* msg =   5469, deg =  6 */   5085,   7701,   8483,  14949,  15360,  19040, 
/* msg =   5470, deg =  6 */    842,   2674,   2935,  10538,  12930,  15442, 
/* msg =   5471, deg =  6 */   1217,   3964,   6843,  11485,  11736,  19952, 
/* msg =   5472, deg =  6 */   4680,   8833,   9745,  11156,  13578,  17492, 
/* msg =   5473, deg =  6 */   2051,   2078,   8656,  11564,  16235,  17068, 
/* msg =   5474, deg =  6 */   3105,   9362,   9789,  10214,  15099,  18891, 
/* msg =   5475, deg =  6 */   5115,   6017,   7128,  13466,  18414,  19161, 
/* msg =   5476, deg =  6 */   3006,   6856,   9229,  14483,  15572,  19854, 
/* msg =   5477, deg =  6 */    277,   1764,   3507,  12146,  17543,  17664, 
/* msg =   5478, deg =  6 */   2169,   3532,   5672,  10329,  13061,  18023, 
/* msg =   5479, deg =  6 */   3164,   5259,   6460,  13240,  15589,  16856, 
/* msg =   5480, deg =  6 */    626,   7049,   9787,  13195,  17241,  17967, 
/* msg =   5481, deg =  6 */   4022,   4443,   5540,  11300,  13546,  18115, 
/* msg =   5482, deg =  6 */    346,   2129,   9643,  10554,  11426,  11706, 
/* msg =   5483, deg =  6 */   6598,   6920,   8899,  12073,  16872,  18531, 
/* msg =   5484, deg =  6 */   3893,   4712,   5982,  15209,  17836,  19519, 
/* msg =   5485, deg =  6 */   7792,   8446,   9390,  11228,  12105,  19127, 
/* msg =   5486, deg =  6 */   2335,   2548,   6020,  12474,  16963,  19602, 
/* msg =   5487, deg =  6 */   2326,   5227,   8479,  10820,  12346,  15465, 
/* msg =   5488, deg =  6 */    195,    213,    857,  10534,  16845,  19302, 
/* msg =   5489, deg =  6 */   1841,   2320,   4257,  13044,  13593,  13888, 
/* msg =   5490, deg =  6 */   1408,   6850,   8904,  17451,  18023,  19817, 
/* msg =   5491, deg =  6 */   2049,   8239,   9962,  14231,  16236,  18137, 
/* msg =   5492, deg =  6 */    499,   5544,   7876,  14962,  15493,  17579, 
/* msg =   5493, deg =  6 */   2205,   4515,   8152,  16602,  18955,  19425, 
/* msg =   5494, deg =  6 */    927,   5138,   8083,  16042,  17143,  17553, 
/* msg =   5495, deg =  6 */   3136,   6389,   7861,  16341,  17179,  18636, 
/* msg =   5496, deg =  6 */   3853,   6311,   6735,  10321,  12154,  19200, 
/* msg =   5497, deg =  6 */   4794,   5479,   7253,  15844,  16373,  17920, 
/* msg =   5498, deg =  6 */   2795,   4643,   6348,  10969,  13746,  19055, 
/* msg =   5499, deg =  6 */   3096,   4017,   4409,  10275,  15502,  18312, 
/* msg =   5500, deg =  6 */   1223,   3669,   5909,  12038,  19164,  19837, 
/* msg =   5501, deg =  6 */   4138,   4646,   6793,  11146,  17420,  19493, 
/* msg =   5502, deg =  6 */   4633,   6587,   7016,  10552,  13230,  15152, 
/* msg =   5503, deg =  6 */   1132,   7892,   8917,  13742,  16480,  18712, 
/* msg =   5504, deg =  6 */   3429,   4701,   5768,  11868,  13236,  17806, 
/* msg =   5505, deg =  6 */   2080,   3477,   4424,  13130,  14704,  18512, 
/* msg =   5506, deg =  6 */   1339,   7509,   9101,  12032,  19699,  19878, 
/* msg =   5507, deg =  6 */    110,   5589,   8790,  14313,  15432,  17769, 
/* msg =   5508, deg =  6 */   3285,   8017,   8131,  10685,  13561,  17191, 
/* msg =   5509, deg =  6 */   2042,   6355,   9325,  10890,  14078,  16410, 
/* msg =   5510, deg =  6 */    979,   1129,   2701,  12074,  15603,  15805, 
/* msg =   5511, deg =  6 */   3745,   5894,   8606,  11603,  12553,  13852, 
/* msg =   5512, deg =  6 */     24,   2894,   7261,  11220,  14627,  15706, 
/* msg =   5513, deg =  6 */   3455,   7378,   9379,  12273,  13424,  16576, 
/* msg =   5514, deg =  6 */   3232,   4168,   8041,  11849,  15044,  16412, 
/* msg =   5515, deg =  6 */   1765,   4366,   6827,  12099,  15402,  15520, 
/* msg =   5516, deg =  6 */   1320,   3799,   4218,  13691,  17468,  19653, 
/* msg =   5517, deg =  6 */    389,   3737,   7543,  10663,  16527,  19843, 
/* msg =   5518, deg =  6 */    703,   4239,   7990,  12853,  15895,  17569, 
/* msg =   5519, deg =  6 */   3519,   3624,   8685,  13892,  14369,  18564, 
/* msg =   5520, deg =  6 */    861,   3556,   7468,  12757,  13926,  14449, 
/* msg =   5521, deg =  6 */    146,   3270,   4655,  10797,  11411,  15098, 
/* msg =   5522, deg =  6 */   4266,   5797,   9819,  10969,  15467,  18013, 
/* msg =   5523, deg =  6 */   2491,   3304,   8090,  12912,  16234,  16719, 
/* msg =   5524, deg =  6 */    332,   6370,   9764,  16766,  18818,  19510, 
/* msg =   5525, deg =  6 */   1103,   5126,   9118,  14178,  14265,  19464, 
/* msg =   5526, deg =  6 */    998,   3611,   7510,  11136,  14445,  17085, 
/* msg =   5527, deg =  6 */   7125,   8991,   9133,  12431,  12841,  14456, 
/* msg =   5528, deg =  6 */    880,   2157,   5085,  11140,  14803,  16080, 
/* msg =   5529, deg =  6 */   1945,   5261,   5932,  10133,  14520,  18686, 
/* msg =   5530, deg =  6 */   3603,   9472,   9655,  13188,  16063,  18625, 
/* msg =   5531, deg =  6 */   5076,   7352,   8101,  11771,  12239,  19893, 
/* msg =   5532, deg =  6 */   1632,   2515,   5659,  12131,  15678,  17141, 
/* msg =   5533, deg =  6 */    791,   2537,   6258,  10754,  12303,  15311, 
/* msg =   5534, deg =  6 */    259,   2073,   3842,  14049,  17729,  19979, 
/* msg =   5535, deg =  6 */   5296,   7478,   9522,  12305,  13824,  15285, 
/* msg =   5536, deg =  6 */   1073,   7863,   9474,  17853,  19379,  19496, 
/* msg =   5537, deg =  6 */   6200,   6490,   9545,  14128,  18308,  18330, 
/* msg =   5538, deg =  6 */   2481,   3192,   5984,  13717,  14491,  17646, 
/* msg =   5539, deg =  6 */    402,   3844,   8772,  13954,  17147,  17213, 
/* msg =   5540, deg =  6 */   1587,   2194,   3918,  10327,  15273,  17115, 
/* msg =   5541, deg =  6 */   3669,   6531,   7662,  13490,  13827,  18747, 
/* msg =   5542, deg =  6 */   3146,   4074,   9024,  10771,  11427,  19261, 
/* msg =   5543, deg =  6 */   8026,   8049,   9974,  10692,  15651,  16025, 
/* msg =   5544, deg =  6 */   3174,   4637,   8362,  14055,  19649,  19745, 
/* msg =   5545, deg =  6 */   2010,   2167,   9224,  12510,  13302,  16199, 
/* msg =   5546, deg =  6 */     53,   2047,   3614,  11476,  14480,  15458, 
/* msg =   5547, deg =  6 */   2174,   3351,   4343,  11069,  11264,  13102, 
/* msg =   5548, deg =  6 */    191,   2695,   5405,  14081,  16725,  18014, 
/* msg =   5549, deg =  6 */   3375,   7400,   9139,  10248,  16150,  17729, 
/* msg =   5550, deg =  6 */   2226,   8982,   9001,  10059,  11390,  14220, 
/* msg =   5551, deg =  6 */   5141,   7777,   8050,  16041,  16866,  19671, 
/* msg =   5552, deg =  6 */   1342,   8610,   8931,  10248,  11634,  19504, 
/* msg =   5553, deg =  6 */   7154,   7160,   8971,  12448,  12817,  18142, 
/* msg =   5554, deg =  6 */      4,   4151,   7546,  11929,  16045,  18368, 
/* msg =   5555, deg =  6 */    613,   6511,   6754,  13620,  16619,  19152, 
/* msg =   5556, deg =  6 */   5639,   6410,   8886,  15682,  16953,  19941, 
/* msg =   5557, deg =  6 */   1686,   3439,   9971,  12575,  19554,  19826, 
/* msg =   5558, deg =  6 */   1788,   7264,   7916,  11960,  12263,  19718, 
/* msg =   5559, deg =  6 */   1799,   2787,   7158,  12501,  14792,  14988, 
/* msg =   5560, deg =  6 */   1753,   2367,   2600,  10626,  14604,  15394, 
/* msg =   5561, deg =  6 */   2253,   5882,   6637,  10989,  11147,  19735, 
/* msg =   5562, deg =  6 */   1885,   2466,   3930,  16032,  18398,  18739, 
/* msg =   5563, deg =  6 */   3825,   6955,   9657,  11604,  17799,  18192, 
/* msg =   5564, deg =  6 */   1019,   3976,   8827,  14635,  16066,  16560, 
/* msg =   5565, deg =  6 */    184,   1111,   1115,  16771,  16997,  19538, 
/* msg =   5566, deg =  6 */   3801,   4344,   9010,  13281,  14309,  15255, 
/* msg =   5567, deg =  6 */   1217,   1276,   5202,  14243,  15321,  17407, 
/* msg =   5568, deg =  6 */   2822,   3954,   4883,  10250,  10315,  12573, 
/* msg =   5569, deg =  6 */   3557,   8163,   9058,  12622,  13171,  18897, 
/* msg =   5570, deg =  6 */   3856,   4615,   9162,  12716,  14894,  18002, 
/* msg =   5571, deg =  6 */    399,   4021,   4864,  10679,  13758,  14926, 
/* msg =   5572, deg =  6 */   5430,   6593,   7295,  16308,  16707,  19597, 
/* msg =   5573, deg =  6 */   1268,   6574,   6983,  13013,  14807,  19604, 
/* msg =   5574, deg =  6 */   1167,   2945,   9361,  11217,  15992,  17091, 
/* msg =   5575, deg =  6 */   3331,   6000,   8411,  10449,  12048,  15784, 
/* msg =   5576, deg =  6 */   1274,   2852,   9070,  11813,  13091,  13995, 
/* msg =   5577, deg =  6 */   2742,   3479,   8171,  10905,  12416,  15231, 
/* msg =   5578, deg =  6 */   2700,   4701,   8836,  10231,  11774,  12502, 
/* msg =   5579, deg =  6 */   2679,   4964,   9629,  15390,  16145,  19020, 
/* msg =   5580, deg =  6 */   5144,   6657,   7880,  12013,  12303,  14207, 
/* msg =   5581, deg =  6 */   2429,   2489,   7111,  16188,  17538,  17855, 
/* msg =   5582, deg =  6 */    150,   7169,   7305,  10724,  11155,  16196, 
/* msg =   5583, deg =  6 */   1146,   2596,   8294,  11344,  14063,  19595, 
/* msg =   5584, deg =  6 */   2096,   7871,   9841,  10377,  15295,  18149, 
/* msg =   5585, deg =  6 */   3823,   6573,   7242,  10258,  10730,  11937, 
/* msg =   5586, deg =  6 */    963,   4091,   8199,  13040,  14184,  18746, 
/* msg =   5587, deg =  6 */   1241,   3078,   4869,  12980,  16957,  17265, 
/* msg =   5588, deg =  6 */   2526,   3886,   7700,  12550,  17379,  18490, 
/* msg =   5589, deg =  6 */   3908,   4243,   7066,  11246,  14017,  17674, 
/* msg =   5590, deg =  6 */   4381,   5843,   7929,  12633,  12850,  13502, 
/* msg =   5591, deg =  6 */   2572,   7659,   9841,  12513,  15690,  18206, 
/* msg =   5592, deg =  6 */   1328,   3575,   5674,  14258,  15564,  18545, 
/* msg =   5593, deg =  6 */   1150,   2502,   4178,  10088,  14378,  17175, 
/* msg =   5594, deg =  6 */    951,   3055,   8284,  10671,  16610,  17773, 
/* msg =   5595, deg =  6 */    576,   2071,   5177,  11340,  13490,  17250, 
/* msg =   5596, deg =  6 */    807,   3567,   9493,  11684,  11733,  16003, 
/* msg =   5597, deg =  6 */   2053,   3187,   3434,  13901,  16487,  16652, 
/* msg =   5598, deg =  6 */   2485,   4014,   9915,  12286,  16529,  18009, 
/* msg =   5599, deg =  6 */   1703,   1946,   5451,  13373,  14079,  14451, 
/* msg =   5600, deg =  6 */   3716,   4471,   5781,  11622,  11912,  12817, 
/* msg =   5601, deg =  6 */    336,   9048,   9489,  13462,  16305,  19653, 
/* msg =   5602, deg =  6 */   1158,   6099,   8316,  10729,  13065,  17188, 
/* msg =   5603, deg =  6 */   6804,   7171,   7581,  13375,  19577,  19634, 
/* msg =   5604, deg =  6 */   1292,   2397,   9559,  10441,  11676,  13507, 
/* msg =   5605, deg =  6 */   3655,   8096,   8786,  10271,  17055,  18828, 
/* msg =   5606, deg =  6 */   1559,   2293,   4045,  12472,  14510,  17083, 
/* msg =   5607, deg =  6 */   2849,   4524,   6524,  13922,  16984,  19932, 
/* msg =   5608, deg =  6 */    180,   8681,   8748,  11361,  13790,  14013, 
/* msg =   5609, deg =  6 */   1154,   2795,   3526,  10508,  12360,  17361, 
/* msg =   5610, deg =  6 */   2406,   2536,   6146,  13902,  14250,  16740, 
/* msg =   5611, deg =  6 */   7366,   7518,   8128,  13415,  13600,  14864, 
/* msg =   5612, deg =  6 */   3693,   6723,   9087,  10438,  15655,  15878, 
/* msg =   5613, deg =  6 */   1300,   3300,   4739,  11050,  16117,  19463, 
/* msg =   5614, deg =  6 */   3156,   5313,   9849,  12662,  13673,  14613, 
/* msg =   5615, deg =  6 */   3578,   6519,   9551,  15104,  17002,  19882, 
/* msg =   5616, deg =  6 */    852,   4156,   8962,  11132,  15724,  18342, 
/* msg =   5617, deg =  6 */   7650,   8335,   8856,  10041,  18418,  19083, 
/* msg =   5618, deg =  6 */   2021,   3793,   5823,  11790,  17904,  18659, 
/* msg =   5619, deg =  6 */    190,   4355,   6689,  11664,  16743,  18067, 
/* msg =   5620, deg =  6 */    152,   2130,   7283,  13902,  19097,  19516, 
/* msg =   5621, deg =  6 */   2805,   4986,   7360,  10642,  12352,  13051, 
/* msg =   5622, deg =  6 */   1029,   2826,   6514,  10949,  18322,  18569, 
/* msg =   5623, deg =  6 */   6357,   6776,   7444,  11297,  12519,  15546, 
/* msg =   5624, deg =  6 */    682,   2428,   7463,  10483,  16565,  18014, 
/* msg =   5625, deg =  6 */   3836,   5205,   5536,  10160,  14693,  17418, 
/* msg =   5626, deg =  6 */   2283,   4292,   9476,  17654,  17752,  17903, 
/* msg =   5627, deg =  6 */   5217,   6816,   8951,  11090,  11799,  12833, 
/* msg =   5628, deg =  6 */    334,   5510,   8899,  13237,  16344,  17946, 
/* msg =   5629, deg =  6 */   6011,   6911,   7155,  15931,  17362,  19553, 
/* msg =   5630, deg =  6 */   4063,   5350,   8657,  11549,  14021,  17293, 
/* msg =   5631, deg =  6 */   5670,   7447,   7468,  14720,  15370,  16137, 
/* msg =   5632, deg =  6 */   3107,   4291,   4793,  10326,  11045,  18681, 
/* msg =   5633, deg =  6 */   2053,   4527,   8314,  12871,  15522,  18896, 
/* msg =   5634, deg =  6 */   1608,   4758,   7647,  10011,  10538,  14162, 
/* msg =   5635, deg =  6 */    330,   1512,   1693,  11021,  19109,  19321, 
/* msg =   5636, deg =  6 */   3636,   3857,   7187,  13195,  15055,  18989, 
/* msg =   5637, deg =  6 */    788,   5858,   6059,  14195,  14343,  15441, 
/* msg =   5638, deg =  6 */   3060,   5525,   7855,  10450,  10914,  13018, 
/* msg =   5639, deg =  6 */   2334,   2545,   9604,  12907,  13474,  14171, 
/* msg =   5640, deg =  6 */   3704,   5907,   8912,  10337,  14943,  18382, 
/* msg =   5641, deg =  6 */   4214,   7514,   9825,  11232,  15022,  19414, 
/* msg =   5642, deg =  6 */   6584,   8906,   9961,  16103,  17620,  18714, 
/* msg =   5643, deg =  6 */   1417,   4306,   9105,  10630,  14025,  18830, 
/* msg =   5644, deg =  6 */   6857,   7845,   9073,  11761,  14721,  18599, 
/* msg =   5645, deg =  6 */   1698,   3028,   9317,  12775,  14427,  14772, 
/* msg =   5646, deg =  6 */   1218,   5533,   9859,  10094,  13277,  18336, 
/* msg =   5647, deg =  6 */   1479,   5801,   9307,  10527,  13638,  13915, 
/* msg =   5648, deg =  6 */   2555,   6170,   9122,  12199,  14973,  18579, 
/* msg =   5649, deg =  6 */   3146,   4824,   9015,  10786,  12040,  14002, 
/* msg =   5650, deg =  6 */   2254,   6377,   7600,  13065,  14744,  15566, 
/* msg =   5651, deg =  6 */   3692,   4099,   5269,  10864,  19233,  19880, 
/* msg =   5652, deg =  6 */    767,   5024,   5926,  12612,  16531,  18320, 
/* msg =   5653, deg =  6 */   5647,   7995,   8659,  16432,  18911,  19655, 
/* msg =   5654, deg =  6 */   1190,   2288,   6108,  10043,  13367,  18518, 
/* msg =   5655, deg =  6 */   5106,   7981,   8798,  14363,  15486,  19887, 
/* msg =   5656, deg =  6 */   5673,   6336,   9410,  13671,  15264,  15759, 
/* msg =   5657, deg =  6 */   2737,   9003,   9260,  12308,  16813,  18021, 
/* msg =   5658, deg =  6 */    944,   3215,   6414,  15460,  17346,  17677, 
/* msg =   5659, deg =  6 */   1603,   5842,   8068,  11644,  16907,  19972, 
/* msg =   5660, deg =  6 */      9,   3004,   4238,  11093,  14116,  17065, 
/* msg =   5661, deg =  6 */    575,   1931,   4202,  12559,  13156,  18052, 
/* msg =   5662, deg =  6 */   1592,   5104,   5753,  15896,  18726,  18793, 
/* msg =   5663, deg =  6 */   1446,   4800,   6257,  15579,  18714,  19445, 
/* msg =   5664, deg =  6 */   2368,   3281,   5928,  11855,  14198,  15859, 
/* msg =   5665, deg =  6 */   1204,   1978,   5881,  15274,  16058,  17167, 
/* msg =   5666, deg =  6 */   1216,   2214,   9966,  13540,  16728,  16978, 
/* msg =   5667, deg =  6 */   1442,   6310,   7995,  13031,  14867,  16100, 
/* msg =   5668, deg =  6 */   1709,   3575,   9471,  12004,  14993,  16639, 
/* msg =   5669, deg =  6 */   2025,   8610,   9031,  12347,  17232,  17571, 
/* msg =   5670, deg =  6 */   4677,   7955,   9415,  15497,  16051,  18110, 
/* msg =   5671, deg =  6 */   5376,   6286,   8799,  10737,  13590,  16296, 
/* msg =   5672, deg =  6 */    763,   1317,   8304,  10530,  12705,  14286, 
/* msg =   5673, deg =  6 */   3406,   3850,   5102,  14406,  18712,  18901, 
/* msg =   5674, deg =  6 */    762,   2021,   6888,  10517,  17066,  19584, 
/* msg =   5675, deg =  6 */    534,    816,   7260,  10314,  10974,  17287, 
/* msg =   5676, deg =  6 */   2830,   5491,   5799,  16009,  17566,  19158, 
/* msg =   5677, deg =  6 */   1172,   2643,   8890,  10577,  17841,  18995, 
/* msg =   5678, deg =  6 */    943,   2112,   9571,  16712,  17378,  18626, 
/* msg =   5679, deg =  6 */   4011,   4375,   6864,  10962,  16742,  19779, 
/* msg =   5680, deg =  6 */   2498,   3247,   5485,  12536,  19141,  19218, 
/* msg =   5681, deg =  6 */   3495,   3607,   8183,  14207,  18167,  19306, 
/* msg =   5682, deg =  6 */    312,   3672,   4363,  13856,  14821,  19817, 
/* msg =   5683, deg =  6 */   5774,   5901,   8211,  16954,  17013,  19601, 
/* msg =   5684, deg =  6 */    827,   5323,   6589,  10427,  12788,  18897, 
/* msg =   5685, deg =  6 */   6049,   6935,   8870,  11738,  11904,  14643, 
/* msg =   5686, deg =  6 */    117,    504,   4234,  10074,  13023,  19541, 
/* msg =   5687, deg =  6 */   2025,   3261,   5413,  11982,  17764,  18156, 
/* msg =   5688, deg =  6 */   4796,   6610,   6617,  14970,  15697,  18678, 
/* msg =   5689, deg =  6 */    761,   4805,   9290,  11376,  11669,  15059, 
/* msg =   5690, deg =  6 */   6060,   7046,   8504,  13102,  17326,  19974, 
/* msg =   5691, deg =  6 */    830,   3677,   9478,  12065,  13097,  14883, 
/* msg =   5692, deg =  6 */   3273,   4088,   9205,  14232,  15426,  16252, 
/* msg =   5693, deg =  6 */   5026,   7748,   9699,  10445,  14225,  15834, 
/* msg =   5694, deg =  6 */    463,   4460,   7852,  11787,  14272,  17630, 
/* msg =   5695, deg =  6 */   2706,   8289,   9939,  12754,  13556,  14329, 
/* msg =   5696, deg =  6 */   1952,   3870,   7923,  11968,  12656,  19918, 
/* msg =   5697, deg =  6 */    843,   3946,   8162,  10948,  13455,  16782, 
/* msg =   5698, deg =  6 */   4092,   6713,   8088,  12548,  14733,  17157, 
/* msg =   5699, deg =  6 */   4826,   4920,   5792,  10531,  14253,  16805, 
/* msg =   5700, deg =  6 */   1188,   4716,   6749,  15954,  16007,  18704, 
/* msg =   5701, deg =  6 */    320,   1822,   2922,  12032,  15263,  18446, 
/* msg =   5702, deg =  6 */   3415,   6680,   9923,  12372,  17534,  17790, 
/* msg =   5703, deg =  6 */   1981,   7266,   9821,  17703,  18073,  19391, 
/* msg =   5704, deg =  6 */   1153,   6835,   9351,  12258,  12310,  19080, 
/* msg =   5705, deg =  6 */   2397,   2422,   6157,  11080,  11999,  18827, 
/* msg =   5706, deg =  6 */    432,   3910,   6540,  16517,  18560,  19329, 
/* msg =   5707, deg =  6 */    943,   5787,   7338,  10293,  16609,  19362, 
/* msg =   5708, deg =  6 */    928,   1548,   8511,  14104,  16746,  17836, 
/* msg =   5709, deg =  6 */   3773,   6002,   6986,  13468,  14258,  18332, 
/* msg =   5710, deg =  6 */   7307,   7895,   9538,  11491,  13968,  17621, 
/* msg =   5711, deg =  6 */    179,    804,   5024,  10852,  11401,  15639, 
/* msg =   5712, deg =  6 */   1333,   1478,   9501,  10846,  11543,  14735, 
/* msg =   5713, deg =  6 */    897,   2139,   8758,  11518,  15029,  17585, 
/* msg =   5714, deg =  6 */   6405,   7890,   8503,  12261,  12602,  16497, 
/* msg =   5715, deg =  6 */      1,   9299,   9856,  10247,  15234,  16056, 
/* msg =   5716, deg =  6 */   3262,   6290,   7033,  14097,  18083,  19016, 
/* msg =   5717, deg =  6 */    761,   5287,   6699,  10117,  12471,  18231, 
/* msg =   5718, deg =  6 */    384,   1017,   6095,  13696,  19431,  19736, 
/* msg =   5719, deg =  6 */   5174,   6114,   7358,  12188,  12825,  18969, 
/* msg =   5720, deg =  6 */    147,   4114,   9897,  10803,  11919,  17780, 
/* msg =   5721, deg =  6 */    557,   1231,   6259,  10850,  11759,  19302, 
/* msg =   5722, deg =  6 */    905,   2770,   4462,  10107,  15262,  16660, 
/* msg =   5723, deg =  6 */   5476,   6172,   7668,  14281,  16001,  16424, 
/* msg =   5724, deg =  6 */   1835,   2619,   2640,  15449,  17249,  17361, 
/* msg =   5725, deg =  6 */   2257,   5796,   7276,  11822,  12004,  17436, 
/* msg =   5726, deg =  6 */   5237,   6420,   7950,  10945,  11608,  17138, 
/* msg =   5727, deg =  6 */    228,    877,   7035,  11533,  17859,  19085, 
/* msg =   5728, deg =  6 */   1720,   5347,   6820,  10956,  17712,  19031, 
/* msg =   5729, deg =  6 */    598,    709,   6307,  15143,  15458,  17895, 
/* msg =   5730, deg =  6 */   4088,   5146,   8630,  11357,  11544,  15160, 
/* msg =   5731, deg =  6 */   2620,   3481,   7788,  10051,  10879,  17364, 
/* msg =   5732, deg =  6 */   1778,   5658,   6028,  10301,  10747,  13923, 
/* msg =   5733, deg =  6 */   2116,   4115,   6254,  11470,  11981,  19958, 
/* msg =   5734, deg =  6 */     81,   3221,   4903,  16526,  18430,  19624, 
/* msg =   5735, deg =  6 */    636,    997,   9404,  13961,  15036,  15648, 
/* msg =   5736, deg =  6 */    451,   2260,   3951,  10227,  14225,  14983, 
/* msg =   5737, deg =  6 */   2071,   6598,   8091,  11829,  12764,  14868, 
/* msg =   5738, deg =  6 */    997,   1003,   5545,  11647,  16545,  17138, 
/* msg =   5739, deg =  6 */   3258,   6544,   8550,  13706,  18068,  19819, 
/* msg =   5740, deg =  6 */   3511,   4153,   9574,  14220,  14497,  14512, 
/* msg =   5741, deg =  6 */   5033,   6073,   7381,  13173,  17674,  18871, 
/* msg =   5742, deg =  6 */   1304,   2041,   9528,  14000,  15802,  19873, 
/* msg =   5743, deg =  6 */   4647,   5409,   6771,  14455,  18736,  19909, 
/* msg =   5744, deg =  6 */   3052,   8162,   8722,  11443,  12389,  15607, 
/* msg =   5745, deg =  6 */   4236,   4568,   4790,  10005,  14303,  14878, 
/* msg =   5746, deg =  6 */   3377,   4301,   7738,  11960,  13665,  19880, 
/* msg =   5747, deg =  6 */   1069,   2253,   2734,  11731,  13481,  16238, 
/* msg =   5748, deg =  6 */   2568,   3726,   6660,  12782,  14945,  18291, 
/* msg =   5749, deg =  6 */   4888,   4929,   7167,  10143,  13669,  18391, 
/* msg =   5750, deg =  6 */    229,   7548,   8665,  10595,  15698,  19643, 
/* msg =   5751, deg =  6 */   4364,   5392,   7143,  10151,  10715,  14870, 
/* msg =   5752, deg =  6 */     16,   9339,   9693,  14522,  16730,  19242, 
/* msg =   5753, deg =  6 */   5095,   7446,   8420,  15811,  18583,  19432, 
/* msg =   5754, deg =  6 */   2040,   4145,   6574,  11771,  12736,  13167, 
/* msg =   5755, deg =  6 */     65,   4082,   7227,  11478,  14306,  15765, 
/* msg =   5756, deg =  6 */    633,   5209,   8951,  13895,  14003,  18053, 
/* msg =   5757, deg =  6 */    913,   5832,   7638,  11671,  13538,  16149, 
/* msg =   5758, deg =  6 */   1483,   2915,   5356,  10307,  13994,  19434, 
/* msg =   5759, deg =  6 */   3677,   3892,   4060,  14467,  15763,  17510, 
/* msg =   5760, deg =  6 */   7691,   7976,   9894,  12710,  17918,  18377, 
/* msg =   5761, deg =  6 */    228,   6359,   8710,  10219,  13697,  17857, 
/* msg =   5762, deg =  6 */   1944,   5394,   7334,  10202,  16470,  18083, 
/* msg =   5763, deg =  6 */    513,   2304,   5345,  10678,  11202,  15935, 
/* msg =   5764, deg =  6 */   5097,   5915,   7766,  10587,  13117,  16382, 
/* msg =   5765, deg =  6 */   1883,   6627,   6678,  15507,  16046,  19723, 
/* msg =   5766, deg =  6 */   1502,   3819,   7265,  13245,  15051,  16945, 
/* msg =   5767, deg =  6 */   3978,   6238,   6390,  13087,  16602,  19588, 
/* msg =   5768, deg =  6 */    531,   2880,   4932,  12406,  14346,  19002, 
/* msg =   5769, deg =  6 */    872,   2712,   7209,  11888,  12634,  18122, 
/* msg =   5770, deg =  6 */   4789,   4911,   9588,  12179,  13200,  18396, 
/* msg =   5771, deg =  6 */   3366,   6519,   9270,  10992,  11104,  17557, 
/* msg =   5772, deg =  6 */   4919,   5279,   9848,  14246,  17658,  19888, 
/* msg =   5773, deg =  6 */   2885,   3608,   7515,  11638,  14910,  16890, 
/* msg =   5774, deg =  6 */    227,    271,   3952,  15851,  16640,  18624, 
/* msg =   5775, deg =  6 */   6621,   6720,   7049,  11131,  11408,  14218, 
/* msg =   5776, deg =  6 */    834,   6636,   7733,  11793,  11846,  15271, 
/* msg =   5777, deg =  6 */   4103,   6433,   7618,  14369,  16317,  17509, 
/* msg =   5778, deg =  6 */   7012,   7718,   9197,  10109,  14627,  17933, 
/* msg =   5779, deg =  6 */   1607,   3948,   7734,  10654,  16554,  16847, 
/* msg =   5780, deg =  6 */   5884,   6376,   7471,  12122,  16904,  16937, 
/* msg =   5781, deg =  6 */   2632,   2976,   7473,  11560,  13468,  17356, 
/* msg =   5782, deg =  6 */   4111,   4643,   6991,  11007,  11535,  18046, 
/* msg =   5783, deg =  6 */    961,   8318,   9108,  12741,  17060,  18938, 
/* msg =   5784, deg =  6 */    907,   1018,   4968,  14561,  14739,  16392, 
/* msg =   5785, deg =  6 */   7271,   7508,   8108,  10567,  14149,  14902, 
/* msg =   5786, deg =  6 */   4654,   5337,   9706,  16150,  18548,  18730, 
/* msg =   5787, deg =  6 */   7257,   7874,   7960,  13096,  18325,  19260, 
/* msg =   5788, deg =  6 */   1552,   2191,   4844,  12742,  14574,  15812, 
/* msg =   5789, deg =  6 */    307,   9329,   9475,  15759,  17656,  19257, 
/* msg =   5790, deg =  6 */   1254,   5758,   6221,  14994,  15307,  19154, 
/* msg =   5791, deg =  6 */   2599,   5084,   6013,  10402,  11302,  11765, 
/* msg =   5792, deg =  6 */   3484,   3854,   7635,  13113,  13858,  18680, 
/* msg =   5793, deg =  6 */   7669,   8362,   9889,  11841,  12583,  13811, 
/* msg =   5794, deg =  6 */   2891,   3830,   6943,  10595,  10985,  18889, 
/* msg =   5795, deg =  6 */    191,   3815,   6343,  11335,  11982,  13454, 
/* msg =   5796, deg =  6 */     98,   2591,   8160,  12625,  17831,  19312, 
/* msg =   5797, deg =  6 */   2623,   4827,   8156,  16767,  18527,  19894, 
/* msg =   5798, deg =  6 */    977,   4471,   8340,  10856,  14073,  16925, 
/* msg =   5799, deg =  6 */   1263,   3803,   8061,  13403,  15524,  18630, 
/* msg =   5800, deg =  6 */   1855,   6691,   9205,  10003,  12413,  19886, 
/* msg =   5801, deg =  6 */   4295,   7018,   7429,  12931,  18603,  18733, 
/* msg =   5802, deg =  6 */    428,   9529,   9908,  15869,  17811,  19318, 
/* msg =   5803, deg =  6 */   1022,   3144,   8520,  13532,  14051,  19191, 
/* msg =   5804, deg =  6 */   1056,   3263,   8307,  14983,  18622,  19336, 
/* msg =   5805, deg =  6 */   5343,   5347,   6190,  11319,  13317,  14195, 
/* msg =   5806, deg =  6 */   5065,   6155,   7624,  11657,  13207,  18434, 
/* msg =   5807, deg =  6 */   1229,   2072,   7794,  14376,  15903,  16371, 
/* msg =   5808, deg =  6 */   3975,   7623,   7826,  11940,  14039,  19668, 
/* msg =   5809, deg =  6 */   1793,   4687,   5212,  10138,  13822,  19661, 
/* msg =   5810, deg =  6 */   3216,   4958,   9639,  13280,  18286,  19487, 
/* msg =   5811, deg =  6 */   3376,   5119,   9189,  16006,  16804,  19586, 
/* msg =   5812, deg =  6 */    977,   8437,   9113,  11411,  17530,  17892, 
/* msg =   5813, deg =  6 */   2955,   5636,   7677,  12708,  15034,  17574, 
/* msg =   5814, deg =  6 */   1939,   6956,   8008,  12228,  13372,  14674, 
/* msg =   5815, deg =  6 */   1403,   5275,   6652,  15610,  16077,  19745, 
/* msg =   5816, deg =  6 */    392,   3590,   4811,  12576,  18348,  18643, 
/* msg =   5817, deg =  6 */   1322,   2318,   2494,  11854,  11857,  13490, 
/* msg =   5818, deg =  6 */    484,   3757,   7900,  10622,  11660,  17727, 
/* msg =   5819, deg =  6 */   6990,   8106,   9356,  13629,  13762,  19086, 
/* msg =   5820, deg =  6 */    522,    648,   8383,  13245,  13979,  14702, 
/* msg =   5821, deg =  6 */   2102,   6875,   8584,  13467,  17736,  18544, 
/* msg =   5822, deg =  6 */    180,   1333,   5371,  15870,  17066,  18645, 
/* msg =   5823, deg =  6 */   6360,   7772,   8403,  16616,  17123,  19393, 
/* msg =   5824, deg =  6 */    252,   3616,   8678,  16309,  18268,  18377, 
/* msg =   5825, deg =  6 */   1786,   4999,   7160,  10042,  11100,  17160, 
/* msg =   5826, deg =  6 */   1127,   2177,   4959,  14645,  15590,  15877, 
/* msg =   5827, deg =  6 */   2757,   6852,   7986,  12366,  12632,  14416, 
/* msg =   5828, deg =  6 */   3990,   7511,   9992,  10535,  15820,  19675, 
/* msg =   5829, deg =  6 */    370,   3148,   7668,  12534,  15209,  19818, 
/* msg =   5830, deg =  6 */   6409,   6894,   8115,  11831,  13799,  14079, 
/* msg =   5831, deg =  6 */   1540,   4988,   7684,  14591,  17435,  19620, 
/* msg =   5832, deg =  6 */   3889,   4790,   4832,  10163,  11973,  15474, 
/* msg =   5833, deg =  6 */   2424,   4591,   9689,  12573,  16405,  18547, 
/* msg =   5834, deg =  6 */   2199,   6948,   8864,  10499,  12009,  13734, 
/* msg =   5835, deg =  6 */   4240,   4965,   8179,  12059,  13881,  14554, 
/* msg =   5836, deg =  6 */    665,   8747,   9217,  13733,  14771,  18964, 
/* msg =   5837, deg =  6 */   3079,   4679,   4909,  14557,  15402,  16031, 
/* msg =   5838, deg =  6 */   1832,   2223,   9814,  12726,  17059,  19162, 
/* msg =   5839, deg =  6 */   1596,   5184,   7575,  14790,  15214,  16157, 
/* msg =   5840, deg =  6 */   6900,   6955,   7622,  13135,  14244,  14880, 
/* msg =   5841, deg =  6 */    573,   6160,   9813,  11754,  11796,  17241, 
/* msg =   5842, deg =  6 */   6664,   6735,   7671,  12272,  14148,  19136, 
/* msg =   5843, deg =  6 */   1339,   3327,   9211,  11565,  15587,  16442, 
/* msg =   5844, deg =  6 */   1243,   5927,   7980,  10511,  10782,  16616, 
/* msg =   5845, deg =  6 */   2950,   3598,   5539,  14239,  16776,  19961, 
/* msg =   5846, deg =  6 */   2267,   6356,   8148,  14815,  15343,  19172, 
/* msg =   5847, deg =  6 */   2950,   3548,   3788,  10884,  12683,  19771, 
/* msg =   5848, deg =  6 */    922,   5535,   7420,  12904,  16016,  17108, 
/* msg =   5849, deg =  6 */   2211,   3504,   6096,  12148,  14844,  17826, 
/* msg =   5850, deg =  6 */    887,    889,   2692,  12008,  13363,  15912, 
/* msg =   5851, deg =  6 */   4346,   6837,   8170,  11196,  11278,  15528, 
/* msg =   5852, deg =  6 */     74,    680,   1808,  10795,  14111,  15904, 
/* msg =   5853, deg =  6 */   3692,   6998,   7244,  11833,  12374,  15696, 
/* msg =   5854, deg =  6 */   3012,   3874,   9034,  11192,  13392,  13785, 
/* msg =   5855, deg =  6 */   2875,   3743,   3845,  10037,  18864,  19965, 
/* msg =   5856, deg =  6 */    329,   4899,   7399,  15920,  17215,  19343, 
/* msg =   5857, deg =  6 */   2530,   3972,   9268,  17849,  18717,  19761, 
/* msg =   5858, deg =  6 */   6205,   7557,   9822,  10283,  10288,  19531, 
/* msg =   5859, deg =  6 */    650,    845,   7930,  17053,  19310,  19623, 
/* msg =   5860, deg =  6 */    256,   7926,   9121,  10776,  15907,  17489, 
/* msg =   5861, deg =  6 */   6157,   7330,   8323,  14182,  14700,  19853, 
/* msg =   5862, deg =  6 */   4722,   5087,   9262,  17282,  17473,  18874, 
/* msg =   5863, deg =  6 */     63,   1251,   7022,  15144,  17470,  18590, 
/* msg =   5864, deg =  6 */   3277,   6233,   6319,  10383,  14164,  16308, 
/* msg =   5865, deg =  6 */   6347,   7365,   9483,  10507,  14970,  15929, 
/* msg =   5866, deg =  6 */    186,   2571,   9765,  11837,  18045,  19320, 
/* msg =   5867, deg =  6 */   3840,   4166,   8919,  10251,  14365,  17439, 
/* msg =   5868, deg =  6 */   2978,   5663,   6578,  10564,  15898,  17561, 
/* msg =   5869, deg =  6 */   3209,   3408,   8288,  12123,  17625,  17810, 
/* msg =   5870, deg =  6 */   1033,   3233,   8312,  11235,  18155,  18617, 
/* msg =   5871, deg =  6 */   3831,   5285,   9151,  10007,  12814,  18496, 
/* msg =   5872, deg =  6 */   4863,   5012,   8964,  13796,  15357,  18583, 
/* msg =   5873, deg =  6 */    324,   7228,   9872,  10714,  11604,  12435, 
/* msg =   5874, deg =  6 */   5943,   8379,   9115,  12597,  15781,  19888, 
/* msg =   5875, deg =  6 */   3994,   5917,   9206,  14530,  15214,  19988, 
/* msg =   5876, deg =  6 */   7471,   7650,   9149,  14205,  18254,  18855, 
/* msg =   5877, deg =  6 */   1218,   2251,   9263,  10462,  15233,  17354, 
/* msg =   5878, deg =  6 */    797,   6031,   8165,  10316,  11945,  19183, 
/* msg =   5879, deg =  6 */    220,    278,   5650,  10775,  14908,  15821, 
/* msg =   5880, deg =  6 */   7235,   8718,   9118,  16383,  19167,  19794, 
/* msg =   5881, deg =  6 */   3024,   9039,   9551,  13136,  17927,  18734, 
/* msg =   5882, deg =  6 */     55,   5252,   8546,  11365,  14408,  14533, 
/* msg =   5883, deg =  6 */   4419,   5491,   8434,  17014,  18070,  19363, 
/* msg =   5884, deg =  6 */    782,   5071,   7278,  12192,  14320,  19337, 
/* msg =   5885, deg =  6 */   2376,   4805,   9491,  12920,  16809,  16813, 
/* msg =   5886, deg =  6 */    921,   1838,   2897,  13198,  15664,  19310, 
/* msg =   5887, deg =  6 */   3142,   5031,   8084,  12334,  16690,  19801, 
/* msg =   5888, deg =  6 */    441,    993,   8480,  15807,  17486,  19833, 
/* msg =   5889, deg =  6 */   4218,   7609,   9481,  10554,  13123,  18207, 
/* msg =   5890, deg =  6 */   2625,   6223,   8780,  10994,  16358,  18745, 
/* msg =   5891, deg =  6 */   1490,   2001,   9998,  15071,  17805,  18088, 
/* msg =   5892, deg =  6 */   4135,   5502,   8458,  10752,  11635,  16732, 
/* msg =   5893, deg =  6 */   1084,   5200,   9970,  10270,  12745,  17536, 
/* msg =   5894, deg =  6 */   5071,   5379,   5586,  16386,  16819,  18408, 
/* msg =   5895, deg =  6 */   2546,   6266,   7353,  10270,  11781,  15408, 
/* msg =   5896, deg =  6 */   2906,   6251,   7939,  12806,  16389,  19349, 
/* msg =   5897, deg =  6 */    581,   2247,   5327,  13649,  15987,  16650, 
/* msg =   5898, deg =  6 */   4140,   8969,   9441,  13632,  14043,  18560, 
/* msg =   5899, deg =  6 */   1656,   4112,   7866,  13303,  14963,  16741, 
/* msg =   5900, deg =  6 */   2151,   4285,   8944,  16316,  17300,  18390, 
/* msg =   5901, deg =  6 */   1635,   6109,   9690,  13877,  16660,  17069, 
/* msg =   5902, deg =  6 */   3850,   4693,   9675,  11441,  13818,  14664, 
/* msg =   5903, deg =  6 */    877,   5996,   6160,  16374,  19708,  19785, 
/* msg =   5904, deg =  6 */   1583,   1957,   4284,  12497,  16593,  18773, 
/* msg =   5905, deg =  6 */   2492,   3980,   5952,  12749,  14048,  16892, 
/* msg =   5906, deg =  6 */   2701,   2893,   3565,  13688,  16396,  16749, 
/* msg =   5907, deg =  6 */   1862,   3177,   3583,  10108,  13225,  15482, 
/* msg =   5908, deg =  6 */   1202,   5602,   7723,  14825,  17429,  18530, 
/* msg =   5909, deg =  6 */   6621,   8670,   8981,  12584,  16870,  19074, 
/* msg =   5910, deg =  6 */    344,    677,   3107,  11593,  11894,  14370, 
/* msg =   5911, deg =  6 */   2569,   3517,   6362,  13331,  16275,  19322, 
/* msg =   5912, deg =  6 */   1562,   3149,   5447,  11174,  12783,  19319, 
/* msg =   5913, deg =  6 */   1824,   3762,   7000,  13606,  16266,  18463, 
/* msg =   5914, deg =  6 */    215,   3153,   7104,  12570,  13371,  16268, 
/* msg =   5915, deg =  6 */   5697,   8075,   8438,  10373,  15677,  16254, 
/* msg =   5916, deg =  6 */   1238,   5083,   9593,  10035,  14111,  18663, 
/* msg =   5917, deg =  6 */   3806,   6325,   9371,  17503,  17923,  18570, 
/* msg =   5918, deg =  6 */   2782,   5449,   6184,  12193,  15261,  16938, 
/* msg =   5919, deg =  6 */    750,   6451,   9101,  12969,  14594,  17907, 
/* msg =   5920, deg =  6 */   5952,   7825,   8778,  13505,  15281,  16419, 
/* msg =   5921, deg =  6 */   1136,   4554,   7931,  16078,  17890,  18571, 
/* msg =   5922, deg =  6 */   2753,   6002,   9053,  10363,  10621,  16867, 
/* msg =   5923, deg =  6 */   4857,   6009,   8600,  12169,  16479,  16882, 
/* msg =   5924, deg =  6 */   2080,   2327,   9889,  14719,  15885,  19590, 
/* msg =   5925, deg =  6 */   2282,   3086,   6045,  10475,  18128,  18573, 
/* msg =   5926, deg =  6 */   4979,   5865,   7134,  11549,  18516,  18560, 
/* msg =   5927, deg =  6 */    103,   4017,   5972,  14639,  18361,  19196, 
/* msg =   5928, deg =  6 */    725,   2153,   6750,  10442,  10552,  19330, 
/* msg =   5929, deg =  6 */   1123,   5456,   9469,  13361,  15058,  17398, 
/* msg =   5930, deg =  6 */    956,   4219,   8199,  13199,  13391,  19205, 
/* msg =   5931, deg =  6 */    675,   2798,   3682,  12714,  17000,  19198, 
/* msg =   5932, deg =  6 */   2762,   4618,   8465,  11641,  12562,  16376, 
/* msg =   5933, deg =  6 */   5121,   5519,   9567,  15035,  16034,  18214, 
/* msg =   5934, deg =  6 */   3780,   5322,   8638,  11968,  14693,  17146, 
/* msg =   5935, deg =  6 */   1317,   3697,   4164,  17947,  18639,  19283, 
/* msg =   5936, deg =  6 */    405,   8200,   9973,  13808,  16081,  19713, 
/* msg =   5937, deg =  6 */   4329,   5475,   9074,  14223,  14285,  14824, 
/* msg =   5938, deg =  6 */    407,   5898,   8711,  12835,  14010,  17738, 
/* msg =   5939, deg =  6 */    447,    453,   9357,  10001,  13277,  19666, 
/* msg =   5940, deg =  6 */    401,   6913,   9083,  11838,  19112,  19398, 
/* msg =   5941, deg =  6 */   1529,   4368,   4712,  12778,  17301,  18566, 
/* msg =   5942, deg =  6 */    135,    896,   9597,  11942,  13567,  16879, 
/* msg =   5943, deg =  6 */   1237,   1638,   4208,  11843,  16854,  19060, 
/* msg =   5944, deg =  6 */   3207,   3631,   7789,  12065,  12321,  17955, 
/* msg =   5945, deg =  6 */   3024,   3530,   8627,  10195,  16788,  18257, 
/* msg =   5946, deg =  6 */   3496,   3995,   7700,  10676,  11351,  13814, 
/* msg =   5947, deg =  6 */    437,   4486,   8247,  10866,  13470,  17772, 
/* msg =   5948, deg =  6 */   3354,   3480,   5652,  13486,  13891,  16427, 
/* msg =   5949, deg =  6 */   5338,   7557,   9800,  15588,  18245,  18804, 
/* msg =   5950, deg =  6 */   1281,   3466,   5339,  13932,  17613,  19070, 
/* msg =   5951, deg =  6 */   3047,   3459,   8803,  12867,  17262,  18105, 
/* msg =   5952, deg =  6 */   1515,   1739,   9305,  14888,  17659,  18133, 
/* msg =   5953, deg =  6 */    955,   2592,   5068,  10622,  13224,  14758, 
/* msg =   5954, deg =  6 */   1212,   4503,   9011,  10277,  14843,  18416, 
/* msg =   5955, deg =  6 */   3191,   4216,   4514,  14075,  16355,  19595, 
/* msg =   5956, deg =  6 */   1743,   2663,   8659,  10456,  12989,  19226, 
/* msg =   5957, deg =  6 */   1405,   6161,   9927,  13541,  13764,  15753, 
/* msg =   5958, deg =  6 */   5292,   5681,   8529,  11296,  11966,  17130, 
/* msg =   5959, deg =  6 */   4488,   5848,   7580,  13335,  14004,  16398, 
/* msg =   5960, deg =  6 */   5509,   5593,   5838,  10724,  12357,  13952, 
/* msg =   5961, deg =  6 */    439,   3576,   8979,  13047,  13948,  19503, 
/* msg =   5962, deg =  6 */   5506,   5668,   9006,  10750,  16183,  18839, 
/* msg =   5963, deg =  6 */    412,   7567,   9544,  10169,  16481,  17295, 
/* msg =   5964, deg =  6 */   2857,   5672,   8140,  11136,  12790,  13082, 
/* msg =   5965, deg =  6 */   1695,   5059,   9115,  11792,  12598,  19768, 
/* msg =   5966, deg =  6 */   6816,   9123,   9952,  11915,  13714,  14525, 
/* msg =   5967, deg =  6 */   1472,   2068,   7870,  11196,  19245,  19664, 
/* msg =   5968, deg =  6 */   2200,   3878,   5580,  13637,  16274,  19396, 
/* msg =   5969, deg =  6 */   2556,   5081,   6638,  10912,  13893,  18878, 
/* msg =   5970, deg =  6 */    732,   2827,   9942,  17490,  18975,  19105, 
/* msg =   5971, deg =  6 */    772,   3241,   4132,  10058,  11263,  16426, 
/* msg =   5972, deg =  6 */   1459,   4234,   5389,  12842,  19047,  19222, 
/* msg =   5973, deg =  6 */    703,   3687,   6864,  13076,  15582,  17323, 
/* msg =   5974, deg =  6 */   5616,   8147,   8278,  10168,  15611,  16015, 
/* msg =   5975, deg =  6 */   1097,   3901,   5425,  10808,  12518,  18005, 
/* msg =   5976, deg =  6 */   3027,   8098,   8614,  14398,  15356,  18040, 
/* msg =   5977, deg =  6 */   2359,   2697,   9396,  11731,  17449,  18417, 
/* msg =   5978, deg =  6 */   1463,   4821,   8565,  10414,  10418,  16040, 
/* msg =   5979, deg =  6 */   1854,   6439,   8696,  10263,  13038,  17602, 
/* msg =   5980, deg =  6 */    453,   2843,   5845,  13067,  14706,  19646, 
/* msg =   5981, deg =  6 */   1447,   2839,   6589,  14796,  17860,  18431, 
/* msg =   5982, deg =  6 */   4609,   6799,   6940,  13297,  15192,  15269, 
/* msg =   5983, deg =  6 */    162,   4388,   8114,  11702,  16914,  19776, 
/* msg =   5984, deg =  6 */    331,   2779,   7487,  16491,  16724,  17670, 
/* msg =   5985, deg =  6 */   5594,   5887,   9899,  10453,  12213,  17123, 
/* msg =   5986, deg =  6 */   4574,   6942,   8452,  13140,  13395,  15673, 
/* msg =   5987, deg =  6 */   4064,   4317,   9467,  13151,  17203,  17303, 
/* msg =   5988, deg =  6 */     61,   3295,   9497,  11652,  12347,  18612, 
/* msg =   5989, deg =  6 */   1693,   3335,   6891,  10951,  15749,  19635, 
/* msg =   5990, deg =  6 */   2888,   8538,   9338,  12781,  13052,  18912, 
/* msg =   5991, deg =  6 */   3155,   5825,   9293,  11998,  19277,  19781, 
/* msg =   5992, deg =  6 */   5674,   6344,   7194,  12145,  18017,  19830, 
/* msg =   5993, deg =  6 */   3778,   6648,   7993,  13440,  17526,  18005, 
/* msg =   5994, deg =  6 */   2578,   7545,   9447,  12019,  18395,  19917, 
/* msg =   5995, deg =  6 */    432,   3306,   8627,  10865,  14543,  17593, 
/* msg =   5996, deg =  6 */   4080,   6617,   8186,  13512,  15862,  16925, 
/* msg =   5997, deg =  6 */   1090,   1847,   1908,  10605,  10642,  15846, 
/* msg =   5998, deg =  6 */   3678,   6087,   8866,  10064,  11629,  13052, 
/* msg =   5999, deg =  6 */   1597,   3161,   8476,  12982,  13736,  18255, 
/* msg =   6000, deg =  6 */   1224,   7385,   9632,  10960,  13179,  19926, 
/* msg =   6001, deg =  6 */    586,   3990,   5833,  13803,  16520,  17024, 
/* msg =   6002, deg =  6 */   5154,   5419,   8691,  10952,  12452,  13800, 
/* msg =   6003, deg =  6 */    275,   1552,   6070,  12469,  13924,  14947, 
/* msg =   6004, deg =  6 */   2360,   6289,   9449,  12872,  13795,  14946, 
/* msg =   6005, deg =  6 */   1709,   1923,   7389,  10802,  14468,  17641, 
/* msg =   6006, deg =  6 */    257,   5566,   9253,  13521,  13646,  19667, 
/* msg =   6007, deg =  6 */   1253,   7725,   8743,  13683,  15053,  17253, 
/* msg =   6008, deg =  6 */   1162,   3184,   5964,  10097,  11238,  14917, 
/* msg =   6009, deg =  6 */   1618,   3097,   5653,  14361,  16105,  17592, 
/* msg =   6010, deg =  6 */    102,   2627,   6192,  10586,  13271,  16650, 
/* msg =   6011, deg =  6 */   4738,   5735,   6721,  14505,  16825,  19947, 
/* msg =   6012, deg =  6 */    626,   3020,   5656,  10204,  11403,  13214, 
/* msg =   6013, deg =  6 */   3439,   8759,   9595,  11958,  12078,  15614, 
/* msg =   6014, deg =  6 */    678,   2661,   8517,  16210,  16245,  17564, 
/* msg =   6015, deg =  6 */    530,    914,   8036,  12994,  19314,  19838, 
/* msg =   6016, deg =  6 */    407,   3674,   6300,  12233,  14727,  18744, 
/* msg =   6017, deg =  6 */    317,   5119,   5914,  10050,  16239,  17573, 
/* msg =   6018, deg =  6 */   5390,   7584,   9423,  11008,  12471,  13152, 
/* msg =   6019, deg =  6 */   2620,   4868,   8619,  11469,  12753,  16404, 
/* msg =   6020, deg =  6 */   1625,   5813,   8784,  11230,  11817,  15551, 
/* msg =   6021, deg =  6 */   5226,   5702,   9728,  14289,  15395,  16707, 
/* msg =   6022, deg =  6 */   1151,   5225,   5231,  14132,  14402,  17233, 
/* msg =   6023, deg =  6 */    290,   5981,   6757,  18611,  18648,  19682, 
/* msg =   6024, deg =  6 */   3038,   4787,   6903,  10759,  15059,  17712, 
/* msg =   6025, deg =  6 */   2479,   5339,   8661,  11532,  13168,  15255, 
/* msg =   6026, deg =  6 */    222,    311,   5940,  10366,  15026,  15804, 
/* msg =   6027, deg =  6 */    547,   3700,   7884,  10079,  10346,  19029, 
/* msg =   6028, deg =  6 */   6687,   8313,   8970,  12276,  14336,  18279, 
/* msg =   6029, deg =  6 */    717,   5361,   8122,  13051,  13922,  17421, 
/* msg =   6030, deg =  6 */   2761,   4702,   4994,  10165,  13876,  14837, 
/* msg =   6031, deg =  6 */   1753,   4066,   5615,  10256,  13022,  16141, 
/* msg =   6032, deg =  6 */   4316,   4862,   9411,  13454,  13851,  19341, 
/* msg =   6033, deg =  6 */   1030,   3966,   5112,  13475,  16249,  17630, 
/* msg =   6034, deg =  6 */   2124,   6547,   7857,  13698,  16362,  17626, 
/* msg =   6035, deg =  6 */    159,   6983,   8747,  11178,  12885,  16630, 
/* msg =   6036, deg =  6 */   2043,   5429,   7192,  10691,  14194,  15598, 
/* msg =   6037, deg =  6 */   4344,   6534,   7571,  14261,  15191,  17355, 
/* msg =   6038, deg =  6 */   3118,   5644,   7599,  11924,  19034,  19789, 
/* msg =   6039, deg =  6 */   2559,   3486,   5992,  12643,  15808,  19614, 
/* msg =   6040, deg =  6 */   4619,   6077,   8093,  15298,  17292,  18129, 
/* msg =   6041, deg =  6 */   1456,   5641,   8808,  11884,  16232,  17787, 
/* msg =   6042, deg =  6 */    218,   7076,   7441,  15113,  16636,  18353, 
/* msg =   6043, deg =  6 */   6342,   7872,   8417,  11344,  13529,  15118, 
/* msg =   6044, deg =  6 */    899,   2379,   6417,  10677,  17113,  18519, 
/* msg =   6045, deg =  6 */   4914,   9224,   9998,  13950,  17084,  17994, 
/* msg =   6046, deg =  6 */   5918,   6242,   9845,  10017,  11026,  13595, 
/* msg =   6047, deg =  6 */   3833,   5314,   9731,  14204,  15481,  16681, 
/* msg =   6048, deg =  6 */   3279,   7081,   7883,  10463,  14476,  17825, 
/* msg =   6049, deg =  6 */   1124,   2248,   5137,  10354,  16140,  17205, 
/* msg =   6050, deg =  6 */   2844,   5749,   6063,  15328,  17785,  18006, 
/* msg =   6051, deg =  6 */   6608,   8211,   9108,  12710,  17758,  19911, 
/* msg =   6052, deg =  6 */   2111,   2299,   6921,  11996,  14247,  19724, 
/* msg =   6053, deg =  6 */   3214,   6284,   9177,  10181,  16933,  18166, 
/* msg =   6054, deg =  6 */   2675,   3793,   6531,  12014,  15716,  17335, 
/* msg =   6055, deg =  6 */   3849,   6565,   7093,  10598,  12768,  15889, 
/* msg =   6056, deg =  6 */   6887,   8338,   9682,  12616,  13871,  19553, 
/* msg =   6057, deg =  6 */   2981,   6987,   8259,  11393,  13536,  14046, 
/* msg =   6058, deg =  6 */   3254,   3686,   5408,  16993,  19669,  19900, 
/* msg =   6059, deg =  6 */    951,   3422,   4419,  14692,  17938,  18077, 
/* msg =   6060, deg =  6 */    500,   7401,   9532,  13039,  16950,  17660, 
/* msg =   6061, deg =  6 */    674,   7492,   9294,  11622,  13526,  18184, 
/* msg =   6062, deg =  6 */   4104,   6332,   8422,  11561,  15749,  16713, 
/* msg =   6063, deg =  6 */   2550,   5484,   8068,  17759,  18319,  19963, 
/* msg =   6064, deg =  6 */   2993,   6770,   9931,  12483,  13124,  16482, 
/* msg =   6065, deg =  6 */   2277,   4067,   7818,  15318,  16045,  17240, 
/* msg =   6066, deg =  6 */   2644,   3801,   9516,  14158,  14972,  15630, 
/* msg =   6067, deg =  6 */     59,   6974,   7147,  13461,  14793,  17837, 
/* msg =   6068, deg =  6 */   1288,   8838,   9840,  14671,  17574,  18890, 
/* msg =   6069, deg =  6 */   2771,   8858,   8895,  13611,  13874,  14874, 
/* msg =   6070, deg =  6 */    867,   1736,   1760,  10082,  12793,  15333, 
/* msg =   6071, deg =  6 */      0,   5392,   7067,  16779,  18886,  19077, 
/* msg =   6072, deg =  6 */   1187,   5150,   8587,  12038,  16579,  19450, 
/* msg =   6073, deg =  6 */    127,    449,   9736,  14319,  18587,  19499, 
/* msg =   6074, deg =  6 */   1268,   2928,   3219,  11748,  18147,  19082, 
/* msg =   6075, deg =  6 */   6668,   8924,   9085,  11190,  16747,  19413, 
/* msg =   6076, deg =  6 */   6301,   8119,   9251,  13280,  14468,  15525, 
/* msg =   6077, deg =  6 */   3277,   6300,   7750,  10222,  15910,  17535, 
/* msg =   6078, deg =  6 */    137,    365,   3894,  11428,  17816,  18625, 
/* msg =   6079, deg =  6 */   5546,   6376,   6474,  11070,  14461,  17993, 
/* msg =   6080, deg =  6 */    753,   2688,   3294,  13709,  14194,  19341, 
/* msg =   6081, deg =  6 */   5483,   7757,   9951,  10718,  11680,  15380, 
/* msg =   6082, deg =  6 */   5119,   6961,   8463,  10502,  14172,  18380, 
/* msg =   6083, deg =  6 */     88,   4004,   7596,  13745,  14442,  19340, 
/* msg =   6084, deg =  6 */    719,   8591,   8806,  12609,  15915,  19766, 
/* msg =   6085, deg =  6 */     70,    802,   7840,  15920,  16837,  19881, 
/* msg =   6086, deg =  6 */   2236,   4421,   9150,  10095,  19547,  19656, 
/* msg =   6087, deg =  6 */   3036,   7518,   8216,  11154,  11176,  13185, 
/* msg =   6088, deg =  6 */   2215,   3198,   7783,  15707,  16317,  18428, 
/* msg =   6089, deg =  6 */   3236,   9371,   9853,  13312,  13461,  18946, 
/* msg =   6090, deg =  6 */   3383,   5399,   5723,  13708,  15199,  17148, 
/* msg =   6091, deg =  6 */   2846,   7493,   7729,  11663,  12517,  14738, 
/* msg =   6092, deg =  6 */   2000,   3441,   9071,  13688,  16547,  17669, 
/* msg =   6093, deg =  6 */   1166,   4487,   8277,  12196,  15712,  15794, 
/* msg =   6094, deg =  6 */    708,    918,   8658,  12474,  15420,  17036, 
/* msg =   6095, deg =  6 */    619,   8697,   8840,  12172,  15276,  18154, 
/* msg =   6096, deg =  6 */    502,   1549,   2633,  10361,  10826,  19123, 
/* msg =   6097, deg =  6 */   5076,   6890,   9798,  11410,  13745,  17190, 
/* msg =   6098, deg =  6 */   1063,   1511,   9989,  10350,  14579,  16605, 
/* msg =   6099, deg =  6 */   2444,   5610,   7289,  10440,  10563,  15907, 
/* msg =   6100, deg =  6 */   7975,   8324,   9794,  10259,  14047,  19436, 
/* msg =   6101, deg =  6 */   2250,   6262,   8165,  14259,  16570,  17812, 
/* msg =   6102, deg =  6 */     84,   7501,   8020,  11270,  15650,  17742, 
/* msg =   6103, deg =  6 */   4683,   5571,   7592,  10190,  10354,  12169, 
/* msg =   6104, deg =  6 */   1071,   1741,   7957,  10438,  12611,  14135, 
/* msg =   6105, deg =  6 */   1091,   2792,   7135,  11986,  15485,  16645, 
/* msg =   6106, deg =  6 */    477,   4580,   5845,  10137,  15613,  16924, 
/* msg =   6107, deg =  6 */   1117,   1865,   2778,  10090,  10359,  11303, 
/* msg =   6108, deg =  6 */   1476,   3005,   5298,  16295,  17152,  19558, 
/* msg =   6109, deg =  6 */    761,   1816,   7694,  12435,  13833,  18460, 
/* msg =   6110, deg =  6 */   2131,   2964,   8467,  11103,  12797,  12979, 
/* msg =   6111, deg =  6 */    183,   3085,   8364,  13277,  18567,  19238, 
/* msg =   6112, deg =  6 */   3801,   4478,   4657,  12554,  13382,  16025, 
/* msg =   6113, deg =  6 */   2517,   3448,   3888,  16124,  17670,  17792, 
/* msg =   6114, deg =  6 */   1905,   6799,   7458,  10822,  14300,  14970, 
/* msg =   6115, deg =  6 */   2116,   4092,   8142,  11471,  17562,  19139, 
/* msg =   6116, deg =  6 */   4378,   7863,   9851,  10478,  10495,  17170, 
/* msg =   6117, deg =  6 */    863,   7335,   8642,  15766,  16750,  17662, 
/* msg =   6118, deg =  6 */    173,   2173,   7293,  11338,  11547,  11821, 
/* msg =   6119, deg =  6 */   2250,   2724,   8506,  13182,  15363,  17598, 
/* msg =   6120, deg =  6 */   7979,   8477,   9322,  10930,  14845,  15209, 
/* msg =   6121, deg =  6 */   1062,   4241,   8967,  12467,  13681,  15874, 
/* msg =   6122, deg =  6 */   4637,   8466,   8537,  14005,  16485,  19482, 
/* msg =   6123, deg =  6 */   7480,   8832,   9428,  10704,  14899,  15043, 
/* msg =   6124, deg =  6 */    611,   8280,   8343,  13337,  15962,  17738, 
/* msg =   6125, deg =  6 */   3746,   6657,   6845,  16623,  18531,  19130, 
/* msg =   6126, deg =  6 */   3007,   6939,   7052,  10521,  11991,  14098, 
/* msg =   6127, deg =  6 */   1277,   2166,   9454,  11819,  14752,  18170, 
/* msg =   6128, deg =  6 */   1984,   9192,   9498,  10996,  14471,  16981, 
/* msg =   6129, deg =  6 */    756,   4650,   7437,  10064,  16595,  18228, 
/* msg =   6130, deg =  6 */     54,    905,   2179,  10031,  15885,  19784, 
/* msg =   6131, deg =  6 */   5369,   7859,   8999,  13971,  15264,  16263, 
/* msg =   6132, deg =  6 */   2183,   3895,   7665,  10286,  11643,  14161, 
/* msg =   6133, deg =  6 */   1234,   3585,   3611,  13196,  14572,  15038, 
/* msg =   6134, deg =  6 */   1767,   4813,   8581,  12108,  13603,  16648, 
/* msg =   6135, deg =  6 */   1398,   4065,   7224,  10625,  12291,  13583, 
/* msg =   6136, deg =  6 */   2820,   2964,   7527,  12093,  13112,  13451, 
/* msg =   6137, deg =  6 */   3675,   7766,   8594,  13779,  15893,  17956, 
/* msg =   6138, deg =  6 */   3851,   4167,   9436,  12422,  12779,  16129, 
/* msg =   6139, deg =  6 */    689,   3388,   8229,  12102,  17971,  18290, 
/* msg =   6140, deg =  6 */    375,   5112,   8525,  13145,  16612,  16764, 
/* msg =   6141, deg =  6 */   6691,   7195,   9640,  14259,  14593,  17985, 
/* msg =   6142, deg =  6 */   3177,   6093,   8017,  14274,  16186,  19352, 
/* msg =   6143, deg =  6 */   1126,   6760,   8880,  10937,  11210,  12073, 
/* msg =   6144, deg =  6 */   1248,   5607,   6889,  12578,  14448,  16177, 
/* msg =   6145, deg =  6 */   1745,   2871,   8035,  12626,  16008,  17438, 
/* msg =   6146, deg =  6 */   2636,   3057,   7454,  10379,  14466,  16715, 
/* msg =   6147, deg =  6 */    593,   2680,   3955,  13952,  15700,  19039, 
/* msg =   6148, deg =  6 */   2936,   6907,   9433,  10380,  11323,  15993, 
/* msg =   6149, deg =  6 */   6119,   6702,   7249,  15685,  17340,  19758, 
/* msg =   6150, deg =  6 */   6386,   7712,   8981,  10331,  15774,  19724, 
/* msg =   6151, deg =  6 */   2934,   2975,   8865,  14883,  16610,  17009, 
/* msg =   6152, deg =  6 */    533,   4001,   4588,  13854,  16425,  16572, 
/* msg =   6153, deg =  6 */   2241,   7498,   8542,  10920,  13625,  16007, 
/* msg =   6154, deg =  6 */   2727,   4159,   4603,  14296,  15626,  19274, 
/* msg =   6155, deg =  6 */   3219,   6479,   7211,  17142,  18108,  18642, 
/* msg =   6156, deg =  6 */    923,   6820,   7854,  12150,  15135,  16032, 
/* msg =   6157, deg =  6 */   2825,   5616,   6901,  12463,  13330,  19930, 
/* msg =   6158, deg =  6 */   5443,   6171,   9243,  17798,  18640,  19400, 
/* msg =   6159, deg =  6 */   1485,   2645,   5256,  13774,  17876,  19484, 
/* msg =   6160, deg =  6 */   3022,   4919,   9113,  12093,  16898,  18167, 
/* msg =   6161, deg =  6 */   1536,   4741,   7281,  10111,  13483,  19954, 
/* msg =   6162, deg =  6 */    510,   2613,   5779,  10462,  13309,  19560, 
/* msg =   6163, deg =  6 */    364,   2143,   9252,  14321,  16584,  19871, 
/* msg =   6164, deg =  6 */   8415,   9459,   9618,  18540,  19457,  19538, 
/* msg =   6165, deg =  6 */   3114,   7968,   8925,  10130,  12060,  13182, 
/* msg =   6166, deg =  6 */   2586,   5318,   8064,  13795,  17293,  19782, 
/* msg =   6167, deg =  6 */    516,    663,   2336,  13254,  18243,  19371, 
/* msg =   6168, deg =  6 */   2103,   4059,   6577,  12075,  13148,  14497, 
/* msg =   6169, deg =  6 */   1609,   3323,   3959,  13324,  14018,  16200, 
/* msg =   6170, deg =  6 */   3447,   6188,   8731,  11618,  13719,  17524, 
/* msg =   6171, deg =  6 */   4169,   6754,   7657,  17744,  18912,  19018, 
/* msg =   6172, deg =  6 */   3928,   7463,   7688,  14186,  17520,  18087, 
/* msg =   6173, deg =  6 */   1312,   9036,   9450,  14780,  15561,  17920, 
/* msg =   6174, deg =  6 */    263,    887,   8872,  11788,  12996,  15602, 
/* msg =   6175, deg =  6 */   1590,   1648,   6493,  12607,  16605,  17281, 
/* msg =   6176, deg =  6 */   1444,   3069,   6631,  11018,  14657,  19246, 
/* msg =   6177, deg =  6 */   4599,   8821,   9003,  13456,  13896,  16872, 
/* msg =   6178, deg =  6 */   1178,   1245,   7294,  11222,  14061,  14625, 
/* msg =   6179, deg =  6 */    519,   3591,   3774,  10388,  15544,  16562, 
/* msg =   6180, deg =  6 */   3363,   5697,   7426,  16295,  17612,  19665, 
/* msg =   6181, deg =  6 */    962,   4617,   5239,  15232,  18054,  18295, 
/* msg =   6182, deg =  6 */   1034,   2137,   2609,  11256,  14783,  19727, 
/* msg =   6183, deg =  6 */   2094,   8575,   9143,  11551,  14969,  18487, 
/* msg =   6184, deg =  6 */    990,   2148,   5985,  16064,  16920,  18024, 
/* msg =   6185, deg =  6 */   7614,   8791,   9275,  13355,  15460,  19296, 
/* msg =   6186, deg =  6 */   1119,   4232,   8185,  11256,  15281,  19075, 
/* msg =   6187, deg =  6 */    263,    871,   2305,  10138,  12360,  16394, 
/* msg =   6188, deg =  6 */   1769,   4103,   6758,  12333,  17691,  18333, 
/* msg =   6189, deg =  6 */    796,   2691,   7831,  15155,  16774,  17813, 
/* msg =   6190, deg =  6 */   4737,   5063,   7216,  12130,  13867,  14961, 
/* msg =   6191, deg =  6 */   1055,   7704,   9250,  13891,  14269,  17897, 
/* msg =   6192, deg =  6 */   1629,   3218,   8265,  12988,  13013,  13404, 
/* msg =   6193, deg =  6 */   1826,   2455,   8487,  16920,  17418,  19168, 
/* msg =   6194, deg =  6 */   1537,   5251,   7479,  10806,  12368,  13428, 
/* msg =   6195, deg =  6 */    246,   1142,   2729,  11105,  15827,  19390, 
/* msg =   6196, deg =  6 */   2857,   4299,   8257,  10118,  16590,  17298, 
/* msg =   6197, deg =  6 */   2634,   6961,   7375,  10141,  11869,  18305, 
/* msg =   6198, deg =  6 */   1513,   3751,   7417,  14071,  17007,  19986, 
/* msg =   6199, deg =  6 */   5032,   5101,   8441,  10198,  10967,  16352, 
/* msg =   6200, deg =  6 */    787,   4396,   4814,  11987,  14187,  15194, 
/* msg =   6201, deg =  6 */    570,   4819,   5622,  10100,  10446,  13908, 
/* msg =   6202, deg =  6 */    351,   3114,   7227,  11088,  17710,  19515, 
/* msg =   6203, deg =  6 */   2573,   4113,   8243,  11302,  14071,  18869, 
/* msg =   6204, deg =  6 */   1002,   4625,   6354,  12181,  13309,  16987, 
/* msg =   6205, deg =  6 */   2931,   5316,   8036,  11039,  11070,  18564, 
/* msg =   6206, deg =  6 */   8738,   8819,   9578,  10451,  10500,  18036, 
/* msg =   6207, deg =  6 */   1230,   4945,   5262,  10836,  18742,  19533, 
/* msg =   6208, deg =  6 */   2314,   2753,   3421,  12985,  17904,  18451, 
/* msg =   6209, deg =  6 */   2901,   6380,   9161,  15075,  18091,  18459, 
/* msg =   6210, deg =  6 */   2072,   5619,   8268,  10874,  11370,  18175, 
/* msg =   6211, deg =  6 */   5259,   6704,   7027,  12439,  14293,  15410, 
/* msg =   6212, deg =  6 */   1348,   2478,   9837,  16728,  18291,  19069, 
/* msg =   6213, deg =  6 */   5673,   8910,   8940,  16093,  18288,  19902, 
/* msg =   6214, deg =  6 */   3847,   5950,   9672,  11331,  15114,  15940, 
/* msg =   6215, deg =  6 */   6910,   7084,   9065,  11424,  14210,  18653, 
/* msg =   6216, deg =  6 */   4233,   8190,   9096,  12227,  13467,  14816, 
/* msg =   6217, deg =  6 */   5079,   7260,   8644,  10347,  14485,  18419, 
/* msg =   6218, deg =  6 */   5412,   5516,   6870,  13800,  17135,  19201, 
/* msg =   6219, deg =  6 */    601,   5368,   5513,  12524,  14984,  17723, 
/* msg =   6220, deg =  6 */   2136,   2498,   5163,  10101,  17299,  17986, 
/* msg =   6221, deg =  6 */   2554,   6704,   7882,  13960,  17112,  18755, 
/* msg =   6222, deg =  6 */   1538,   6576,   8567,  10320,  10611,  15298, 
/* msg =   6223, deg =  6 */   1843,   9580,   9818,  15498,  18424,  19895, 
/* msg =   6224, deg =  6 */   5939,   6725,   8191,  10295,  17118,  17392, 
/* msg =   6225, deg =  6 */   2600,   5146,   6375,  14552,  17730,  18382, 
/* msg =   6226, deg =  6 */   1955,   5010,   6110,  12070,  13620,  16900, 
/* msg =   6227, deg =  6 */   2245,   2430,   9117,  13847,  14140,  14394, 
/* msg =   6228, deg =  6 */   2267,   3136,   4921,  10927,  12312,  14237, 
/* msg =   6229, deg =  6 */   1921,   2593,   5280,  10490,  14059,  14545, 
/* msg =   6230, deg =  6 */   2776,   5094,   7019,  10956,  17748,  19342, 
/* msg =   6231, deg =  6 */    770,   7806,   9685,  13545,  18558,  19421, 
/* msg =   6232, deg =  6 */   1119,   3172,   5507,  10823,  12862,  19221, 
/* msg =   6233, deg =  6 */   1904,   3389,   6564,  11378,  14646,  19834, 
/* msg =   6234, deg =  6 */     56,   3992,   8810,  12029,  12250,  15179, 
/* msg =   6235, deg =  6 */   1648,   2504,   7402,  14000,  18772,  19456, 
/* msg =   6236, deg =  6 */   1376,   4810,   7201,  15018,  19151,  19426, 
/* msg =   6237, deg =  6 */   1921,   2991,   4802,  13897,  17539,  18853, 
/* msg =   6238, deg =  6 */   2098,   5271,   8923,  13337,  17121,  19090, 
/* msg =   6239, deg =  6 */    334,   1406,   3315,  12744,  15361,  17085, 
/* msg =   6240, deg =  6 */   3312,   4305,   6549,  17689,  17820,  18928, 
/* msg =   6241, deg =  6 */   3349,   5118,   6629,  11348,  15524,  16599, 
/* msg =   6242, deg =  6 */   1869,   7591,   8130,  17231,  19005,  19043, 
/* msg =   6243, deg =  6 */   3579,   5923,   9488,  10718,  11392,  18038, 
/* msg =   6244, deg =  6 */   3323,   3540,   6740,  10743,  15450,  19670, 
/* msg =   6245, deg =  6 */    675,   2019,   8926,  15576,  17265,  17517, 
/* msg =   6246, deg =  6 */   6024,   6535,   9567,  10223,  11963,  19873, 
/* msg =   6247, deg =  6 */    934,   1346,   5632,  13885,  18621,  19707, 
/* msg =   6248, deg =  6 */   1717,   5087,   6954,  12161,  17529,  17848, 
/* msg =   6249, deg =  6 */    394,    931,   8149,  11325,  14690,  19061, 
/* msg =   6250, deg =  6 */   3208,   7060,   9349,  14218,  15862,  18690, 
/* msg =   6251, deg =  6 */   1543,   5804,   6178,  17768,  17841,  19816, 
/* msg =   6252, deg =  6 */   3770,   6597,   8263,  13110,  14723,  17468, 
/* msg =   6253, deg =  6 */    260,   2096,   3925,  10232,  12251,  15997, 
/* msg =   6254, deg =  6 */   3020,   3163,   9302,  11656,  16060,  18937, 
/* msg =   6255, deg =  6 */   3395,   4681,   6112,  18074,  18104,  19932, 
/* msg =   6256, deg =  6 */    707,   1160,   9696,  10494,  13113,  19840, 
/* msg =   6257, deg =  6 */   2481,   6197,   9785,  11703,  16518,  19747, 
/* msg =   6258, deg =  6 */    546,   4591,   8329,  12382,  17990,  19343, 
/* msg =   6259, deg =  6 */   6897,   7989,   9309,  12788,  13706,  15687, 
/* msg =   6260, deg =  6 */    881,   7433,   8045,  10394,  17275,  19020, 
/* msg =   6261, deg =  6 */   4576,   5476,   6829,  14860,  15854,  18966, 
/* msg =   6262, deg =  6 */    565,   4581,   7636,  12449,  12482,  17204, 
/* msg =   6263, deg =  6 */   3705,   4507,   9959,  12041,  15425,  17512, 
/* msg =   6264, deg =  6 */   5013,   5641,   7204,  10282,  17337,  19452, 
/* msg =   6265, deg =  6 */    328,   2817,   6701,  10926,  10962,  19459, 
/* msg =   6266, deg =  6 */   4421,   5764,   8911,  15775,  15916,  18395, 
/* msg =   6267, deg =  6 */    487,   4620,   5501,  10478,  14085,  18676, 
/* msg =   6268, deg =  6 */   6450,   7773,   8765,  10987,  19286,  19772, 
/* msg =   6269, deg =  6 */   2749,   5009,   8843,  11600,  14262,  16901, 
/* msg =   6270, deg =  6 */     55,   1948,   2626,  11378,  15813,  19813, 
/* msg =   6271, deg =  6 */    704,   4645,   5490,  12030,  12112,  18276, 
/* msg =   6272, deg =  6 */    305,   5855,   8356,  10179,  15252,  15279, 
/* msg =   6273, deg =  6 */   1567,   6396,   8801,  11944,  12695,  17938, 
/* msg =   6274, deg =  6 */   5989,   8256,   9444,  14538,  14705,  16688, 
/* msg =   6275, deg =  6 */   6205,   9221,   9783,  12808,  15634,  17944, 
/* msg =   6276, deg =  6 */   6100,   8225,   8673,  11318,  13063,  16729, 
/* msg =   6277, deg =  6 */    414,   6707,   9240,  11519,  18043,  19323, 
/* msg =   6278, deg =  6 */    773,   4459,   7461,  10367,  17143,  17638, 
/* msg =   6279, deg =  6 */   2864,   3552,   6652,  12193,  15228,  17522, 
/* msg =   6280, deg =  6 */   3223,   3999,   9307,  13181,  13451,  18280, 
/* msg =   6281, deg =  6 */   2131,   9029,   9284,  14718,  17468,  19805, 
/* msg =   6282, deg =  6 */    276,   2416,   9979,  10401,  16465,  18469, 
/* msg =   6283, deg =  6 */   3338,   4529,   8107,  13381,  18072,  19399, 
/* msg =   6284, deg =  6 */   1868,   3071,   6095,  12491,  15060,  19972, 
/* msg =   6285, deg =  6 */    283,   1391,   3626,  10403,  11946,  17151, 
/* msg =   6286, deg =  6 */   6788,   9417,   9740,  18355,  18737,  19976, 
/* msg =   6287, deg =  6 */     80,   3430,   4067,  10010,  14092,  18618, 
/* msg =   6288, deg =  6 */   3209,   7734,   9236,  15554,  18316,  18526, 
/* msg =   6289, deg =  6 */    335,   4332,   8593,  12676,  13782,  16346, 
/* msg =   6290, deg =  6 */   4577,   5913,   8475,  13582,  14755,  15024, 
/* msg =   6291, deg =  6 */   2439,   6115,   7248,  15591,  17600,  19295, 
/* msg =   6292, deg =  6 */   3254,   7410,   8210,  11830,  15145,  18669, 
/* msg =   6293, deg =  6 */   4078,   4403,   9124,  16284,  16437,  18614, 
/* msg =   6294, deg =  6 */   1221,   8216,   9052,  11768,  11877,  15975, 
/* msg =   6295, deg =  6 */   4494,   6377,   8922,  12389,  17852,  19293, 
/* msg =   6296, deg =  6 */   1073,   4255,   8474,  12723,  15454,  16340, 
/* msg =   6297, deg =  6 */   1196,   3767,   3834,  16496,  17126,  19529, 
/* msg =   6298, deg =  6 */      6,   3428,   7507,  13420,  15242,  19211, 
/* msg =   6299, deg =  6 */   5232,   6411,   7731,  10351,  12074,  16384, 
/* msg =   6300, deg =  6 */    134,   5602,   7344,  15207,  16701,  19591, 
/* msg =   6301, deg =  6 */   1222,   1625,   9741,  10769,  12481,  17654, 
/* msg =   6302, deg =  6 */   1330,   2268,   9344,  10799,  14294,  16393, 
/* msg =   6303, deg =  6 */   1266,   3602,   7479,  10754,  15203,  18157, 
/* msg =   6304, deg =  6 */   2777,   3846,   8514,  13773,  16600,  19114, 
/* msg =   6305, deg =  6 */   2953,   6179,   8645,  12756,  16969,  17216, 
/* msg =   6306, deg =  6 */   3917,   4355,   8418,  10432,  11930,  12091, 
/* msg =   6307, deg =  6 */    526,   9374,   9825,  11337,  15531,  18094, 
/* msg =   6308, deg =  6 */   4405,   5473,   6066,  10419,  15222,  19926, 
/* msg =   6309, deg =  6 */   2946,   5042,   7644,  14464,  16075,  17482, 
/* msg =   6310, deg =  6 */    959,   1671,   1866,  12282,  14344,  15662, 
/* msg =   6311, deg =  6 */   1605,   2525,   3322,  12158,  12752,  15457, 
/* msg =   6312, deg =  6 */    917,   4739,   9724,  11978,  15736,  16723, 
/* msg =   6313, deg =  6 */   1035,   8280,   9946,  11212,  13873,  15144, 
/* msg =   6314, deg =  6 */   4741,   6413,   7751,  12390,  14993,  19338, 
/* msg =   6315, deg =  6 */   2450,   9735,   9919,  15957,  17351,  17775, 
/* msg =   6316, deg =  6 */   3825,   4201,   5581,  12935,  15170,  17018, 
/* msg =   6317, deg =  6 */    597,   1288,   4406,  12295,  12648,  18543, 
/* msg =   6318, deg =  6 */   1128,   3985,   4557,  11916,  17339,  17655, 
/* msg =   6319, deg =  6 */   3855,   5229,   6315,  11790,  15136,  18612, 
/* msg =   6320, deg =  6 */    982,   2616,   6154,  10909,  19806,  19959, 
/* msg =   6321, deg =  6 */    536,   1304,   2547,  10852,  12461,  16676, 
/* msg =   6322, deg =  6 */    100,   3505,   8032,  17420,  18409,  19589, 
/* msg =   6323, deg =  6 */   6337,   7503,   9508,  10444,  15927,  18665, 
/* msg =   6324, deg =  6 */    652,   4043,   5125,  11073,  12425,  13155, 
/* msg =   6325, deg =  6 */    175,   1790,   9394,  14787,  15283,  19692, 
/* msg =   6326, deg =  6 */   2143,   3562,   5462,  11380,  12988,  14685, 
/* msg =   6327, deg =  6 */   5585,   5781,   8937,  11459,  14856,  15910, 
/* msg =   6328, deg =  6 */   3693,   8765,   9418,  17938,  18492,  19022, 
/* msg =   6329, deg =  6 */   6072,   7001,   8291,  11046,  13079,  16500, 
/* msg =   6330, deg =  6 */   1132,   1235,   2936,  12803,  14436,  19844, 
/* msg =   6331, deg =  6 */   1831,   4393,   6407,  10748,  16613,  19768, 
/* msg =   6332, deg =  6 */    129,   1068,   7750,  10742,  14780,  15407, 
/* msg =   6333, deg =  6 */   6205,   6394,   6554,  16081,  18902,  19409, 
/* msg =   6334, deg =  6 */    802,   2069,   7829,  11374,  16299,  19385, 
/* msg =   6335, deg =  6 */    824,    993,   7927,  12561,  13986,  17721, 
/* msg =   6336, deg =  6 */   2965,   5846,   7426,  13256,  17383,  18520, 
/* msg =   6337, deg =  6 */   1490,   2707,   4297,  13037,  14253,  14606, 
/* msg =   6338, deg =  6 */   3018,   3188,   8122,  12951,  15883,  16737, 
/* msg =   6339, deg =  6 */   2042,   2088,   8520,  10928,  13380,  18567, 
/* msg =   6340, deg =  6 */   1072,   5400,   6217,  10605,  14574,  18878, 
/* msg =   6341, deg =  6 */   1112,   4388,   5773,  11151,  15012,  15745, 
/* msg =   6342, deg =  6 */    729,   2191,   9549,  13261,  14143,  18041, 
/* msg =   6343, deg =  6 */   1446,   1847,   5554,  10104,  11950,  12795, 
/* msg =   6344, deg =  6 */   1381,   1625,   5000,  13220,  14092,  14229, 
/* msg =   6345, deg =  6 */   3570,   7390,   9971,  11545,  14530,  15786, 
/* msg =   6346, deg =  6 */   2890,   3071,   8714,  13240,  13634,  15197, 
/* msg =   6347, deg =  6 */   7419,   9050,   9269,  12933,  13626,  15734, 
/* msg =   6348, deg =  6 */   2622,   9957,   9981,  10146,  11708,  19614, 
/* msg =   6349, deg =  6 */   3575,   6295,   9373,  10818,  12682,  16772, 
/* msg =   6350, deg =  6 */    671,   2091,   9297,  10854,  15580,  18275, 
/* msg =   6351, deg =  6 */   4201,   7334,   8856,  11242,  12568,  15947, 
/* msg =   6352, deg =  6 */   2094,   8355,   9215,  10197,  10947,  14854, 
/* msg =   6353, deg =  6 */   1081,   3454,   7417,  13992,  19467,  19611, 
/* msg =   6354, deg =  6 */   2509,   6862,   8279,  13832,  14031,  16185, 
/* msg =   6355, deg =  6 */    847,   3275,   9230,  16646,  17421,  18618, 
/* msg =   6356, deg =  6 */    479,   3771,   6767,  11016,  14701,  14836, 
/* msg =   6357, deg =  6 */   1066,   1784,   8387,  10588,  11113,  16111, 
/* msg =   6358, deg =  6 */   8331,   8794,   9228,  17387,  17467,  19273, 
/* msg =   6359, deg =  6 */    826,   6771,   7198,  15003,  18666,  19592, 
/* msg =   6360, deg =  6 */   2405,   2926,   3306,  13569,  17037,  18471, 
/* msg =   6361, deg =  6 */   1759,   2763,   7747,  15486,  16265,  18869, 
/* msg =   6362, deg =  6 */   1145,   5706,   8654,  14875,  19190,  19870, 
/* msg =   6363, deg =  6 */   3211,   6795,   8068,  17708,  18494,  19091, 
/* msg =   6364, deg =  6 */   4865,   7539,   9393,  15315,  16933,  18043, 
/* msg =   6365, deg =  6 */   2685,   3611,   4848,  13919,  15964,  19187, 
/* msg =   6366, deg =  6 */    947,   1582,   3284,  12018,  13847,  14716, 
/* msg =   6367, deg =  6 */   3431,   3961,   8443,  15740,  18112,  18261, 
/* msg =   6368, deg =  6 */   1279,   5109,   6074,  11949,  13848,  16083, 
/* msg =   6369, deg =  6 */   6446,   7569,   9027,  10600,  19762,  19863, 
/* msg =   6370, deg =  6 */   1492,   5709,   6266,  13093,  13927,  14773, 
/* msg =   6371, deg =  6 */   1975,   2433,   4601,  10474,  11100,  18534, 
/* msg =   6372, deg =  6 */   1338,   9810,   9861,  12536,  16708,  17622, 
/* msg =   6373, deg =  6 */   2692,   6223,   9691,  12725,  14564,  18422, 
/* msg =   6374, deg =  6 */    901,   4318,   6868,  13049,  17205,  19520, 
/* msg =   6375, deg =  6 */   1184,   3702,   3740,  15064,  16478,  17888, 
/* msg =   6376, deg =  6 */    380,   5501,   8595,  12262,  12684,  14824, 
/* msg =   6377, deg =  6 */   3694,   9905,   9936,  14498,  17699,  18346, 
/* msg =   6378, deg =  6 */   5946,   6959,   8850,  11333,  12629,  16668, 
/* msg =   6379, deg =  6 */    457,    739,   1599,  12678,  14024,  19307, 
/* msg =   6380, deg =  6 */    960,   3047,   3600,  10456,  14872,  16058, 
/* msg =   6381, deg =  6 */    784,   3238,   7953,  11432,  16366,  17267, 
/* msg =   6382, deg =  6 */   1454,   1717,   9980,  10146,  10770,  19343, 
/* msg =   6383, deg =  6 */   1888,   4514,   5714,  11836,  15012,  19606, 
/* msg =   6384, deg =  6 */   1329,   1861,   1951,  12711,  12894,  17518, 
/* msg =   6385, deg =  6 */   7252,   7377,   9132,  14731,  15344,  18636, 
/* msg =   6386, deg =  6 */    209,   7554,   8921,  11243,  15574,  15628, 
/* msg =   6387, deg =  6 */   1550,   9171,   9521,  13386,  18000,  18648, 
/* msg =   6388, deg =  6 */   1685,   3838,   8766,  16651,  16973,  19078, 
/* msg =   6389, deg =  6 */   2869,   8985,   9370,  10197,  17747,  18049, 
/* msg =   6390, deg =  6 */    482,   3637,   8674,  11404,  11623,  17380, 
/* msg =   6391, deg =  6 */   5450,   6562,   6662,  13275,  15391,  18664, 
/* msg =   6392, deg =  6 */   1912,   6128,   6488,  10026,  11874,  12870, 
/* msg =   6393, deg =  6 */   1377,   5611,   7583,  14005,  15789,  19257, 
/* msg =   6394, deg =  6 */    630,   1382,   5969,  13387,  13967,  17546, 
/* msg =   6395, deg =  6 */   1226,   5221,   8757,  13130,  13771,  17266, 
/* msg =   6396, deg =  6 */   1356,   8303,   9416,  14740,  19375,  19910, 
/* msg =   6397, deg =  6 */   2345,   3688,   7250,  10835,  19544,  19956, 
/* msg =   6398, deg =  6 */   5630,   8487,   8827,  13729,  15309,  19434, 
/* msg =   6399, deg =  6 */   4140,   4857,   9607,  12198,  14646,  19271, 
/* msg =   6400, deg =  6 */   3113,   4261,   8048,  11035,  12950,  19044, 
/* msg =   6401, deg =  6 */   3334,   5271,   7568,  11061,  14177,  16424, 
/* msg =   6402, deg =  6 */   2658,   4298,   9467,  12069,  15584,  18642, 
/* msg =   6403, deg =  6 */    860,   1350,   4890,  15034,  15801,  19408, 
/* msg =   6404, deg =  6 */   6894,   8147,   9922,  12347,  12663,  17906, 
/* msg =   6405, deg =  6 */    477,   7971,   8034,  16937,  17222,  17889, 
/* msg =   6406, deg =  6 */   4339,   6903,   7656,  17511,  19011,  19279, 
/* msg =   6407, deg =  6 */     58,   7402,   9680,  10742,  11550,  12050, 
/* msg =   6408, deg =  6 */   1790,   1880,   7096,  10637,  14561,  15537, 
/* msg =   6409, deg =  6 */   4013,   5372,   9315,  14277,  15311,  18140, 
/* msg =   6410, deg =  6 */   2684,   4654,   9011,  10244,  15427,  17883, 
/* msg =   6411, deg =  6 */   2629,   8293,   8518,  10457,  14377,  17681, 
/* msg =   6412, deg =  6 */   3881,   4315,   8215,  11257,  12284,  13106, 
/* msg =   6413, deg =  6 */   2124,   3945,   8130,  11502,  11615,  13532, 
/* msg =   6414, deg =  6 */   4937,   7537,   7832,  12734,  15534,  17073, 
/* msg =   6415, deg =  6 */   2779,   8113,   9354,  14620,  18457,  18517, 
/* msg =   6416, deg =  6 */   1914,   3010,   3417,  10561,  12180,  19816, 
/* msg =   6417, deg =  6 */   4586,   6132,   8937,  14146,  16998,  17604, 
/* msg =   6418, deg =  6 */   1336,   4938,   8930,  13225,  14090,  19133, 
/* msg =   6419, deg =  6 */   7166,   7457,   9167,  16788,  16995,  17697, 
/* msg =   6420, deg =  6 */   4284,   5701,   6625,  12816,  14072,  17953, 
/* msg =   6421, deg =  6 */   4113,   5556,   7217,  10140,  14401,  17854, 
/* msg =   6422, deg =  6 */    946,   2538,   9393,  10504,  12692,  18680, 
/* msg =   6423, deg =  6 */   1110,   5061,   6194,  14122,  15892,  19696, 
/* msg =   6424, deg =  6 */   3590,   3729,   7172,  15137,  15414,  16272, 
/* msg =   6425, deg =  6 */   2549,   3957,   6085,  11520,  16113,  17613, 
/* msg =   6426, deg =  6 */   7095,   7735,   8252,  10900,  14300,  17863, 
/* msg =   6427, deg =  6 */   2409,   6695,   8181,  13509,  13660,  15392, 
/* msg =   6428, deg =  6 */   4838,   5761,   7363,  11093,  15149,  19314, 
/* msg =   6429, deg =  6 */   8461,   8887,   9839,  11563,  16976,  19746, 
/* msg =   6430, deg =  6 */   6383,   7230,   8334,  13251,  15473,  19937, 
/* msg =   6431, deg =  6 */   1355,   5759,   6211,  11123,  16596,  17831, 
/* msg =   6432, deg =  6 */   5760,   6657,   8833,  11285,  15923,  18484, 
/* msg =   6433, deg =  6 */   1524,   4102,   8473,  14660,  14733,  17690, 
/* msg =   6434, deg =  6 */    844,   5288,   6528,  10350,  14566,  16250, 
/* msg =   6435, deg =  6 */   4541,   6445,   7836,  15162,  17959,  18469, 
/* msg =   6436, deg =  6 */   3667,   5298,   6299,  11377,  12409,  17132, 
/* msg =   6437, deg =  6 */   1390,   1796,   8077,  10581,  13568,  18031, 
/* msg =   6438, deg =  6 */    202,   7578,   9340,  10386,  13938,  14862, 
/* msg =   6439, deg =  6 */   8038,   9314,   9704,  15998,  17711,  19188, 
/* msg =   6440, deg =  6 */    318,   1382,   7159,  14882,  15673,  18628, 
/* msg =   6441, deg =  6 */   6086,   7174,   9026,  11310,  12793,  18103, 
/* msg =   6442, deg =  6 */    989,   5072,   9034,  15771,  17419,  19031, 
/* msg =   6443, deg =  6 */   3405,   4435,   6207,  11436,  19402,  19827, 
/* msg =   6444, deg =  6 */    203,   5074,   9902,  13422,  14361,  18281, 
/* msg =   6445, deg =  6 */    505,   4188,   5485,  10925,  10978,  12898, 
/* msg =   6446, deg =  6 */   3926,   6007,   6349,  11043,  12829,  12833, 
/* msg =   6447, deg =  6 */   2456,   4465,   5762,  11500,  17165,  18357, 
/* msg =   6448, deg =  6 */    519,    878,   2271,  10302,  13471,  17342, 
/* msg =   6449, deg =  6 */   3348,   4778,   6310,  12772,  12971,  19704, 
/* msg =   6450, deg =  6 */   1537,   2769,   4256,  14887,  16994,  17627, 
/* msg =   6451, deg =  6 */   3312,   4523,   8512,  12222,  13270,  17288, 
/* msg =   6452, deg =  6 */   1954,   5338,   9321,  13510,  13720,  19836, 
/* msg =   6453, deg =  6 */   2961,   4231,   8002,  10646,  17135,  18504, 
/* msg =   6454, deg =  6 */   2577,   5690,   7258,  11476,  15078,  19195, 
/* msg =   6455, deg =  6 */   4765,   6090,   8786,  13085,  16902,  18020, 
/* msg =   6456, deg =  6 */    311,   4091,   6753,  14326,  17283,  19436, 
/* msg =   6457, deg =  6 */   3147,   4089,   7290,  10541,  18177,  18336, 
/* msg =   6458, deg =  6 */   4301,   5959,   8640,  11300,  15275,  18141, 
/* msg =   6459, deg =  6 */    684,   5879,   8719,  10003,  11539,  19211, 
/* msg =   6460, deg =  6 */    948,   1663,   6758,  11527,  12952,  19280, 
/* msg =   6461, deg =  6 */    902,   2699,   5073,  11723,  12615,  15487, 
/* msg =   6462, deg =  6 */   3324,   3387,   9505,  12240,  13628,  15532, 
/* msg =   6463, deg =  6 */   1524,   4096,   8154,  11679,  14519,  18586, 
/* msg =   6464, deg =  6 */   3417,   7948,   9466,  12588,  12843,  16463, 
/* msg =   6465, deg =  6 */   2911,   6393,   9064,  12857,  14689,  17122, 
/* msg =   6466, deg =  6 */   1043,   2963,   7745,  11787,  12739,  19298, 
/* msg =   6467, deg =  6 */    624,   1240,   5502,  14638,  17488,  18283, 
/* msg =   6468, deg =  6 */   7100,   7517,   8219,  10734,  14455,  18269, 
/* msg =   6469, deg =  6 */   3857,   6527,   6946,  13173,  13243,  14068, 
/* msg =   6470, deg =  6 */    573,   1857,   4644,  17614,  18278,  18953, 
/* msg =   6471, deg =  6 */   4521,   5332,   9093,  11541,  12253,  14941, 
/* msg =   6472, deg =  6 */   6498,   7374,   9751,  12953,  15814,  16524, 
/* msg =   6473, deg =  6 */    373,   4728,   9596,  11216,  14803,  16580, 
/* msg =   6474, deg =  6 */   2855,   4030,   9517,  15312,  16303,  17737, 
/* msg =   6475, deg =  6 */   1645,   4456,   5223,  11559,  15374,  16647, 
/* msg =   6476, deg =  6 */   3123,   5022,   5209,  11438,  12526,  17834, 
/* msg =   6477, deg =  6 */   6039,   7233,   9226,  12289,  17581,  18218, 
/* msg =   6478, deg =  6 */   6702,   7013,   9935,  12152,  13968,  17490, 
/* msg =   6479, deg =  6 */   4240,   5230,   8749,  10396,  14119,  18191, 
/* msg =   6480, deg =  6 */   6813,   7822,   9377,  10424,  13208,  19811, 
/* msg =   6481, deg =  6 */    765,   4264,   6926,  14454,  15094,  15175, 
/* msg =   6482, deg =  6 */   1487,   2167,   4188,  13197,  14108,  19530, 
/* msg =   6483, deg =  6 */    376,   2474,   7817,  10613,  13745,  14058, 
/* msg =   6484, deg =  6 */   3055,   9185,   9870,  15354,  18140,  18610, 
/* msg =   6485, deg =  6 */   6607,   7022,   9416,  12956,  13383,  19984, 
/* msg =   6486, deg =  6 */   2386,   2911,   9077,  12625,  17465,  18114, 
/* msg =   6487, deg =  6 */   3563,   8399,   8820,  10982,  11339,  18958, 
/* msg =   6488, deg =  6 */    445,   3749,   7405,  12812,  17140,  19272, 
/* msg =   6489, deg =  6 */   1485,   2728,   2949,  16166,  19265,  19640, 
/* msg =   6490, deg =  6 */    588,   3639,   4718,  17557,  18376,  19250, 
/* msg =   6491, deg =  6 */     78,   7251,   9262,  11145,  15381,  15704, 
/* msg =   6492, deg =  6 */    425,   7392,   7806,  10688,  12428,  15677, 
/* msg =   6493, deg =  6 */   4183,   5741,   7324,  10169,  12462,  13764, 
/* msg =   6494, deg =  6 */   1872,   7525,   9142,  15716,  17346,  19107, 
/* msg =   6495, deg =  6 */     83,   7623,   8698,  11307,  13841,  19536, 
/* msg =   6496, deg =  6 */   1876,   3427,   3446,  10814,  15707,  16307, 
/* msg =   6497, deg =  6 */   2840,   8912,   9941,  18303,  18883,  19777, 
/* msg =   6498, deg =  6 */    233,   6739,   9665,  13533,  19296,  19855, 
/* msg =   6499, deg =  6 */   6073,   8056,   8728,  14800,  16178,  17307, 
/* msg =   6500, deg =  6 */    726,   5497,   6432,  11105,  14420,  16256, 
/* msg =   6501, deg =  6 */   4730,   5713,   8065,  16684,  18181,  19812, 
/* msg =   6502, deg =  6 */    458,   3104,   8795,  11709,  12018,  14400, 
/* msg =   6503, deg =  6 */   2973,   4872,   9294,  14072,  15618,  19275, 
/* msg =   6504, deg =  6 */     21,   7902,   8174,  11882,  12133,  13759, 
/* msg =   6505, deg =  6 */    388,    853,   1302,  16044,  16494,  19339, 
/* msg =   6506, deg =  6 */   7436,   9560,   9767,  11036,  17688,  19429, 
/* msg =   6507, deg =  6 */   6670,   9320,   9529,  11203,  13345,  13434, 
/* msg =   6508, deg =  6 */   3557,   5657,   6566,  10973,  12569,  17276, 
/* msg =   6509, deg =  6 */   2100,   3914,   9851,  11305,  13832,  19766, 
/* msg =   6510, deg =  6 */   6334,   6999,   7321,  13730,  16482,  18304, 
/* msg =   6511, deg =  6 */   3040,   6605,   9510,  10413,  10422,  10467, 
/* msg =   6512, deg =  6 */   4095,   5496,   9474,  10065,  10375,  17826, 
/* msg =   6513, deg =  6 */   1357,   4745,   9385,  10778,  11137,  15295, 
/* msg =   6514, deg =  6 */    710,   5387,   8958,  11303,  16975,  19229, 
/* msg =   6515, deg =  6 */   5230,   8058,   8539,  12829,  14932,  16507, 
/* msg =   6516, deg =  6 */    532,   6703,   9574,  14189,  15443,  16291, 
/* msg =   6517, deg =  6 */   3481,   5583,   5606,  11772,  16180,  18757, 
/* msg =   6518, deg =  6 */   2767,   4397,   6314,  14386,  17075,  17427, 
/* msg =   6519, deg =  6 */   1849,   4512,   5515,  10028,  14576,  18674, 
/* msg =   6520, deg =  6 */   4613,   5930,   7179,  12269,  12617,  17394, 
/* msg =   6521, deg =  6 */   1653,   3399,   6807,  13305,  13601,  14354, 
/* msg =   6522, deg =  6 */    373,    777,   8028,  16421,  17446,  19496, 
/* msg =   6523, deg =  6 */    409,   4831,   8693,  13848,  14749,  18644, 
/* msg =   6524, deg =  6 */   1721,   3667,   4185,  11705,  17466,  18078, 
/* msg =   6525, deg =  6 */   1415,   2408,   3813,  10981,  14649,  16561, 
/* msg =   6526, deg =  6 */   1409,   4108,   4349,  14501,  15187,  19525, 
/* msg =   6527, deg =  6 */    397,   5542,   8095,  11020,  12694,  14838, 
/* msg =   6528, deg =  6 */   1906,   2035,   3063,  10640,  12442,  12925, 
/* msg =   6529, deg =  6 */   1074,   5941,   9300,  11096,  12662,  16073, 
/* msg =   6530, deg =  6 */    410,   5384,   8897,  13267,  14794,  15263, 
/* msg =   6531, deg =  6 */   1986,   5002,   8797,  12438,  16449,  17668, 
/* msg =   6532, deg =  6 */    368,   3088,   3333,  14524,  15097,  15683, 
/* msg =   6533, deg =  6 */   5091,   5803,   6640,  12087,  17046,  19236, 
/* msg =   6534, deg =  6 */   5978,   7140,   8203,  17129,  18267,  19251, 
/* msg =   6535, deg =  6 */   2541,   2664,   3890,  11820,  17399,  19543, 
/* msg =   6536, deg =  6 */   7660,   7665,   9586,  10442,  10891,  11719, 
/* msg =   6537, deg =  6 */   2696,   4464,   8175,  10556,  13520,  17550, 
/* msg =   6538, deg =  6 */   3001,   5117,   6923,  10430,  11771,  13866, 
/* msg =   6539, deg =  6 */   1832,   5506,   7479,  12096,  15280,  19520, 
/* msg =   6540, deg =  6 */   5892,   9326,   9455,  12815,  14599,  15893, 
/* msg =   6541, deg =  6 */   1325,   5517,   7074,  11954,  12839,  14869, 
/* msg =   6542, deg =  6 */   1343,   1553,   7493,  15655,  16560,  19007, 
/* msg =   6543, deg =  6 */   3449,   3625,   6381,  10868,  18642,  19570, 
/* msg =   6544, deg =  6 */   2675,   3332,   9543,  10043,  12175,  18287, 
/* msg =   6545, deg =  6 */   2252,   9492,   9806,  15154,  16940,  19309, 
/* msg =   6546, deg =  6 */   3770,   6970,   8153,  13078,  15970,  17867, 
/* msg =   6547, deg =  6 */   2707,   4512,   5824,  11541,  12687,  19877, 
/* msg =   6548, deg =  6 */   3641,   6886,   8579,  12816,  15094,  19653, 
/* msg =   6549, deg =  6 */   8029,   8041,   8429,  14566,  16505,  19555, 
/* msg =   6550, deg =  6 */   5355,   8265,   8577,  10056,  11316,  17466, 
/* msg =   6551, deg =  6 */   5896,   6768,   9997,  10657,  13787,  18706, 
/* msg =   6552, deg =  6 */    954,   2305,   4153,  16514,  16949,  18803, 
/* msg =   6553, deg =  6 */   7256,   7553,   9264,  10013,  13510,  19416, 
/* msg =   6554, deg =  6 */   1695,   4010,   6384,  14051,  16643,  17898, 
/* msg =   6555, deg =  6 */   6382,   6520,   8675,  12377,  17095,  17305, 
/* msg =   6556, deg =  6 */   7170,   7322,   8350,  10103,  11706,  13881, 
/* msg =   6557, deg =  6 */   1459,   6779,   8434,  10275,  11885,  16775, 
/* msg =   6558, deg =  6 */    229,   4453,   7271,  11072,  19373,  19601, 
/* msg =   6559, deg =  6 */    121,    612,   4019,  10156,  12067,  19298, 
/* msg =   6560, deg =  6 */   2502,   7450,   9685,  10958,  15261,  19796, 
/* msg =   6561, deg =  6 */   1139,   1246,   4322,  12565,  14851,  15197, 
/* msg =   6562, deg =  6 */   6542,   7210,   7251,  15199,  15863,  17817, 
/* msg =   6563, deg =  6 */    397,   5623,   9666,  13514,  17433,  19631, 
/* msg =   6564, deg =  6 */   7594,   7714,   7739,  13914,  16726,  19469, 
/* msg =   6565, deg =  6 */    293,   3174,   4072,  11063,  13014,  18098, 
/* msg =   6566, deg =  6 */   2109,   3239,   9632,  10286,  17896,  18188, 
/* msg =   6567, deg =  6 */    312,    903,    929,  12241,  16087,  17087, 
/* msg =   6568, deg =  6 */   4600,   6838,   7309,  10637,  12589,  17777, 
/* msg =   6569, deg =  6 */   3450,   6777,   9456,  10157,  10549,  17348, 
/* msg =   6570, deg =  6 */   3094,   5576,   7117,  15552,  16779,  19387, 
/* msg =   6571, deg =  6 */   1583,   5996,   8034,  13121,  16779,  19943, 
/* msg =   6572, deg =  6 */   2227,   6403,   8299,  10543,  17007,  19513, 
/* msg =   6573, deg =  6 */   2546,   4187,   7958,  14512,  17417,  18507, 
/* msg =   6574, deg =  6 */   2547,   3347,   3888,  14302,  16959,  19105, 
/* msg =   6575, deg =  6 */    667,   3160,   7394,  10585,  10712,  19741, 
/* msg =   6576, deg =  6 */   2467,   3965,   5148,  13408,  13555,  17017, 
/* msg =   6577, deg =  6 */   4562,   4615,   7412,  13712,  14991,  19303, 
/* msg =   6578, deg =  6 */   3152,   4446,   8855,  15222,  15930,  16503, 
/* msg =   6579, deg =  6 */   1548,   4818,   6086,  11515,  13588,  17336, 
/* msg =   6580, deg =  6 */   6655,   8151,   9074,  11142,  13284,  18715, 
/* msg =   6581, deg =  6 */     76,   3872,   4878,  11271,  15928,  19295, 
/* msg =   6582, deg =  6 */   3584,   3721,   6053,  12782,  13036,  19506, 
/* msg =   6583, deg =  6 */     30,   5273,   5966,  14932,  17324,  17984, 
/* msg =   6584, deg =  6 */   4537,   7692,   8032,  13128,  15536,  15856, 
/* msg =   6585, deg =  6 */   7438,   8050,   8228,  10230,  13898,  15042, 
/* msg =   6586, deg =  6 */    209,   5493,   5536,  12881,  18812,  19539, 
/* msg =   6587, deg =  6 */    468,   3203,   6572,  19119,  19429,  19462, 
/* msg =   6588, deg =  6 */   1520,   8121,   8677,  11688,  12932,  14352, 
/* msg =   6589, deg =  6 */   2402,   8698,   9119,  11298,  19221,  19791, 
/* msg =   6590, deg =  6 */    840,   3079,   6447,  14068,  14612,  18654, 
/* msg =   6591, deg =  6 */   7433,   9081,   9563,  10960,  12504,  13737, 
/* msg =   6592, deg =  6 */    348,   1387,   8526,  14401,  15559,  19850, 
/* msg =   6593, deg =  6 */   3316,   3544,   9000,  12098,  14629,  15881, 
/* msg =   6594, deg =  6 */    700,   2204,   9519,  12227,  14760,  16904, 
/* msg =   6595, deg =  6 */    341,   5240,   6891,  10656,  15869,  16845, 
/* msg =   6596, deg =  6 */   1891,   2456,   4474,  10572,  13123,  14469, 
/* msg =   6597, deg =  6 */   1519,   3251,   8697,  13836,  18899,  19797, 
/* msg =   6598, deg =  6 */   5001,   7360,   8529,  10089,  14283,  15519, 
/* msg =   6599, deg =  6 */   5989,   6306,   8337,  11515,  13010,  18724, 
/* msg =   6600, deg =  6 */    219,   5828,   7831,  12636,  18038,  19313, 
/* msg =   6601, deg =  6 */   1668,   5795,   8700,  13147,  13746,  18413, 
/* msg =   6602, deg =  6 */   4458,   7585,   9109,  10561,  18614,  19914, 
/* msg =   6603, deg =  6 */   4080,   7285,   9492,  13300,  15139,  18972, 
/* msg =   6604, deg =  6 */   2981,   4887,   7651,  16139,  18577,  19869, 
/* msg =   6605, deg =  6 */    368,    567,   5971,  11198,  13960,  15708, 
/* msg =   6606, deg =  6 */   4786,   4856,   6661,  13181,  14663,  18513, 
/* msg =   6607, deg =  6 */    261,   6942,   9890,  16309,  17744,  18956, 
/* msg =   6608, deg =  6 */   3900,   5330,   6116,  10289,  11925,  11984, 
/* msg =   6609, deg =  6 */   6128,   6665,   9080,  12737,  13692,  14247, 
/* msg =   6610, deg =  6 */   4786,   5621,   8582,  15272,  18813,  19121, 
/* msg =   6611, deg =  6 */   8985,   9226,   9349,  11456,  16679,  19827, 
/* msg =   6612, deg =  6 */   6240,   7428,   7969,  10123,  15642,  18536, 
/* msg =   6613, deg =  6 */   5995,   8158,   9488,  18983,  19859,  19879, 
/* msg =   6614, deg =  6 */   5296,   6218,   7869,  10056,  12208,  16903, 
/* msg =   6615, deg =  6 */   6090,   6496,   9064,  12190,  13477,  17071, 
/* msg =   6616, deg =  6 */   4829,   5060,   8721,  11027,  17640,  18794, 
/* msg =   6617, deg =  6 */   2170,   4077,   6750,  12713,  15855,  19023, 
/* msg =   6618, deg =  6 */   3892,   6103,   9304,  11563,  15640,  18043, 
/* msg =   6619, deg =  6 */     98,    226,   1279,  10358,  15390,  19819, 
/* msg =   6620, deg =  6 */     31,    579,   1719,  15796,  16166,  16329, 
/* msg =   6621, deg =  6 */   4989,   5025,   9773,  11158,  14881,  16722, 
/* msg =   6622, deg =  6 */   2338,   3981,   6766,  15072,  15829,  19660, 
/* msg =   6623, deg =  6 */   2606,   5445,   6397,  13534,  14969,  19215, 
/* msg =   6624, deg =  6 */    338,   1944,   3386,  10426,  19355,  19967, 
/* msg =   6625, deg =  6 */   2631,   5854,   7445,  14022,  15605,  18566, 
/* msg =   6626, deg =  6 */   1879,   7083,   9060,  13894,  15378,  15735, 
/* msg =   6627, deg =  6 */   1404,   2203,   5508,  12685,  17846,  19110, 
/* msg =   6628, deg =  6 */   1997,   5886,   8238,  12769,  13707,  14654, 
/* msg =   6629, deg =  6 */    770,   2605,   5489,  14145,  15423,  16740, 
/* msg =   6630, deg =  6 */    584,   5543,   9341,  11054,  12251,  18674, 
/* msg =   6631, deg =  6 */   1803,   9417,   9460,  15062,  18049,  19140, 
/* msg =   6632, deg =  6 */   5472,   5972,   8416,  13867,  17533,  18239, 
/* msg =   6633, deg =  6 */    191,   1757,   9041,  10113,  12599,  17096, 
/* msg =   6634, deg =  6 */   2171,   2449,   5334,  10752,  17784,  19716, 
/* msg =   6635, deg =  6 */   1960,   3489,   6756,  10420,  12661,  15141, 
/* msg =   6636, deg =  6 */    409,   2521,   5086,  10533,  12676,  14844, 
/* msg =   6637, deg =  6 */   2201,   2997,   6974,  17864,  19417,  19512, 
/* msg =   6638, deg =  6 */   3586,   5012,   5020,  11701,  12696,  18148, 
/* msg =   6639, deg =  6 */   3612,   3981,   7535,  10241,  10844,  11740, 
/* msg =   6640, deg =  6 */   4122,   4230,   8464,  10524,  11143,  15544, 
/* msg =   6641, deg =  6 */   3431,   9035,   9729,  15543,  15913,  19336, 
/* msg =   6642, deg =  6 */   1727,   4276,   5922,  11488,  16805,  17912, 
/* msg =   6643, deg =  6 */   3606,   7189,   7631,  11414,  12603,  14359, 
/* msg =   6644, deg =  6 */   3394,   4220,   7340,  10955,  16283,  18777, 
/* msg =   6645, deg =  6 */   5025,   7121,   7237,  12549,  12729,  17645, 
/* msg =   6646, deg =  6 */   2619,   3377,   4365,  11376,  13828,  18919, 
/* msg =   6647, deg =  6 */   1029,   4397,   9410,  13614,  13852,  14865, 
/* msg =   6648, deg =  6 */   6185,   7256,   7325,  14920,  18891,  19602, 
/* msg =   6649, deg =  6 */   2279,   2475,   6453,  13450,  15331,  19375, 
/* msg =   6650, deg =  6 */   4846,   5967,   6479,  10801,  14236,  18474, 
/* msg =   6651, deg =  6 */   5091,   7798,   9293,  14985,  15746,  18959, 
/* msg =   6652, deg =  6 */   1495,   4815,   9774,  14569,  16092,  17934, 
/* msg =   6653, deg =  6 */   2849,   3597,   4186,  10533,  13343,  17945, 
/* msg =   6654, deg =  6 */   4407,   7388,   7569,  13951,  17496,  19760, 
/* msg =   6655, deg =  6 */   8397,   9013,   9570,  14173,  17781,  19051, 
/* msg =   6656, deg =  6 */   1386,   3991,   8171,  10430,  15043,  15616, 
/* msg =   6657, deg =  6 */    376,   2648,   5775,  12501,  18077,  18565, 
/* msg =   6658, deg =  6 */    208,   7593,   8929,  11794,  12900,  16795, 
/* msg =   6659, deg =  6 */   1989,   7167,   8538,  10014,  13905,  16555, 
/* msg =   6660, deg =  6 */   2886,   3886,   9511,  15332,  15533,  16413, 
/* msg =   6661, deg =  6 */    578,   2714,   3580,  14788,  15249,  17277, 
/* msg =   6662, deg =  6 */   2907,   3979,   5859,  12701,  14934,  18151, 
/* msg =   6663, deg =  6 */   6584,   7078,   9477,  13970,  17151,  19542, 
/* msg =   6664, deg =  6 */   1209,   7039,   7118,  10270,  11383,  17315, 
/* msg =   6665, deg =  6 */   2803,   5973,   8776,  12141,  15475,  16339, 
/* msg =   6666, deg =  6 */   5268,   6025,   7983,  14958,  16590,  17650, 
/* msg =   6667, deg =  6 */   2449,   2817,   3706,  15882,  17423,  17615, 
/* msg =   6668, deg =  6 */   1222,   3347,   8022,  11172,  12480,  16675, 
/* msg =   6669, deg =  6 */    539,   2220,   8377,  13725,  15994,  18143, 
/* msg =   6670, deg =  6 */   3205,   8160,   9444,  10257,  13305,  16368, 
/* msg =   6671, deg =  6 */   1173,   7619,   7728,  11269,  11868,  17613, 
/* msg =   6672, deg =  6 */   1535,   2811,   3518,  14676,  15253,  16674, 
/* msg =   6673, deg =  6 */   6387,   6825,   6855,  13783,  15500,  18698, 
/* msg =   6674, deg =  6 */   4930,   7318,   8444,  11235,  14037,  19700, 
/* msg =   6675, deg =  6 */    115,    961,   6270,  10023,  12470,  18159, 
/* msg =   6676, deg =  6 */   2930,   3423,   7361,  11082,  11584,  12540, 
/* msg =   6677, deg =  6 */   4999,   5446,   8869,  10423,  10942,  17419, 
/* msg =   6678, deg =  6 */   2370,   5957,   9289,  13549,  15800,  18916, 
/* msg =   6679, deg =  6 */    206,   1425,   7219,  10369,  14329,  14937, 
/* msg =   6680, deg =  6 */    197,   1666,   3614,  10805,  11621,  19659, 
/* msg =   6681, deg =  6 */   6544,   8406,   8472,  12252,  12434,  15510, 
/* msg =   6682, deg =  6 */   3475,   3745,   7799,  10319,  10959,  18370, 
/* msg =   6683, deg =  6 */   8094,   8739,   9384,  10162,  10733,  18694, 
/* msg =   6684, deg =  6 */    806,   4817,   9319,  12168,  12553,  19811, 
/* msg =   6685, deg =  6 */   6052,   9107,   9314,  11584,  15392,  16848, 
/* msg =   6686, deg =  6 */   3805,   4678,   6905,  11861,  14616,  18696, 
/* msg =   6687, deg =  6 */   4720,   5720,   7481,  11431,  11934,  19789, 
/* msg =   6688, deg =  6 */    216,   1213,   8832,  14388,  14409,  16801, 
/* msg =   6689, deg =  6 */   3754,   5649,   6328,  13906,  17246,  17875, 
/* msg =   6690, deg =  6 */   3594,   3598,   6463,  10686,  10897,  18323, 
/* msg =   6691, deg =  6 */   3364,   6080,   8290,  10509,  15419,  16704, 
/* msg =   6692, deg =  6 */   2713,   4277,   9654,  19381,  19446,  19684, 
/* msg =   6693, deg =  6 */   4831,   7060,   9030,  10450,  13476,  16391, 
/* msg =   6694, deg =  6 */     69,   1074,   4329,  13674,  13947,  16241, 
/* msg =   6695, deg =  6 */   1265,   6962,   7499,  13365,  17830,  19395, 
/* msg =   6696, deg =  6 */   6668,   7208,   9287,  13300,  14820,  19479, 
/* msg =   6697, deg =  6 */   4729,   5844,   6327,  12034,  12857,  13000, 
/* msg =   6698, deg =  6 */   1397,   3409,   6325,  11211,  13217,  15658, 
/* msg =   6699, deg =  6 */   2670,   8015,   8654,  12106,  12827,  16415, 
/* msg =   6700, deg =  6 */   6326,   7872,   8241,  11243,  13858,  15865, 
/* msg =   6701, deg =  6 */   6551,   7521,   7575,  14334,  17696,  19857, 
/* msg =   6702, deg =  6 */   4907,   6538,   6796,  12402,  16022,  19662, 
/* msg =   6703, deg =  6 */    113,   6933,   9296,  10719,  15846,  17049, 
/* msg =   6704, deg =  6 */   5223,   5433,   6021,  10788,  13174,  17273, 
/* msg =   6705, deg =  6 */   2213,   4372,   6505,  10929,  12069,  14302, 
/* msg =   6706, deg =  6 */   5701,   8778,   9238,  15378,  18329,  18689, 
/* msg =   6707, deg =  6 */    337,   2900,   9477,  11037,  19514,  19797, 
/* msg =   6708, deg =  6 */   1542,   1596,   8302,  11067,  13229,  17301, 
/* msg =   6709, deg =  6 */   1927,   2740,   3637,  10496,  11982,  12681, 
/* msg =   6710, deg =  6 */   3034,   4294,   5317,  17289,  17837,  19344, 
/* msg =   6711, deg =  6 */   5953,   7403,   7496,  14676,  15661,  19864, 
/* msg =   6712, deg =  6 */   1460,   1679,   4725,  17881,  18838,  19789, 
/* msg =   6713, deg =  6 */   4085,   5030,   6863,  10236,  13375,  17995, 
/* msg =   6714, deg =  6 */   2504,   3542,   6337,  12659,  14299,  15748, 
/* msg =   6715, deg =  6 */   4889,   7085,   8679,  14486,  14628,  17088, 
/* msg =   6716, deg =  6 */   3784,   6041,   6564,  12390,  13517,  18898, 
/* msg =   6717, deg =  6 */   2123,   3242,   8845,  14838,  17723,  17924, 
/* msg =   6718, deg =  6 */   4219,   6098,   7514,  11192,  13304,  17682, 
/* msg =   6719, deg =  6 */   1400,   4216,   6759,  10350,  16415,  19330, 
/* msg =   6720, deg =  6 */    926,   2913,   7675,  13519,  16571,  16983, 
/* msg =   6721, deg =  6 */   8892,   9321,   9649,  10091,  14767,  18786, 
/* msg =   6722, deg =  6 */    699,   5717,   9175,  16548,  16938,  17537, 
/* msg =   6723, deg =  6 */    882,   3689,   8004,  11634,  14850,  18453, 
/* msg =   6724, deg =  6 */    859,   3747,   4287,  10018,  10798,  13973, 
/* msg =   6725, deg =  6 */   3772,   4400,   8896,  13438,  15473,  16218, 
/* msg =   6726, deg =  6 */   4264,   7402,   8994,  12195,  12563,  15827, 
/* msg =   6727, deg =  6 */    485,   2014,   2296,  12177,  16757,  17057, 
/* msg =   6728, deg =  6 */   3127,   5364,   6957,  10704,  13648,  19440, 
/* msg =   6729, deg =  6 */    170,   3613,   5247,  10052,  13506,  18544, 
/* msg =   6730, deg =  6 */   1550,   4896,   7837,  10836,  11317,  18140, 
/* msg =   6731, deg =  6 */    757,   4511,   8452,  12398,  15322,  16233, 
/* msg =   6732, deg =  6 */   2057,   2830,   6316,  13544,  15526,  19535, 
/* msg =   6733, deg =  6 */    560,   3860,   6870,  14355,  14510,  16553, 
/* msg =   6734, deg =  6 */   4834,   6764,   7210,  12064,  14036,  15817, 
/* msg =   6735, deg =  6 */    354,   4025,   5468,  10262,  11381,  16749, 
/* msg =   6736, deg =  6 */   3970,   7094,   8491,  11843,  17089,  18153, 
/* msg =   6737, deg =  6 */   2942,   6033,   9816,  12938,  17404,  18756, 
/* msg =   6738, deg =  6 */   4273,   6006,   6791,  12322,  14904,  17273, 
/* msg =   6739, deg =  6 */    287,   2873,   8593,  12284,  16170,  19633, 
/* msg =   6740, deg =  6 */    585,   3750,   4714,  11336,  12542,  14624, 
/* msg =   6741, deg =  6 */   2745,   4263,   5994,  10984,  13314,  18566, 
/* msg =   6742, deg =  6 */   1113,   2535,   2625,  12401,  12671,  13418, 
/* msg =   6743, deg =  6 */    723,    869,   8139,  10759,  12149,  13511, 
/* msg =   6744, deg =  6 */   1181,   1917,   7774,  11165,  12031,  12944, 
/* msg =   6745, deg =  6 */   1404,   3303,   5557,  11795,  13617,  19704, 
/* msg =   6746, deg =  6 */    170,   7311,   8803,  11988,  13790,  18510, 
/* msg =   6747, deg =  6 */   3713,   6118,   6596,  11227,  12157,  13798, 
/* msg =   6748, deg =  6 */   6578,   8755,   8903,  13323,  14380,  19037, 
/* msg =   6749, deg =  6 */   5511,   7925,   8075,  13874,  15870,  17457, 
/* msg =   6750, deg =  6 */   2046,   4149,   7071,  10326,  11935,  18954, 
/* msg =   6751, deg =  6 */   3235,   3453,   7645,  15132,  15569,  16755, 
/* msg =   6752, deg =  6 */    272,   5305,   5595,  10406,  13645,  16115, 
/* msg =   6753, deg =  6 */   3539,   3879,   7304,  10793,  11996,  19971, 
/* msg =   6754, deg =  6 */    425,   1301,   4385,  10093,  13495,  18277, 
/* msg =   6755, deg =  6 */   1491,   1777,   1889,  16642,  17147,  18016, 
/* msg =   6756, deg =  6 */    545,   1784,   2661,  10147,  12805,  16411, 
/* msg =   6757, deg =  6 */    262,   5617,   7746,  17472,  18721,  18965, 
/* msg =   6758, deg =  6 */    655,   4690,   9556,  12388,  15964,  17035, 
/* msg =   6759, deg =  6 */    705,   6263,   9486,  12259,  18121,  19766, 
/* msg =   6760, deg =  6 */   4400,   9180,   9853,  10797,  12095,  19751, 
/* msg =   6761, deg =  6 */   7779,   8326,   9514,  11598,  12148,  17551, 
/* msg =   6762, deg =  6 */   4490,   6882,   7631,  10122,  15901,  19450, 
/* msg =   6763, deg =  6 */   7090,   7769,   8759,  15666,  15939,  18384, 
/* msg =   6764, deg =  6 */   3897,   4956,   8298,  10895,  14827,  16459, 
/* msg =   6765, deg =  6 */   2771,   3969,   7981,  13063,  16813,  17601, 
/* msg =   6766, deg =  6 */   2062,   5881,   6710,  10657,  15816,  17506, 
/* msg =   6767, deg =  6 */   4124,   4648,   9439,  13114,  18495,  19862, 
/* msg =   6768, deg =  6 */   3510,   4222,   7932,  13370,  18726,  19856, 
/* msg =   6769, deg =  6 */    932,   6043,   8088,  11293,  11416,  17404, 
/* msg =   6770, deg =  6 */   3762,   7092,   9344,  13842,  16084,  18716, 
/* msg =   6771, deg =  6 */    776,   6292,   9395,  11247,  13166,  16411, 
/* msg =   6772, deg =  6 */   2024,   4947,   8330,  11135,  13315,  14998, 
/* msg =   6773, deg =  6 */    757,   4498,   6428,  12229,  15452,  16054, 
/* msg =   6774, deg =  6 */   1279,   3000,   8837,  12099,  14872,  19545, 
/* msg =   6775, deg =  6 */      7,   5563,   6158,  13751,  17166,  18782, 
/* msg =   6776, deg =  6 */   1547,   3547,   6782,  15596,  17176,  18307, 
/* msg =   6777, deg =  6 */   1388,   2455,   8582,  15245,  17075,  19239, 
/* msg =   6778, deg =  6 */   5793,   8045,   8285,  10969,  16956,  17741, 
/* msg =   6779, deg =  6 */   1733,   2405,   9092,  15028,  15119,  15594, 
/* msg =   6780, deg =  6 */    355,   1546,   8572,  10417,  11266,  13038, 
/* msg =   6781, deg =  6 */    288,   2217,   2641,  10614,  15363,  18557, 
/* msg =   6782, deg =  6 */   6358,   7977,   9125,  10718,  13713,  13917, 
/* msg =   6783, deg =  6 */   3425,   9481,   9967,  13734,  16364,  18397, 
/* msg =   6784, deg =  6 */   2053,   3725,   4717,  10588,  14567,  19568, 
/* msg =   6785, deg =  6 */     97,   5272,   5305,  14894,  16544,  18298, 
/* msg =   6786, deg =  6 */   1837,   4410,   9730,  11254,  11347,  19494, 
/* msg =   6787, deg =  6 */   3868,   4796,   6502,  12647,  18245,  19199, 
/* msg =   6788, deg =  6 */    985,   4683,   8567,  14530,  17771,  18667, 
/* msg =   6789, deg =  6 */   8405,   9117,   9651,  12315,  15819,  16228, 
/* msg =   6790, deg =  6 */   1727,   5064,   5812,  12054,  15650,  18722, 
/* msg =   6791, deg =  6 */   3368,   4836,   8428,  13757,  16072,  19263, 
/* msg =   6792, deg =  6 */   1272,   1801,   6060,  10254,  16747,  19037, 
/* msg =   6793, deg =  6 */   4092,   7589,   8705,  10320,  17934,  18539, 
/* msg =   6794, deg =  6 */   3328,   3361,   8783,  13555,  16104,  16941, 
/* msg =   6795, deg =  6 */   4486,   6874,   9670,  18437,  19281,  19642, 
/* msg =   6796, deg =  6 */   1530,   2768,   6688,  14080,  15396,  17647, 
/* msg =   6797, deg =  6 */   1765,   6033,   6762,  10084,  11539,  13776, 
/* msg =   6798, deg =  6 */   6953,   8702,   8987,  11260,  13791,  15955, 
/* msg =   6799, deg =  6 */   2617,   4574,   5475,  11167,  16607,  18049, 
/* msg =   6800, deg =  6 */    505,   9063,   9261,  12821,  15243,  16618, 
/* msg =   6801, deg =  6 */    350,   2661,   6618,  15374,  16429,  16967, 
/* msg =   6802, deg =  6 */    131,   1424,   2389,  14682,  15282,  15464, 
/* msg =   6803, deg =  6 */    145,   8831,   9722,  16634,  16736,  16863, 
/* msg =   6804, deg =  6 */   6203,   7190,   8537,  12943,  14221,  18599, 
/* msg =   6805, deg =  6 */   2850,   5982,   6324,  11538,  14981,  18589, 
/* msg =   6806, deg =  6 */     13,   4474,   6965,  10729,  14895,  18571, 
/* msg =   6807, deg =  6 */   5072,   5367,   6966,  12859,  16513,  17001, 
/* msg =   6808, deg =  6 */    322,   4152,   6609,  12818,  14220,  18813, 
/* msg =   6809, deg =  6 */   3152,   6034,   8646,  11508,  13099,  16373, 
/* msg =   6810, deg =  6 */   1966,   8563,   9560,  10262,  16921,  18843, 
/* msg =   6811, deg =  6 */    403,   2103,   5456,  13882,  15310,  17017, 
/* msg =   6812, deg =  6 */   7352,   7485,   9755,  12155,  12901,  15977, 
/* msg =   6813, deg =  6 */   5016,   6169,   9359,  10668,  12068,  14971, 
/* msg =   6814, deg =  6 */   2646,   4504,   8137,  12505,  15248,  18378, 
/* msg =   6815, deg =  6 */   2351,   4610,   6932,  15515,  18089,  19290, 
/* msg =   6816, deg =  6 */   2540,   4556,   9410,  10132,  10990,  16595, 
/* msg =   6817, deg =  6 */   2301,   4470,   7067,  15159,  15480,  18423, 
/* msg =   6818, deg =  6 */     77,   1798,   6514,  11908,  14017,  15416, 
/* msg =   6819, deg =  6 */   2084,   2475,   6968,  16367,  17584,  18550, 
/* msg =   6820, deg =  6 */    610,   1740,   4918,  14761,  15989,  17221, 
/* msg =   6821, deg =  6 */   4581,   8295,   9206,  12730,  14980,  19911, 
/* msg =   6822, deg =  6 */    295,   3019,   9138,  12737,  14828,  17499, 
/* msg =   6823, deg =  6 */   2924,   4975,   6666,  10020,  10819,  19770, 
/* msg =   6824, deg =  6 */   6138,   8735,   9283,  12847,  16648,  17228, 
/* msg =   6825, deg =  6 */    234,   1932,   5716,  10236,  17083,  19076, 
/* msg =   6826, deg =  6 */   6378,   7299,   9070,  12585,  16244,  18323, 
/* msg =   6827, deg =  6 */    765,   6746,   8891,  12047,  15446,  17916, 
/* msg =   6828, deg =  6 */   1442,   2588,   6315,  11759,  12575,  16214, 
/* msg =   6829, deg =  6 */   6792,   6945,   8055,  12885,  17452,  18712, 
/* msg =   6830, deg =  6 */   3451,   5887,   8683,  14304,  14877,  16033, 
/* msg =   6831, deg =  6 */   7173,   7487,   7903,  11557,  17386,  18799, 
/* msg =   6832, deg =  6 */   1357,   5814,   6080,  10028,  17491,  19415, 
/* msg =   6833, deg =  6 */      8,    978,   6208,  12574,  18875,  19754, 
/* msg =   6834, deg =  6 */   4737,   7976,   9891,  11165,  13256,  13716, 
/* msg =   6835, deg =  6 */   2120,   8700,   9634,  10449,  15278,  16753, 
/* msg =   6836, deg =  6 */   2590,   5549,   8639,  16059,  16114,  17005, 
/* msg =   6837, deg =  6 */   3403,   4454,   9119,  11597,  14199,  15742, 
/* msg =   6838, deg =  6 */   4252,   5307,   9407,  15797,  15928,  18227, 
/* msg =   6839, deg =  6 */   3921,   5376,   9021,  10955,  14904,  17293, 
/* msg =   6840, deg =  6 */     32,   1052,   6144,  16737,  17378,  18272, 
/* msg =   6841, deg =  6 */   4722,   7907,   8109,  12554,  16119,  17770, 
/* msg =   6842, deg =  6 */   2471,   3386,   8745,  11167,  16929,  18890, 
/* msg =   6843, deg =  6 */    200,   1160,   5218,  11443,  12768,  14906, 
/* msg =   6844, deg =  6 */    405,   5482,   8788,  14713,  16189,  17334, 
/* msg =   6845, deg =  6 */   2199,   2815,   4213,  11972,  13057,  17233, 
/* msg =   6846, deg =  6 */   3061,   3984,   4735,  12842,  14381,  18301, 
/* msg =   6847, deg =  6 */   1610,   3236,   5034,  13017,  16356,  18801, 
/* msg =   6848, deg =  6 */   5004,   8401,   9295,  12777,  13357,  16644, 
/* msg =   6849, deg =  6 */   6233,   8445,   9876,  12370,  16149,  16922, 
/* msg =   6850, deg =  6 */   7100,   7546,   8447,  13665,  15936,  19483, 
/* msg =   6851, deg =  6 */   1561,   5078,   5745,  12325,  12784,  13558, 
/* msg =   6852, deg =  6 */   1328,   2899,   5472,  13105,  14004,  16770, 
/* msg =   6853, deg =  6 */    935,   8776,   9368,  10062,  10726,  19042, 
/* msg =   6854, deg =  6 */   7693,   7933,   8789,  10622,  17423,  18699, 
/* msg =   6855, deg =  6 */    872,   2699,   4802,  14266,  14472,  18971, 
/* msg =   6856, deg =  6 */    748,   7030,   7375,  12337,  17523,  18576, 
/* msg =   6857, deg =  6 */   2333,   3265,   9359,  17858,  18078,  18199, 
/* msg =   6858, deg =  6 */   2256,   4303,   7636,  13035,  15298,  18938, 
/* msg =   6859, deg =  6 */   3858,   4091,   8352,  10961,  16457,  18894, 
/* msg =   6860, deg =  6 */   2353,   6414,   8186,  11546,  11857,  12032, 
/* msg =   6861, deg =  6 */    801,   2680,   4624,  11826,  14347,  16736, 
/* msg =   6862, deg =  6 */    896,   3943,   6501,  13933,  14274,  18277, 
/* msg =   6863, deg =  6 */   4041,   6497,   7059,  14920,  15695,  17573, 
/* msg =   6864, deg =  6 */   1057,   4033,   6818,  16689,  17103,  18395, 
/* msg =   6865, deg =  6 */    568,    773,   5521,  11979,  13699,  15675, 
/* msg =   6866, deg =  6 */    263,   8152,   9256,  15159,  16154,  18307, 
/* msg =   6867, deg =  6 */   1168,   1841,   3497,  10353,  10480,  12851, 
/* msg =   6868, deg =  6 */   3839,   4247,   6833,  12084,  14197,  19006, 
/* msg =   6869, deg =  6 */   2046,   4589,   6823,  12028,  15534,  17669, 
/* msg =   6870, deg =  6 */   1286,   8069,   9766,  11694,  15492,  16131, 
/* msg =   6871, deg =  6 */   2460,   5743,   9569,  16289,  17931,  18216, 
/* msg =   6872, deg =  6 */   1249,   6424,   8580,  12801,  13315,  16676, 
/* msg =   6873, deg =  6 */   6161,   8011,   9884,  12939,  12987,  14414, 
/* msg =   6874, deg =  6 */   1910,   8847,   9591,  10953,  17459,  18914, 
/* msg =   6875, deg =  6 */    219,   5895,   6813,  13772,  16449,  16691, 
/* msg =   6876, deg =  6 */   2144,   3875,   6318,  11247,  16966,  19199, 
/* msg =   6877, deg =  6 */    832,   3688,   8724,  13807,  16075,  17528, 
/* msg =   6878, deg =  6 */   3342,   9438,   9639,  12799,  15420,  19178, 
/* msg =   6879, deg =  6 */   4434,   6309,   8673,  15479,  19453,  19839, 
/* msg =   6880, deg =  6 */   1448,   2897,   6401,  10032,  10282,  19852, 
/* msg =   6881, deg =  6 */   4392,   8281,   8788,  15045,  15699,  17721, 
/* msg =   6882, deg =  6 */   7245,   7452,   9068,  14025,  14505,  18251, 
/* msg =   6883, deg =  6 */   6238,   6466,   8206,  11567,  17168,  18415, 
/* msg =   6884, deg =  6 */   3225,   4430,   7129,  14808,  18124,  19396, 
/* msg =   6885, deg =  6 */   2018,   2474,   3319,  16192,  17900,  18670, 
/* msg =   6886, deg =  6 */    668,   1432,   4605,  10157,  10571,  14945, 
/* msg =   6887, deg =  6 */   1385,   1645,   2735,  11545,  13432,  19220, 
/* msg =   6888, deg =  6 */   1977,   4317,   7126,  11591,  16478,  19101, 
/* msg =   6889, deg =  6 */    679,   3315,   3331,  10119,  13802,  15457, 
/* msg =   6890, deg =  6 */   4446,   6308,   6533,  11309,  13985,  15715, 
/* msg =   6891, deg =  6 */    585,   2182,   2231,  10492,  13469,  14353, 
/* msg =   6892, deg =  6 */   4990,   7174,   9787,  12324,  13201,  14769, 
/* msg =   6893, deg =  6 */   4398,   4808,   8829,  12733,  14502,  18963, 
/* msg =   6894, deg =  6 */    373,   4590,   7772,  10339,  12861,  18981, 
/* msg =   6895, deg =  6 */   7092,   9124,   9823,  12888,  13072,  16967, 
/* msg =   6896, deg =  6 */   3533,   7289,   7751,  11451,  18487,  19300, 
/* msg =   6897, deg =  6 */   7613,   8227,   8648,  14884,  15951,  17899, 
/* msg =   6898, deg =  6 */   6696,   8076,   9801,  10153,  16706,  19917, 
/* msg =   6899, deg =  6 */   4292,   5612,   5954,  15241,  17714,  19215, 
/* msg =   6900, deg =  6 */   2036,   2906,   9182,  10921,  12983,  17394, 
/* msg =   6901, deg =  6 */   1977,   3792,   9518,  17501,  18235,  19599, 
/* msg =   6902, deg =  6 */   6234,   7837,   8433,  11083,  12561,  19458, 
/* msg =   6903, deg =  6 */     63,    318,   7702,  14257,  18384,  19762, 
/* msg =   6904, deg =  6 */   3470,   8048,   8955,  12642,  16108,  17693, 
/* msg =   6905, deg =  6 */   8209,   8517,   9412,  15277,  17254,  19937, 
/* msg =   6906, deg =  6 */   1979,   3458,   8264,  12949,  19498,  19706, 
/* msg =   6907, deg =  6 */   3217,   3300,   9910,  10790,  11495,  13998, 
/* msg =   6908, deg =  6 */    547,   5254,   9587,  13364,  13656,  16637, 
/* msg =   6909, deg =  6 */   1567,   3666,   4759,  13957,  15013,  15410, 
/* msg =   6910, deg =  6 */     95,   8671,   8878,  11915,  15643,  18638, 
/* msg =   6911, deg =  6 */   2750,   4778,   6690,  14248,  19652,  19683, 
/* msg =   6912, deg =  6 */   1396,   6610,   7048,  12168,  16915,  18374, 
/* msg =   6913, deg =  6 */    136,   3929,   9790,  10155,  11260,  16447, 
/* msg =   6914, deg =  6 */   3727,   4505,   6548,  11887,  13817,  14364, 
/* msg =   6915, deg =  6 */    438,   5098,   5335,  10707,  15073,  17764, 
/* msg =   6916, deg =  6 */   4254,   6139,   9520,  14523,  17484,  19639, 
/* msg =   6917, deg =  6 */   5569,   7083,   7644,  12445,  14750,  15165, 
/* msg =   6918, deg =  6 */   6744,   8120,   8326,  14198,  19188,  19560, 
/* msg =   6919, deg =  6 */   2802,   5422,   6570,  12212,  12457,  13265, 
/* msg =   6920, deg =  6 */   2968,   7947,   8348,  11659,  14856,  15278, 
/* msg =   6921, deg =  6 */    698,   2688,   3707,  17648,  17858,  18753, 
/* msg =   6922, deg =  6 */   1916,   3207,   9606,  14817,  16347,  19705, 
/* msg =   6923, deg =  6 */     56,    582,    640,  10920,  12131,  15871, 
/* msg =   6924, deg =  6 */   2985,   2989,   8876,  16781,  17451,  18788, 
/* msg =   6925, deg =  6 */   2061,   5031,   5283,  15228,  15850,  17036, 
/* msg =   6926, deg =  6 */   2063,   8305,   8536,  11053,  17366,  17962, 
/* msg =   6927, deg =  6 */    662,   1780,   9776,  10472,  11573,  13541, 
/* msg =   6928, deg =  6 */   1790,   2916,   7997,  11173,  17356,  18174, 
/* msg =   6929, deg =  6 */   4223,   5569,   7880,  11114,  11483,  13686, 
/* msg =   6930, deg =  6 */    176,   4423,   7182,  11806,  12851,  18169, 
/* msg =   6931, deg =  6 */   1937,   5054,   8425,  11821,  12866,  17974, 
/* msg =   6932, deg =  6 */   3043,   5461,   7281,  16468,  19793,  19930, 
/* msg =   6933, deg =  6 */   1937,   2398,   7808,  12187,  18010,  19377, 
/* msg =   6934, deg =  6 */    915,   5147,   5252,  12356,  12890,  19176, 
/* msg =   6935, deg =  6 */    161,   1601,   7959,  12915,  14813,  16014, 
/* msg =   6936, deg =  6 */    245,    278,   9698,  11749,  12244,  18696, 
/* msg =   6937, deg =  6 */   2398,   3623,   9155,  12353,  13144,  15138, 
/* msg =   6938, deg =  6 */   6398,   9123,   9534,  14225,  16244,  17746, 
/* msg =   6939, deg =  6 */   8331,   8848,   9660,  11973,  18690,  19412, 
/* msg =   6940, deg =  6 */   6145,   7605,   9682,  12991,  13706,  14121, 
/* msg =   6941, deg =  6 */   1688,   7927,   8925,  12705,  18611,  19566, 
/* msg =   6942, deg =  6 */   6049,   7440,   9758,  10878,  14743,  19276, 
/* msg =   6943, deg =  6 */   5255,   5512,   6967,  10947,  12350,  17616, 
/* msg =   6944, deg =  6 */    596,   4611,   9890,  10371,  17099,  17296, 
/* msg =   6945, deg =  6 */   3395,   8590,   9442,  12622,  12700,  14085, 
/* msg =   6946, deg =  6 */    137,   4424,   8267,  10167,  10514,  16047, 
/* msg =   6947, deg =  6 */   8000,   8163,   8978,  11601,  15383,  17182, 
/* msg =   6948, deg =  6 */   4302,   8176,   8416,  12320,  12748,  18509, 
/* msg =   6949, deg =  6 */    750,   1620,   2038,  11299,  16742,  18013, 
/* msg =   6950, deg =  6 */   3308,   3936,   7805,  11117,  17203,  17538, 
/* msg =   6951, deg =  6 */   1156,   3609,   6831,  11655,  13593,  14923, 
/* msg =   6952, deg =  6 */   4540,   5218,   9791,  13650,  15413,  18784, 
/* msg =   6953, deg =  6 */   1819,   2867,   6538,  14921,  19553,  19897, 
/* msg =   6954, deg =  6 */    186,   1489,   8174,  16246,  17849,  19983, 
/* msg =   6955, deg =  6 */    365,   2833,   9537,  11087,  17405,  18336, 
/* msg =   6956, deg =  6 */   3056,   3909,   5388,  10746,  12080,  14195, 
/* msg =   6957, deg =  6 */   1803,   4839,   5471,  10530,  10837,  15096, 
/* msg =   6958, deg =  6 */   2469,   6082,   8945,  12790,  16247,  19801, 
/* msg =   6959, deg =  6 */    246,   1133,   8243,  11853,  17064,  19582, 
/* msg =   6960, deg =  6 */    508,   1332,   2764,  11590,  12566,  14606, 
/* msg =   6961, deg =  6 */   2681,   3592,   8709,  13019,  13774,  16038, 
/* msg =   6962, deg =  6 */   6380,   7824,   8468,  10924,  14084,  14785, 
/* msg =   6963, deg =  6 */   2049,   7698,   8543,  11047,  12101,  15126, 
/* msg =   6964, deg =  6 */   3120,   4803,   9612,  12786,  17380,  19474, 
/* msg =   6965, deg =  6 */   3425,   5563,   9635,  15743,  17187,  19504, 
/* msg =   6966, deg =  6 */   1392,   6687,   9652,  10966,  16344,  18148, 
/* msg =   6967, deg =  6 */   5763,   8214,   8968,  11507,  14127,  14191, 
/* msg =   6968, deg =  6 */   2441,   6776,   9098,  18196,  19666,  19973, 
/* msg =   6969, deg =  6 */   2302,   8388,   9316,  14093,  19244,  19769, 
/* msg =   6970, deg =  6 */   2649,   4501,   6085,  10351,  13349,  15362, 
/* msg =   6971, deg =  6 */   1004,   1412,   6050,  10242,  13098,  16315, 
/* msg =   6972, deg =  6 */   1901,   5072,   9418,  14592,  14927,  18613, 
/* msg =   6973, deg =  6 */   5224,   6077,   7030,  14900,  16811,  18822, 
/* msg =   6974, deg =  6 */   2111,   2237,   7875,  11295,  12608,  17026, 
/* msg =   6975, deg =  6 */   2183,   7657,   7785,  11426,  12785,  16881, 
/* msg =   6976, deg =  6 */   1090,   6633,   7409,  10831,  13365,  15057, 
/* msg =   6977, deg =  6 */   1109,   3014,   7042,  11011,  11557,  17725, 
/* msg =   6978, deg =  6 */   1863,   5080,   9199,  10218,  10334,  10568, 
/* msg =   6979, deg =  6 */   2615,   2792,   6270,  17734,  18394,  19764, 
/* msg =   6980, deg =  6 */   6391,   9241,   9398,  10693,  13207,  18173, 
/* msg =   6981, deg =  6 */   1840,   9103,   9816,  10692,  15254,  16415, 
/* msg =   6982, deg =  6 */    908,   1530,   3433,  12785,  15145,  17937, 
/* msg =   6983, deg =  6 */    148,   2898,   2937,  13287,  19208,  19359, 
/* msg =   6984, deg =  6 */   1521,   4691,   7937,  10441,  14655,  17269, 
/* msg =   6985, deg =  6 */   3950,   5051,   7242,  14410,  14489,  19313, 
/* msg =   6986, deg =  6 */   1484,   6892,   7280,  10161,  15105,  15819, 
/* msg =   6987, deg =  6 */   4594,   7648,   8852,  11855,  16215,  17612, 
/* msg =   6988, deg =  6 */   2941,   5304,   7858,  11676,  16197,  19696, 
/* msg =   6989, deg =  6 */   1336,   5615,   8989,  11878,  19273,  19662, 
/* msg =   6990, deg =  6 */   6246,   7304,   9561,  12237,  14226,  19241, 
/* msg =   6991, deg =  6 */   2288,   5772,   9651,  12882,  16071,  18952, 
/* msg =   6992, deg =  6 */   3464,   5389,   9088,  10304,  10377,  11824, 
/* msg =   6993, deg =  6 */   7175,   7900,   9792,  10062,  13648,  16055, 
/* msg =   6994, deg =  6 */   2272,   3242,   5509,  13028,  15603,  17432, 
/* msg =   6995, deg =  6 */   2572,   2879,   4542,  12896,  13258,  15791, 
/* msg =   6996, deg =  6 */   2604,   6988,   9365,  11463,  15545,  16988, 
/* msg =   6997, deg =  6 */    498,   4016,   4770,  16867,  18023,  19353, 
/* msg =   6998, deg =  6 */   2369,   3389,   5426,  17618,  17653,  17859, 
/* msg =   6999, deg =  6 */   1712,   5738,   6441,  10263,  10915,  14940, 
/* msg =   7000, deg =  6 */    597,   1494,   7234,  11412,  16294,  16636, 
/* msg =   7001, deg =  6 */   1413,   5758,   7949,  16039,  18069,  19638, 
/* msg =   7002, deg =  6 */   4710,   4955,   9215,  13086,  15875,  19412, 
/* msg =   7003, deg =  6 */    979,   4762,   7253,  11952,  12264,  13862, 
/* msg =   7004, deg =  6 */   3714,   5564,   7131,  12294,  12642,  15565, 
/* msg =   7005, deg =  6 */    589,   1470,   5210,  12507,  15624,  17546, 
/* msg =   7006, deg =  6 */   5613,   5665,   6022,  13009,  13518,  19285, 
/* msg =   7007, deg =  6 */   1321,   5908,   6600,  11271,  17352,  19503, 
/* msg =   7008, deg =  6 */    724,   1361,   7871,  10574,  13232,  13289, 
/* msg =   7009, deg =  6 */   6130,   7552,   8632,  11248,  16472,  17185, 
/* msg =   7010, deg =  6 */    552,   1005,   3900,  16186,  16443,  18846, 
/* msg =   7011, deg =  6 */   2421,   3400,   9306,  13485,  18480,  19155, 
/* msg =   7012, deg =  6 */   1800,   3416,   8196,  11470,  13492,  18711, 
/* msg =   7013, deg =  6 */   4380,   4482,   7617,  10250,  14575,  19546, 
/* msg =   7014, deg =  6 */    202,   5323,   6297,  10515,  18582,  19126, 
/* msg =   7015, deg =  6 */   4317,   4765,   8547,  12369,  17326,  17678, 
/* msg =   7016, deg =  6 */   1129,   1374,   2363,  14297,  14814,  15469, 
/* msg =   7017, deg =  6 */   3131,   3849,   5811,  10075,  12441,  19423, 
/* msg =   7018, deg =  6 */    563,   2446,   2818,  11078,  12051,  16374, 
/* msg =   7019, deg =  6 */    182,   4785,   9019,  15372,  16091,  17224, 
/* msg =   7020, deg =  6 */   4202,   5603,   9561,  15204,  15418,  16367, 
/* msg =   7021, deg =  6 */   3658,   6521,   9706,  11896,  16424,  16619, 
/* msg =   7022, deg =  6 */   4442,   8389,   8726,  10684,  11265,  15054, 
/* msg =   7023, deg =  6 */   2155,   4976,   8885,  10859,  13656,  18656, 
/* msg =   7024, deg =  6 */   6755,   6849,   8719,  14144,  14893,  19564, 
/* msg =   7025, deg =  6 */   2996,   3761,   8316,  10136,  13556,  15237, 
/* msg =   7026, deg =  6 */   7875,   7890,   8769,  15644,  15713,  18541, 
/* msg =   7027, deg =  6 */   1587,   4505,   9586,  16665,  17391,  19173, 
/* msg =   7028, deg =  6 */   3150,   6889,   9095,  10739,  14867,  18737, 
/* msg =   7029, deg =  6 */   2566,   7274,   8987,  13612,  16349,  19975, 
/* msg =   7030, deg =  6 */   2313,   6632,   8167,  11442,  12177,  15958, 
/* msg =   7031, deg =  6 */   3388,   4026,   8359,  11980,  17027,  18962, 
/* msg =   7032, deg =  6 */   7240,   7614,   7678,  12868,  17471,  19392, 
/* msg =   7033, deg =  6 */   1236,   4207,   6241,  13111,  16762,  17052, 
/* msg =   7034, deg =  6 */   3609,   4642,   7442,  14834,  16494,  18476, 
/* msg =   7035, deg =  6 */   1192,   8157,   9309,  11466,  16828,  17462, 
/* msg =   7036, deg =  6 */   5869,   7938,   9143,  10749,  19192,  19470, 
/* msg =   7037, deg =  6 */   6046,   6689,   7979,  11827,  13283,  17018, 
/* msg =   7038, deg =  6 */   1270,   6302,   8016,  14547,  17900,  19486, 
/* msg =   7039, deg =  6 */    395,    847,   9936,  12371,  15543,  17771, 
/* msg =   7040, deg =  6 */   2230,   2955,   5402,  12364,  16409,  17365, 
/* msg =   7041, deg =  6 */   1138,   4953,   5331,  15637,  17626,  18921, 
/* msg =   7042, deg =  6 */   3644,   3909,   7273,  15129,  17504,  17906, 
/* msg =   7043, deg =  6 */   4936,   5494,   6437,  10596,  15811,  17442, 
/* msg =   7044, deg =  6 */    798,   2162,   5991,  16389,  17598,  18800, 
/* msg =   7045, deg =  6 */   3933,   4682,   5907,  14574,  17048,  17084, 
/* msg =   7046, deg =  6 */   1654,   5642,   6307,  11522,  16921,  19386, 
/* msg =   7047, deg =  6 */   4585,   5643,   6612,  11193,  14584,  18585, 
/* msg =   7048, deg =  6 */     49,   1470,   8732,  13634,  15436,  18440, 
/* msg =   7049, deg =  6 */   5459,   5633,   6121,  14417,  18166,  19367, 
/* msg =   7050, deg =  6 */     53,   2861,   8502,  11625,  13947,  19287, 
/* msg =   7051, deg =  6 */   5220,   6791,   8774,  11444,  14613,  16522, 
/* msg =   7052, deg =  6 */     61,    512,    786,  12530,  12861,  19312, 
/* msg =   7053, deg =  6 */    300,   7600,   7652,  12279,  14593,  18222, 
/* msg =   7054, deg =  6 */    696,   3382,   7504,  10567,  16255,  16677, 
/* msg =   7055, deg =  6 */      1,   7699,   8392,  14453,  16849,  17387, 
/* msg =   7056, deg =  6 */   4573,   4848,   8942,  14348,  15279,  16893, 
/* msg =   7057, deg =  6 */     72,    776,   8200,  11898,  12666,  17606, 
/* msg =   7058, deg =  6 */    701,   1997,   7530,  11149,  17503,  18632, 
/* msg =   7059, deg =  6 */   2612,   3021,   8033,  11457,  14281,  16348, 
/* msg =   7060, deg =  6 */   1656,   2235,   4784,  11379,  16620,  18584, 
/* msg =   7061, deg =  6 */   4042,   5366,   7413,  15857,  16740,  19390, 
/* msg =   7062, deg =  6 */    240,   2789,   7302,  10848,  12601,  19491, 
/* msg =   7063, deg =  6 */   4129,   4551,   9018,  10524,  16085,  18034, 
/* msg =   7064, deg =  6 */   2393,   5262,   6527,  13326,  17749,  19804, 
/* msg =   7065, deg =  6 */   3322,   5138,   8579,  14069,  18544,  19225, 
/* msg =   7066, deg =  6 */   6885,   8066,   9738,  13117,  17442,  19544, 
/* msg =   7067, deg =  6 */   2783,   6256,   8583,  10579,  11872,  13799, 
/* msg =   7068, deg =  6 */    808,   8649,   9840,  13011,  16466,  19328, 
/* msg =   7069, deg =  6 */   1678,   1745,   6741,  16378,  18041,  19111, 
/* msg =   7070, deg =  6 */    717,    938,   9834,  12246,  17558,  18376, 
/* msg =   7071, deg =  6 */   2036,   3992,   5594,  10431,  10830,  19079, 
/* msg =   7072, deg =  6 */   1309,   1607,   1806,  13700,  15664,  16057, 
/* msg =   7073, deg =  6 */    288,   3919,   6684,  10544,  12665,  13311, 
/* msg =   7074, deg =  6 */   1983,   2101,   5349,  13741,  17449,  19397, 
/* msg =   7075, deg =  6 */   2092,   7348,   7664,  17160,  18219,  18271, 
/* msg =   7076, deg =  6 */   6320,   7661,   8768,  13294,  15726,  16769, 
/* msg =   7077, deg =  6 */    738,   2820,   3870,  10068,  13920,  16759, 
/* msg =   7078, deg =  6 */   1401,   3545,   8514,  13053,  13979,  17433, 
/* msg =   7079, deg =  6 */   2412,   7805,   9500,  10762,  11635,  14995, 
/* msg =   7080, deg =  6 */   3345,   7769,   8816,  12936,  13193,  14766, 
/* msg =   7081, deg =  6 */   1599,   2226,   9568,  12207,  13604,  14974, 
/* msg =   7082, deg =  6 */   5360,   5491,   5560,  16108,  16243,  18128, 
/* msg =   7083, deg =  6 */   2435,   6759,   7152,  11258,  14216,  17031, 
/* msg =   7084, deg =  6 */   2958,   8064,   9944,  11825,  12604,  17632, 
/* msg =   7085, deg =  6 */   4349,   7093,   8942,  11224,  14285,  14610, 
/* msg =   7086, deg =  6 */   2550,   2847,   4866,  11841,  16659,  19648, 
/* msg =   7087, deg =  6 */    900,   3790,   5702,  10148,  14470,  18479, 
/* msg =   7088, deg =  6 */   3372,   6693,   7461,  12231,  15822,  16330, 
/* msg =   7089, deg =  6 */   2686,   6022,   8333,  10034,  12630,  16109, 
/* msg =   7090, deg =  6 */    330,    907,   7909,  15518,  17237,  17271, 
/* msg =   7091, deg =  6 */   1285,   5438,   7286,  12306,  14860,  16189, 
/* msg =   7092, deg =  6 */   4668,   7127,   8691,  14590,  15181,  17619, 
/* msg =   7093, deg =  6 */   1823,   6094,   8357,  13103,  14818,  17315, 
/* msg =   7094, deg =  6 */   3848,   5153,   6619,  15118,  17702,  18385, 
/* msg =   7095, deg =  6 */   1922,   1977,   3653,  16670,  17259,  18880, 
/* msg =   7096, deg =  6 */   2123,   8273,   9628,  12440,  14610,  19606, 
/* msg =   7097, deg =  6 */   4847,   5417,   6368,  12008,  16556,  19652, 
/* msg =   7098, deg =  6 */   2095,   5094,   7670,  12135,  12972,  18042, 
/* msg =   7099, deg =  6 */    312,   2181,   8306,  11647,  18748,  19412, 
/* msg =   7100, deg =  6 */    641,   2541,   5249,  16138,  18790,  18852, 
/* msg =   7101, deg =  6 */   3378,   4194,   8486,  10009,  12158,  18096, 
/* msg =   7102, deg =  6 */   1070,   5550,   5555,  11926,  15265,  16501, 
/* msg =   7103, deg =  6 */   1250,   2582,   9848,  11924,  16439,  18008, 
/* msg =   7104, deg =  6 */    120,   2883,   3144,  10033,  15697,  15876, 
/* msg =   7105, deg =  6 */    326,    363,   3330,  10417,  13950,  19475, 
/* msg =   7106, deg =  6 */   4706,   5424,   7613,  13232,  13715,  14474, 
/* msg =   7107, deg =  6 */     81,   1966,   6264,  10569,  12410,  16175, 
/* msg =   7108, deg =  6 */   1491,   6945,   8369,  15169,  15490,  18860, 
/* msg =   7109, deg =  6 */   2702,   3462,   4267,  10591,  18153,  18254, 
/* msg =   7110, deg =  6 */     70,   1119,   4062,  11001,  14826,  18249, 
/* msg =   7111, deg =  6 */   2523,   4904,   7413,  11002,  12002,  17998, 
/* msg =   7112, deg =  6 */   2375,   2762,   7966,  17572,  19079,  19697, 
/* msg =   7113, deg =  6 */   4682,   8027,   8645,  10218,  11890,  16262, 
/* msg =   7114, deg =  6 */   1060,   3115,   4273,  12102,  14916,  15106, 
/* msg =   7115, deg =  6 */   5199,   7711,   8012,  16746,  18698,  19806, 
/* msg =   7116, deg =  6 */   1183,   6611,   8235,  14711,  18846,  19327, 
/* msg =   7117, deg =  6 */   7258,   7466,   9358,  12928,  19070,  19908, 
/* msg =   7118, deg =  6 */    122,   5720,   5910,  10360,  15020,  17617, 
/* msg =   7119, deg =  6 */   1134,   7204,   7330,  10925,  15517,  18478, 
/* msg =   7120, deg =  6 */   4716,   6690,   7379,  14231,  15983,  19274, 
/* msg =   7121, deg =  6 */    340,   3321,   3973,  14562,  15218,  16658, 
/* msg =   7122, deg =  6 */   2207,   2500,   5666,  12262,  12628,  18718, 
/* msg =   7123, deg =  6 */   2360,   4511,   6748,  10871,  18071,  18737, 
/* msg =   7124, deg =  6 */   2240,   8828,   9788,  10166,  17691,  19367, 
/* msg =   7125, deg =  6 */   1036,   1722,   1913,  11378,  15516,  15948, 
/* msg =   7126, deg =  6 */   1098,   3722,   7215,  13529,  14174,  18697, 
/* msg =   7127, deg =  6 */    367,   8524,   9426,  14263,  15320,  18514, 
/* msg =   7128, deg =  6 */   5580,   9079,   9347,  14958,  15984,  18676, 
/* msg =   7129, deg =  6 */   6138,   7441,   8708,  12516,  12660,  16707, 
/* msg =   7130, deg =  6 */   6413,   8100,   9482,  10632,  14183,  17728, 
/* msg =   7131, deg =  6 */   6180,   6842,   9582,  12477,  17071,  17949, 
/* msg =   7132, deg =  6 */    188,   3220,   5204,  10877,  13866,  17880, 
/* msg =   7133, deg =  6 */   4657,   4755,   9136,  10523,  10875,  17497, 
/* msg =   7134, deg =  6 */   7472,   8886,   9141,  12862,  16325,  17817, 
/* msg =   7135, deg =  6 */   2463,   7515,   9020,  11283,  15771,  15956, 
/* msg =   7136, deg =  6 */   2385,   4378,   9456,  15514,  17424,  19136, 
/* msg =   7137, deg =  6 */   1369,   3185,   5581,  11044,  13703,  14975, 
/* msg =   7138, deg =  6 */   2488,   3164,   8857,  14913,  15406,  15609, 
/* msg =   7139, deg =  6 */   4031,   4578,   8757,  10402,  12606,  13085, 
/* msg =   7140, deg =  6 */   2283,   6288,   9685,  12987,  13574,  19514, 
/* msg =   7141, deg =  6 */   1001,   3116,   9626,  14131,  17545,  17871, 
/* msg =   7142, deg =  6 */     39,    287,   9669,  13416,  14189,  18184, 
/* msg =   7143, deg =  6 */   1748,   2672,   9759,  11656,  17165,  17722, 
/* msg =   7144, deg =  6 */    629,   1010,   3993,  10374,  13528,  15303, 
/* msg =   7145, deg =  6 */    600,   2113,   2242,  12755,  13744,  14159, 
/* msg =   7146, deg =  6 */   3413,   7879,   9007,  12198,  15517,  17247, 
/* msg =   7147, deg =  6 */   2585,   3139,   7045,  11918,  14157,  15370, 
/* msg =   7148, deg =  6 */   3430,   6355,   8861,  15778,  15818,  16808, 
/* msg =   7149, deg =  6 */   7151,   9554,   9968,  11176,  14033,  18388, 
/* msg =   7150, deg =  6 */     73,   1471,   9701,  12043,  12307,  14645, 
/* msg =   7151, deg =  6 */   2220,   5186,   5325,  11512,  12061,  12641, 
/* msg =   7152, deg =  6 */   6535,   8751,   9318,  11754,  12297,  13302, 
/* msg =   7153, deg =  6 */   1160,   6884,   9545,  12825,  14292,  18638, 
/* msg =   7154, deg =  6 */    775,   2373,   2614,  15145,  16362,  19089, 
/* msg =   7155, deg =  6 */    746,   1580,   7830,  10116,  10224,  12171, 
/* msg =   7156, deg =  6 */   4758,   5306,   6160,  10489,  10579,  10613, 
/* msg =   7157, deg =  6 */    630,   3976,   4736,  12243,  12701,  16834, 
/* msg =   7158, deg =  6 */   4653,   5334,   9502,  10275,  11438,  17829, 
/* msg =   7159, deg =  6 */   2200,   4677,   6716,  10965,  14067,  18302, 
/* msg =   7160, deg =  6 */   2832,   5114,   7925,  11760,  19376,  19877, 
/* msg =   7161, deg =  6 */     96,   1788,   9654,  11481,  15169,  15526, 
/* msg =   7162, deg =  6 */    550,   5078,   8214,  13255,  16495,  19383, 
/* msg =   7163, deg =  6 */   1365,   2086,   2705,  12901,  17006,  19119, 
/* msg =   7164, deg =  6 */   3890,   4728,   5284,  10202,  15785,  18855, 
/* msg =   7165, deg =  6 */   2520,   5342,   6251,  10506,  18660,  19219, 
/* msg =   7166, deg =  6 */   2935,   4008,   7478,  15576,  16823,  18208, 
/* msg =   7167, deg =  6 */   1836,   1957,   7372,  14887,  15247,  15745, 
/* msg =   7168, deg =  6 */    554,   1839,   3723,  10225,  15047,  16516, 
/* msg =   7169, deg =  6 */   1125,   6678,   7667,  12308,  14373,  14988, 
/* msg =   7170, deg =  6 */   3940,   5207,   6803,  10696,  16212,  17184, 
/* msg =   7171, deg =  6 */   3173,   3959,   9814,  10774,  17213,  18358, 
/* msg =   7172, deg =  6 */   3493,   3641,   8941,  15616,  19239,  19419, 
/* msg =   7173, deg =  6 */   4269,   4698,   8565,  12854,  14848,  18256, 
/* msg =   7174, deg =  6 */   1912,   2582,   4926,  10902,  17601,  19365, 
/* msg =   7175, deg =  6 */   4425,   5863,   9190,  13387,  14837,  14876, 
/* msg =   7176, deg =  6 */   1718,   7961,   8829,  11146,  13285,  18186, 
/* msg =   7177, deg =  6 */    395,   6880,   7000,  10737,  13762,  13920, 
/* msg =   7178, deg =  6 */   2950,   3732,   6147,  10928,  11482,  13042, 
/* msg =   7179, deg =  6 */    940,   1713,   9627,  10505,  11570,  19678, 
/* msg =   7180, deg =  6 */   2867,   8840,   9262,  13809,  14461,  16713, 
/* msg =   7181, deg =  6 */   2607,   6679,   8215,  10368,  11683,  19965, 
/* msg =   7182, deg =  6 */   1422,   2016,   9681,  11092,  15067,  16137, 
/* msg =   7183, deg =  6 */   3778,   7111,   8730,  10305,  16012,  16721, 
/* msg =   7184, deg =  6 */   3011,   3977,   7211,  11029,  12205,  18442, 
/* msg =   7185, deg =  6 */   1673,   2970,   4711,  12651,  13676,  16127, 
/* msg =   7186, deg =  6 */   1107,   5295,   5513,  10883,  11710,  15602, 
/* msg =   7187, deg =  6 */     20,   2243,   2454,  11841,  14275,  18207, 
/* msg =   7188, deg =  6 */   7494,   8401,   8667,  12520,  14015,  14078, 
/* msg =   7189, deg =  6 */   2216,   3651,   4716,  11934,  14605,  15031, 
/* msg =   7190, deg =  6 */   4543,   5363,   9462,  12062,  17687,  19374, 
/* msg =   7191, deg =  6 */   2136,   5431,   6591,  12714,  16052,  17677, 
/* msg =   7192, deg =  6 */   3272,   3928,   7310,  17882,  18340,  18349, 
/* msg =   7193, deg =  6 */   3741,   4910,   5636,  14944,  16569,  16992, 
/* msg =   7194, deg =  6 */      3,   5302,   5887,  11993,  18668,  19694, 
/* msg =   7195, deg =  6 */   3528,   6606,   8072,  13738,  16428,  19836, 
/* msg =   7196, deg =  6 */   2160,   3652,   4736,  11057,  14009,  15627, 
/* msg =   7197, deg =  6 */   3920,   6127,   9591,  13199,  15612,  15748, 
/* msg =   7198, deg =  6 */   3761,   5644,   9975,  10453,  18283,  19991, 
/* msg =   7199, deg =  6 */   2412,   3037,   3604,  10773,  11362,  16388, 
/* msg =   7200, deg =  6 */    605,   9072,   9646,  12104,  13744,  18694, 
/* msg =   7201, deg =  6 */   2070,   4479,   5816,  10689,  13728,  16941, 
/* msg =   7202, deg =  6 */    542,   3455,   6780,  13817,  15380,  18479, 
/* msg =   7203, deg =  6 */   2842,   3075,   5343,  12210,  14440,  15599, 
/* msg =   7204, deg =  6 */   2443,   6616,   7433,  12026,  15868,  18927, 
/* msg =   7205, deg =  6 */     58,   2560,   3717,  10142,  15906,  17919, 
/* msg =   7206, deg =  6 */   2034,   7545,   8173,  11198,  11603,  14767, 
/* msg =   7207, deg =  6 */    829,   4944,   5564,  14699,  15394,  19306, 
/* msg =   7208, deg =  6 */   4451,   5469,   6333,  10639,  15916,  16808, 
/* msg =   7209, deg =  6 */   5054,   5361,   5999,  10292,  15364,  16078, 
/* msg =   7210, deg =  6 */    640,   1900,   7098,  12312,  16645,  17137, 
/* msg =   7211, deg =  6 */   2960,   5274,   6334,  19066,  19254,  19979, 
/* msg =   7212, deg =  6 */   3104,   3678,   8074,  13853,  17085,  17282, 
/* msg =   7213, deg =  6 */   1538,   2816,   8863,  14428,  16468,  18091, 
/* msg =   7214, deg =  6 */   4185,   4204,   5310,  11164,  11605,  14224, 
/* msg =   7215, deg =  6 */   1920,   2147,   6521,  10856,  12115,  15134, 
/* msg =   7216, deg =  6 */   5794,   6452,   7213,  11951,  12453,  13329, 
/* msg =   7217, deg =  6 */   5256,   8243,   9543,  10271,  13794,  14015, 
/* msg =   7218, deg =  6 */    140,   1227,   7824,  11526,  15389,  18515, 
/* msg =   7219, deg =  6 */   3327,   3343,   8080,  10233,  11788,  14569, 
/* msg =   7220, deg =  6 */     51,   4226,   7922,  10031,  16364,  18861, 
/* msg =   7221, deg =  6 */    850,   3645,   9193,  16035,  16748,  19548, 
/* msg =   7222, deg =  6 */   7104,   8713,   9984,  13455,  14217,  17027, 
/* msg =   7223, deg =  6 */   1138,   3955,   4431,  13131,  17653,  17839, 
/* msg =   7224, deg =  6 */   1363,   2066,   3798,  12805,  15204,  15273, 
/* msg =   7225, deg =  6 */    916,   4202,   7116,  11989,  12121,  19386, 
/* msg =   7226, deg =  6 */    139,   5038,   9497,  11091,  12614,  17676, 
/* msg =   7227, deg =  6 */   5368,   7743,   9549,  15336,  18546,  19101, 
/* msg =   7228, deg =  6 */   2177,   3345,   7089,  15350,  18528,  18806, 
/* msg =   7229, deg =  6 */   5155,   5626,   7696,  11301,  16282,  16438, 
/* msg =   7230, deg =  6 */   2628,   3269,   9610,  13238,  13894,  16919, 
/* msg =   7231, deg =  6 */    794,   3816,   6998,  13838,  13840,  17321, 
/* msg =   7232, deg =  6 */    354,   6832,   9517,  16388,  18105,  18230, 
/* msg =   7233, deg =  6 */   5058,   7135,   7603,  13173,  16324,  17507, 
/* msg =   7234, deg =  6 */   2514,   4926,   9719,  13054,  15601,  19258, 
/* msg =   7235, deg =  6 */   8660,   8724,   9176,  17667,  18486,  19196, 
/* msg =   7236, deg =  6 */   2544,   7845,   8568,  12869,  14150,  17222, 
/* msg =   7237, deg =  6 */    223,   1918,   4379,  10225,  17248,  19701, 
/* msg =   7238, deg =  6 */   3622,   4666,   9501,  10958,  11393,  19024, 
/* msg =   7239, deg =  6 */   4018,   5520,   8741,  15546,  16654,  18949, 
/* msg =   7240, deg =  6 */   3959,   4200,   9574,  11821,  12343,  19044, 
/* msg =   7241, deg =  6 */   3282,   5787,   6694,  12604,  13732,  16595, 
/* msg =   7242, deg =  6 */   3735,   4140,   8560,  15886,  17026,  17440, 
/* msg =   7243, deg =  6 */   2048,   3015,   6353,  12163,  13116,  17603, 
/* msg =   7244, deg =  6 */    216,   5590,   9943,  12457,  13270,  15201, 
/* msg =   7245, deg =  6 */   4464,   4521,   8457,  10977,  16272,  17792, 
/* msg =   7246, deg =  6 */   8375,   8740,   8905,  17341,  18824,  19794, 
/* msg =   7247, deg =  6 */   2015,   2757,   4553,  10648,  12350,  13850, 
/* msg =   7248, deg =  6 */   2365,   2801,   8437,  10344,  12220,  13114, 
/* msg =   7249, deg =  6 */   2645,   5052,   7564,  11079,  17832,  19891, 
/* msg =   7250, deg =  6 */    522,   5098,   8027,  11209,  15026,  17720, 
/* msg =   7251, deg =  6 */   2543,   7633,   9168,  10936,  17242,  18535, 
/* msg =   7252, deg =  6 */   1881,   7500,   8329,  10413,  12162,  17496, 
/* msg =   7253, deg =  6 */    328,   4818,   5443,  10344,  16443,  17317, 
/* msg =   7254, deg =  6 */   3740,   8572,   9936,  11033,  15651,  19521, 
/* msg =   7255, deg =  6 */   5383,   7212,   9748,  13662,  18709,  18903, 
/* msg =   7256, deg =  6 */   4943,   6951,   7148,  11157,  11904,  17718, 
/* msg =   7257, deg =  6 */   1368,   2688,   6838,  13972,  14318,  16298, 
/* msg =   7258, deg =  6 */    147,   3739,   5685,  13279,  17275,  19087, 
/* msg =   7259, deg =  6 */   6557,   6629,   9489,  11282,  12299,  13503, 
/* msg =   7260, deg =  6 */   7908,   9852,   9951,  11379,  16245,  17963, 
/* msg =   7261, deg =  6 */   1039,   3513,   5570,  11513,  11669,  19398, 
/* msg =   7262, deg =  6 */    468,   4418,   7313,  12527,  15844,  16174, 
/* msg =   7263, deg =  6 */   6065,   7220,   9838,  10537,  13008,  16803, 
/* msg =   7264, deg =  6 */   1147,   1627,   7406,  10957,  12729,  15148, 
/* msg =   7265, deg =  6 */   2597,   7084,   8182,  16434,  16809,  17343, 
/* msg =   7266, deg =  6 */   4123,   4483,   5333,  13266,  13725,  15283, 
/* msg =   7267, deg =  6 */     36,   4856,   7035,  11111,  15125,  18431, 
/* msg =   7268, deg =  6 */    763,   3014,   8324,  13150,  17814,  18725, 
/* msg =   7269, deg =  6 */     53,   2355,   6056,  11460,  12211,  15191, 
/* msg =   7270, deg =  6 */    952,   6570,   8889,  13392,  17322,  19185, 
/* msg =   7271, deg =  6 */   1361,   4892,   6209,  14618,  16095,  19187, 
/* msg =   7272, deg =  6 */    306,   7001,   7491,  11802,  14713,  17848, 
/* msg =   7273, deg =  6 */    281,   1257,   1426,  10217,  11863,  18190, 
/* msg =   7274, deg =  6 */    790,   1974,   8728,  13697,  15086,  15671, 
/* msg =   7275, deg =  6 */    201,   4281,   6380,  12123,  14762,  15887, 
/* msg =   7276, deg =  6 */   3874,   6578,   8112,  10756,  12044,  17751, 
/* msg =   7277, deg =  6 */   3267,   3807,   5651,  14377,  14793,  19095, 
/* msg =   7278, deg =  6 */    875,   3355,   5671,  11674,  17131,  19340, 
/* msg =   7279, deg =  6 */   3360,   5791,   6684,  12250,  17219,  19001, 
/* msg =   7280, deg =  6 */   1213,   2105,   2401,  15947,  18026,  18584, 
/* msg =   7281, deg =  6 */   3247,   3358,   8113,  11084,  11253,  12317, 
/* msg =   7282, deg =  6 */    544,   4452,   9637,  13180,  15242,  19093, 
/* msg =   7283, deg =  6 */   2732,   5131,   7163,  12011,  12801,  19848, 
/* msg =   7284, deg =  6 */   2040,   4880,   9085,  11187,  12404,  13823, 
/* msg =   7285, deg =  6 */   1091,   1926,   6158,  10623,  16811,  18780, 
/* msg =   7286, deg =  6 */   2864,   7642,   9051,  11611,  11644,  13437, 
/* msg =   7287, deg =  6 */   3201,   9152,   9788,  13978,  14407,  19113, 
/* msg =   7288, deg =  6 */    760,   1538,   4768,  13571,  14578,  15373, 
/* msg =   7289, deg =  6 */   1825,   4801,   9894,  13889,  14531,  15121, 
/* msg =   7290, deg =  6 */   3916,   7724,   8921,  15016,  18107,  18763, 
/* msg =   7291, deg =  6 */   2355,   6457,   6599,  11604,  14005,  14662, 
/* msg =   7292, deg =  6 */     20,    871,   3565,  14480,  17673,  18781, 
/* msg =   7293, deg =  6 */     80,   4408,   8951,  10110,  10360,  15216, 
/* msg =   7294, deg =  6 */   1820,   2966,   8637,  11488,  12653,  16445, 
/* msg =   7295, deg =  6 */     93,   6285,   7449,  10446,  12466,  16392, 
/* msg =   7296, deg =  6 */    830,   4177,   9633,  10340,  14267,  17249, 
/* msg =   7297, deg =  6 */    558,   6577,   9207,  11704,  13107,  14672, 
/* msg =   7298, deg =  6 */   2348,   7315,   7397,  14768,  15656,  18894, 
/* msg =   7299, deg =  6 */   3357,   7350,   9659,  10017,  15289,  17063, 
/* msg =   7300, deg =  6 */   1884,   3246,   9928,  10340,  11226,  11518, 
/* msg =   7301, deg =  6 */   4111,   6683,   9831,  10431,  10891,  18830, 
/* msg =   7302, deg =  6 */    886,    940,   3963,  10323,  11789,  19145, 
/* msg =   7303, deg =  6 */   2705,   3884,   5244,  11148,  12453,  19318, 
/* msg =   7304, deg =  6 */   1521,   5744,   6946,  11111,  11972,  14982, 
/* msg =   7305, deg =  6 */   1061,   3130,   5101,  13536,  19231,  19884, 
/* msg =   7306, deg =  6 */   2960,   3030,   3827,  13772,  15823,  18064, 
/* msg =   7307, deg =  6 */   2392,   4924,   8347,  12546,  14820,  15271, 
/* msg =   7308, deg =  6 */    608,   2512,   5657,  14074,  17308,  18135, 
/* msg =   7309, deg =  6 */   1579,   1792,   7466,  11753,  11922,  13550, 
/* msg =   7310, deg =  6 */   3988,   5449,   6159,  14115,  14654,  19180, 
/* msg =   7311, deg =  6 */   4329,   4885,   8063,  10798,  12941,  14221, 
/* msg =   7312, deg =  6 */   2696,   4519,   8393,  11902,  12117,  15190, 
/* msg =   7313, deg =  6 */    393,   2957,   9633,  14048,  16578,  19725, 
/* msg =   7314, deg =  6 */   2430,   5017,   7031,  10706,  17008,  17902, 
/* msg =   7315, deg =  6 */   2566,   6448,   9850,  11762,  12313,  17584, 
/* msg =   7316, deg =  6 */   1121,   4725,   6640,  16385,  16738,  16884, 
/* msg =   7317, deg =  6 */   2102,   2902,   8497,  13131,  18449,  19688, 
/* msg =   7318, deg =  6 */   4461,   7356,   8096,  16120,  16723,  18519, 
/* msg =   7319, deg =  6 */   3985,   4239,   6647,  12082,  15251,  16990, 
/* msg =   7320, deg =  6 */    430,   3741,   9484,  15903,  17919,  18549, 
/* msg =   7321, deg =  6 */   4342,   5618,   9504,  15266,  15826,  18689, 
/* msg =   7322, deg =  6 */   1960,   5178,   6791,  10442,  12226,  15841, 
/* msg =   7323, deg =  6 */    895,   1674,   2037,  12984,  16159,  19723, 
/* msg =   7324, deg =  6 */    984,   3326,   7318,  11730,  14953,  16469, 
/* msg =   7325, deg =  6 */   2000,   4555,   6021,  11041,  12388,  15525, 
/* msg =   7326, deg =  6 */   4867,   9401,   9666,  12899,  17025,  18702, 
/* msg =   7327, deg =  6 */   5374,   6483,   8569,  10489,  13463,  16504, 
/* msg =   7328, deg =  6 */    966,   1036,   6898,  14914,  15905,  18484, 
/* msg =   7329, deg =  6 */    771,   6182,   8273,  12072,  14664,  15441, 
/* msg =   7330, deg =  6 */   4451,   6390,   9878,  12691,  17664,  18089, 
/* msg =   7331, deg =  6 */   3441,   3452,   8074,  10258,  13638,  15882, 
/* msg =   7332, deg =  6 */    414,   5128,   9237,  12829,  19561,  19933, 
/* msg =   7333, deg =  6 */   1305,   5082,   5215,  12240,  15832,  17262, 
/* msg =   7334, deg =  6 */   4235,   6459,   7844,  11200,  12469,  17556, 
/* msg =   7335, deg =  6 */   1513,   2937,   5801,  10224,  18916,  18997, 
/* msg =   7336, deg =  6 */    111,   2249,   8537,  10126,  13094,  15623, 
/* msg =   7337, deg =  6 */   2360,   4182,   8274,  10294,  11047,  15935, 
/* msg =   7338, deg =  6 */   1713,   2682,   3108,  10894,  12215,  14569, 
/* msg =   7339, deg =  6 */   2781,   7683,   8089,  15767,  16395,  16404, 
/* msg =   7340, deg =  6 */   1859,   5620,   7303,  13945,  17249,  17444, 
/* msg =   7341, deg =  6 */     37,   3705,   6797,  12009,  13084,  16751, 
/* msg =   7342, deg =  6 */     85,    930,   2018,  14852,  16448,  17869, 
/* msg =   7343, deg =  6 */    659,   1853,   3797,  11633,  15490,  18095, 
/* msg =   7344, deg =  6 */   2389,   6646,   9663,  13617,  19004,  19133, 
/* msg =   7345, deg =  6 */   1593,   1829,   1968,  11992,  14497,  17996, 
/* msg =   7346, deg =  6 */   1542,   1972,   9179,  12216,  16194,  19427, 
/* msg =   7347, deg =  6 */   2777,   6102,   9614,  10171,  18727,  19929, 
/* msg =   7348, deg =  6 */   5485,   6360,   7047,  12202,  14462,  14910, 
/* msg =   7349, deg =  6 */   4160,   4931,   7288,  14257,  14396,  18645, 
/* msg =   7350, deg =  6 */   5902,   7012,   9713,  14799,  14901,  17998, 
/* msg =   7351, deg =  6 */    599,   1407,   2592,  12722,  17163,  19764, 
/* msg =   7352, deg =  6 */    923,   3753,   9976,  17776,  18244,  19469, 
/* msg =   7353, deg =  6 */   3551,   4104,   8578,  13836,  14052,  15835, 
/* msg =   7354, deg =  6 */   3407,   4795,   5407,  12835,  13808,  15805, 
/* msg =   7355, deg =  6 */   1902,   3643,   9136,  13342,  14499,  18221, 
/* msg =   7356, deg =  6 */   3326,   5932,   7525,  15184,  19066,  19490, 
/* msg =   7357, deg =  6 */    368,   3106,   5495,  14984,  16326,  19876, 
/* msg =   7358, deg =  6 */    131,   4992,   9496,  14193,  15526,  16356, 
/* msg =   7359, deg =  6 */     55,   1970,   7760,  10012,  14777,  15872, 
/* msg =   7360, deg =  6 */   4880,   6980,   7440,  11485,  12862,  17905, 
/* msg =   7361, deg =  6 */    285,   1195,   2048,  10483,  13969,  14555, 
/* msg =   7362, deg =  6 */   3072,   8587,   9126,  13710,  14941,  19488, 
/* msg =   7363, deg =  6 */   4540,   4812,   9171,  11280,  13442,  13845, 
/* msg =   7364, deg =  6 */   1037,   4376,   7798,  10255,  14765,  18481, 
/* msg =   7365, deg =  6 */    643,   4547,   7529,  10931,  14462,  17988, 
/* msg =   7366, deg =  6 */   3290,   3339,   7023,  14609,  16966,  18734, 
/* msg =   7367, deg =  6 */   1725,   1886,   5380,  14345,  15964,  19630, 
/* msg =   7368, deg =  6 */   2973,   3077,   4382,  12026,  16558,  19679, 
/* msg =   7369, deg =  6 */   4220,   5663,   5901,  13724,  17039,  17806, 
/* msg =   7370, deg =  6 */   4118,   5137,   7132,  11640,  13432,  19304, 
/* msg =   7371, deg =  6 */   1288,   4925,   9133,  11239,  11600,  18921, 
/* msg =   7372, deg =  6 */   1295,   1806,   2945,  11188,  14330,  16024, 
/* msg =   7373, deg =  6 */   4242,   8800,   9535,  11124,  17422,  19924, 
/* msg =   7374, deg =  6 */   3912,   5200,   6757,  16875,  17073,  18580, 
/* msg =   7375, deg =  6 */   7807,   9156,   9789,  12021,  16774,  17566, 
/* msg =   7376, deg =  6 */     43,   5951,   7046,  10278,  13230,  19461, 
/* msg =   7377, deg =  6 */   2758,   3048,   9324,  11696,  12708,  18193, 
/* msg =   7378, deg =  6 */   1166,   2576,   3724,  11380,  15788,  17314, 
/* msg =   7379, deg =  6 */   2308,   5610,   6366,  15195,  16103,  19513, 
/* msg =   7380, deg =  6 */    203,   3634,   3770,  12432,  15890,  17857, 
/* msg =   7381, deg =  6 */   3108,   3964,   8637,  12280,  18226,  19931, 
/* msg =   7382, deg =  6 */   2496,   3666,   4371,  12146,  13177,  14922, 
/* msg =   7383, deg =  6 */    194,   1405,   4767,  15629,  18061,  18495, 
/* msg =   7384, deg =  6 */   1403,   6576,   8236,  11506,  12723,  18056, 
/* msg =   7385, deg =  6 */   1337,   2450,   8218,  11986,  17550,  18795, 
/* msg =   7386, deg =  6 */   1296,   5454,   8237,  12045,  13207,  17842, 
/* msg =   7387, deg =  6 */    888,   1845,   2611,  14553,  15096,  17098, 
/* msg =   7388, deg =  6 */   3200,   6934,   8103,  12109,  13694,  16502, 
/* msg =   7389, deg =  6 */   1415,   2945,   4601,  14849,  18470,  18568, 
/* msg =   7390, deg =  6 */   6186,   7177,   9362,  18109,  19494,  19510, 
/* msg =   7391, deg =  6 */   2571,   3931,   7367,  10291,  14345,  19783, 
/* msg =   7392, deg =  6 */   3240,   3838,   6497,  10153,  10896,  17021, 
/* msg =   7393, deg =  6 */   4491,   5489,   8374,  12686,  14186,  14815, 
/* msg =   7394, deg =  6 */    822,   3979,   8022,  12868,  18429,  18727, 
/* msg =   7395, deg =  6 */   3505,   5570,   9257,  10167,  12138,  13524, 
/* msg =   7396, deg =  6 */   2785,   3056,   7064,  11934,  13354,  19017, 
/* msg =   7397, deg =  6 */   1536,   6805,   8713,  13565,  15653,  17497, 
/* msg =   7398, deg =  6 */   1292,   2509,   5325,  10336,  10503,  14440, 
/* msg =   7399, deg =  6 */    309,   5095,   6802,  12593,  16295,  17962, 
/* msg =   7400, deg =  6 */   4512,   5517,   9248,  12367,  14465,  15863, 
/* msg =   7401, deg =  6 */   2695,   2966,   3821,  10053,  12413,  13667, 
/* msg =   7402, deg =  6 */   1882,   4581,   5136,  11322,  16077,  16733, 
/* msg =   7403, deg =  6 */   3325,   4357,   9938,  13618,  14691,  19350, 
/* msg =   7404, deg =  6 */    121,   2723,   4015,  15379,  15815,  15974, 
/* msg =   7405, deg =  6 */    789,   1949,   4101,  11373,  13393,  17651, 
/* msg =   7406, deg =  6 */    522,   3253,   7069,  13170,  16132,  18832, 
/* msg =   7407, deg =  6 */   3100,   8003,   9107,  13360,  16420,  19528, 
/* msg =   7408, deg =  6 */   5043,   6036,   9763,  10011,  14350,  18356, 
/* msg =   7409, deg =  6 */   2358,   8691,   8957,  11123,  16802,  16872, 
/* msg =   7410, deg =  6 */   2872,   5732,   9541,  10014,  11409,  14923, 
/* msg =   7411, deg =  6 */   6825,   6837,   8423,  15413,  15475,  16582, 
/* msg =   7412, deg =  6 */   4420,   7257,   9250,  11085,  12409,  13298, 
/* msg =   7413, deg =  6 */   4695,   7793,   9710,  11295,  11587,  14955, 
/* msg =   7414, deg =  6 */   2001,   5638,   7196,  13259,  17469,  18434, 
/* msg =   7415, deg =  6 */    639,   5710,   6938,  13264,  13599,  16612, 
/* msg =   7416, deg =  6 */   3095,   3871,   7782,  10281,  12537,  15112, 
/* msg =   7417, deg =  6 */   2357,   4900,   5293,  12592,  12980,  19132, 
/* msg =   7418, deg =  6 */   1913,   3368,   8521,  14325,  15846,  18249, 
/* msg =   7419, deg =  6 */   1376,   4342,   6545,  10540,  12270,  17735, 
/* msg =   7420, deg =  6 */   5943,   7470,   8112,  16697,  17210,  18297, 
/* msg =   7421, deg =  6 */   1851,   4239,   5948,  13185,  14898,  16013, 
/* msg =   7422, deg =  6 */   1456,   7428,   9016,  12142,  17349,  18054, 
/* msg =   7423, deg =  6 */   2076,   9161,   9875,  12623,  13421,  17560, 
/* msg =   7424, deg =  6 */   2038,   4056,   5535,  12929,  18257,  19294, 
/* msg =   7425, deg =  6 */   1386,   2428,   2686,  12496,  16876,  19855, 
/* msg =   7426, deg =  6 */   2041,   7448,   8217,  17267,  19439,  19888, 
/* msg =   7427, deg =  6 */    660,   3901,   6458,  11627,  17019,  19186, 
/* msg =   7428, deg =  6 */    133,   2518,   6133,  12217,  16319,  19236, 
/* msg =   7429, deg =  6 */    733,   3509,   6840,  10073,  12727,  16711, 
/* msg =   7430, deg =  6 */   2718,   9589,   9877,  10067,  11728,  19951, 
/* msg =   7431, deg =  6 */   2739,   4649,   8710,  15821,  16969,  19610, 
/* msg =   7432, deg =  6 */   5402,   6527,   8628,  10247,  12848,  17872, 
/* msg =   7433, deg =  6 */   6174,   6409,   7020,  10111,  10358,  17406, 
/* msg =   7434, deg =  6 */   3512,   4632,   7889,  11531,  18943,  19835, 
/* msg =   7435, deg =  6 */   1146,   5147,   5725,  10481,  16874,  17114, 
/* msg =   7436, deg =  6 */    431,   6542,   6948,  13632,  14368,  16430, 
/* msg =   7437, deg =  6 */   2954,   4484,   7526,  16530,  17456,  18954, 
/* msg =   7438, deg =  6 */   5647,   6713,   6906,  14680,  15731,  18616, 
/* msg =   7439, deg =  6 */   1191,   2371,   4902,  10761,  15433,  17417, 
/* msg =   7440, deg =  6 */   3621,   9273,   9692,  18128,  18146,  19243, 
/* msg =   7441, deg =  6 */   7732,   8085,   9370,  12657,  14201,  16513, 
/* msg =   7442, deg =  6 */    874,   4181,   5726,  11072,  11205,  19442, 
/* msg =   7443, deg =  6 */   4413,   5904,   9864,  13859,  15337,  19181, 
/* msg =   7444, deg =  6 */   4135,   4412,   7508,  11842,  16337,  17355, 
/* msg =   7445, deg =  6 */   1436,   2639,   9183,  10020,  11772,  17762, 
/* msg =   7446, deg =  6 */   3975,   5107,   8348,  12674,  12727,  15749, 
/* msg =   7447, deg =  6 */   2118,   4717,   7205,  14171,  14922,  18097, 
/* msg =   7448, deg =  6 */   2245,   5135,   6224,  12813,  18287,  18554, 
/* msg =   7449, deg =  6 */   4333,   5746,   8089,  13197,  15845,  18947, 
/* msg =   7450, deg =  6 */   6281,   7805,   9777,  11840,  17012,  19334, 
/* msg =   7451, deg =  6 */   6655,   6905,   9427,  10305,  11605,  12030, 
/* msg =   7452, deg =  6 */   4558,   6225,   9758,  15837,  16005,  18842, 
/* msg =   7453, deg =  6 */   2604,   2906,   9406,  15306,  16978,  17404, 
/* msg =   7454, deg =  6 */    914,   1172,   2294,  10870,  13631,  18859, 
/* msg =   7455, deg =  6 */   1058,   5522,   6221,  14137,  16323,  18328, 
/* msg =   7456, deg =  6 */   2336,   3966,   9454,  11850,  15528,  18624, 
/* msg =   7457, deg =  6 */   1389,   3521,   5810,  10713,  15595,  16045, 
/* msg =   7458, deg =  6 */   1696,   9708,   9976,  11066,  13733,  16782, 
/* msg =   7459, deg =  6 */   2394,   2923,   3051,  10458,  10938,  16822, 
/* msg =   7460, deg =  6 */   6403,   6477,   8229,  14006,  15286,  18111, 
/* msg =   7461, deg =  6 */   3431,   4027,   4584,  12126,  14184,  15724, 
/* msg =   7462, deg =  6 */   4688,   5662,   6014,  12968,  16841,  17227, 
/* msg =   7463, deg =  6 */    789,   4363,   8302,  11115,  14983,  18143, 
/* msg =   7464, deg =  6 */   5770,   9205,   9368,  14337,  16201,  19714, 
/* msg =   7465, deg =  6 */   5552,   7597,   9161,  12942,  13174,  17183, 
/* msg =   7466, deg =  6 */   1402,   3490,   7456,  11505,  17679,  19746, 
/* msg =   7467, deg =  6 */   1992,   7037,   7363,  11572,  14821,  15575, 
/* msg =   7468, deg =  6 */   6695,   7279,   9433,  10558,  13789,  18601, 
/* msg =   7469, deg =  6 */   2920,   5908,   8635,  11428,  16337,  19810, 
/* msg =   7470, deg =  6 */     64,   3311,   4147,  10907,  14153,  14602, 
/* msg =   7471, deg =  6 */   5373,   5856,   6075,  14911,  16023,  18710, 
/* msg =   7472, deg =  6 */   6144,   7377,   7835,  12738,  16370,  19228, 
/* msg =   7473, deg =  6 */   1302,   1474,   9071,  10323,  12751,  17345, 
/* msg =   7474, deg =  6 */   1035,   2817,   7020,  12546,  12828,  17725, 
/* msg =   7475, deg =  6 */    843,   5165,   8262,  10833,  14586,  16011, 
/* msg =   7476, deg =  6 */   1366,   8230,   8604,  10840,  11169,  18790, 
/* msg =   7477, deg =  6 */   5942,   9178,   9959,  11467,  16480,  18649, 
/* msg =   7478, deg =  6 */   3523,   7193,   8570,  12190,  12810,  13724, 
/* msg =   7479, deg =  6 */   3350,   7009,   9180,  10542,  15117,  19861, 
/* msg =   7480, deg =  6 */    914,   2297,   7567,  10610,  12133,  17820, 
/* msg =   7481, deg =  6 */    633,   6545,   6676,  11515,  17806,  19960, 
/* msg =   7482, deg =  6 */   5058,   8016,   9925,  12673,  13316,  16483, 
/* msg =   7483, deg =  6 */     72,    661,   4566,  15543,  15644,  18797, 
/* msg =   7484, deg =  6 */    702,    833,   1985,  15104,  15636,  18103, 
/* msg =   7485, deg =  6 */   1670,   3408,   6199,  10536,  14583,  18378, 
/* msg =   7486, deg =  6 */   1395,   5584,   7469,  10323,  13924,  16472, 
/* msg =   7487, deg =  6 */   1569,   2973,   8232,  12113,  12731,  18907, 
/* msg =   7488, deg =  6 */    607,   8544,   8862,  13777,  14580,  14737, 
/* msg =   7489, deg =  6 */   1454,   5081,   9836,  12265,  15936,  17763, 
/* msg =   7490, deg =  6 */   3179,   3596,   6712,  10609,  11141,  19127, 
/* msg =   7491, deg =  6 */   2142,   3043,   9089,  15276,  18651,  19951, 
/* msg =   7492, deg =  6 */   5525,   6232,   7006,  10121,  16165,  17823, 
/* msg =   7493, deg =  6 */    321,   3657,   4966,  12613,  14967,  17434, 
/* msg =   7494, deg =  6 */     63,   1207,   8484,  12002,  16470,  18537, 
/* msg =   7495, deg =  6 */   5834,   7817,   9356,  11294,  13083,  17914, 
/* msg =   7496, deg =  6 */   1080,   2811,   3066,  10468,  11944,  16372, 
/* msg =   7497, deg =  6 */   1112,   2559,   7871,  10833,  13580,  14511, 
/* msg =   7498, deg =  6 */   6134,   7097,   9394,  13235,  14669,  15548, 
/* msg =   7499, deg =  6 */    357,   8675,   9051,  16786,  19039,  19718, 
/* msg =   7500, deg =  6 */   5722,   8518,   9907,  11181,  13252,  13715, 
/* msg =   7501, deg =  6 */    942,   3070,   8321,  10733,  13702,  13773, 
/* msg =   7502, deg =  6 */   3392,   5009,   6975,  11434,  12674,  12720, 
/* msg =   7503, deg =  6 */    415,   3022,   3640,  12306,  14702,  19160, 
/* msg =   7504, deg =  6 */    226,   3241,   9173,  14295,  14830,  15119, 
/* msg =   7505, deg =  6 */   1752,   3273,   9849,  10859,  12521,  15753, 
/* msg =   7506, deg =  6 */   4903,   4973,   8674,  11926,  14240,  16980, 
/* msg =   7507, deg =  6 */   1955,   3277,   8879,  10015,  11992,  17553, 
/* msg =   7508, deg =  6 */   2984,   5806,   6893,  14787,  16567,  17280, 
/* msg =   7509, deg =  6 */   5309,   5356,   9600,  16508,  18789,  19949, 
/* msg =   7510, deg =  6 */    624,   1310,   1776,  17945,  18721,  19802, 
/* msg =   7511, deg =  6 */   4371,   5113,   9719,  10473,  10658,  17388, 
/* msg =   7512, deg =  6 */   4303,   6161,   8766,  11204,  11775,  14404, 
/* msg =   7513, deg =  6 */   2134,   5396,   6763,  16212,  17196,  17450, 
/* msg =   7514, deg =  6 */   1079,   5932,   7014,  11941,  13476,  15309, 
/* msg =   7515, deg =  6 */    841,   1852,   7324,  10740,  11812,  19237, 
/* msg =   7516, deg =  6 */    116,   2130,   4695,  10511,  14914,  15746, 
/* msg =   7517, deg =  6 */   2111,   4500,   5400,  12974,  14372,  18850, 
/* msg =   7518, deg =  6 */    391,   4629,   4764,  10711,  16911,  17852, 
/* msg =   7519, deg =  6 */   2982,   6613,   7901,  10367,  11874,  13995, 
/* msg =   7520, deg =  6 */   5282,   8269,   8510,  13974,  17067,  18523, 
/* msg =   7521, deg =  6 */   2829,   5774,   8444,  12446,  17384,  19380, 
/* msg =   7522, deg =  6 */   1734,   3699,   4508,  13740,  17127,  18508, 
/* msg =   7523, deg =  6 */    543,   2239,   8370,  11655,  14791,  19292, 
/* msg =   7524, deg =  6 */    579,   3589,   6044,  15784,  16266,  16437, 
/* msg =   7525, deg =  6 */   2487,   5567,   9173,  11937,  16843,  19690, 
/* msg =   7526, deg =  6 */   7210,   7873,   8754,  12326,  16385,  17556, 
/* msg =   7527, deg =  6 */    746,   4742,   9797,  17813,  18068,  19059, 
/* msg =   7528, deg =  6 */   8522,   8845,   9021,  11697,  14064,  16442, 
/* msg =   7529, deg =  6 */   1875,   2188,   7832,  11994,  15798,  15836, 
/* msg =   7530, deg =  6 */   1237,   2189,   3478,  10656,  14964,  15595, 
/* msg =   7531, deg =  6 */    573,   2632,   8883,  10110,  10698,  17048, 
/* msg =   7532, deg =  6 */   1906,   5530,   7499,  13618,  13689,  16468, 
/* msg =   7533, deg =  6 */   2445,   3845,   4439,  10682,  15327,  16262, 
/* msg =   7534, deg =  6 */   6436,   6775,   7141,  11577,  19661,  19685, 
/* msg =   7535, deg =  6 */    118,   1933,   4379,  12780,  15356,  16507, 
/* msg =   7536, deg =  6 */   3087,   4773,   7582,  10765,  14100,  19851, 
/* msg =   7537, deg =  6 */   1266,   2193,   9950,  15515,  15942,  16204, 
/* msg =   7538, deg =  6 */   2796,   7461,   8999,  13498,  15389,  16566, 
/* msg =   7539, deg =  6 */   2751,   3571,   6020,  13571,  16199,  18824, 
/* msg =   7540, deg =  6 */    590,   7477,   9632,  10789,  12287,  17006, 
/* msg =   7541, deg =  6 */   1239,   2317,   7628,  10238,  11433,  16338, 
/* msg =   7542, deg =  6 */    220,   5188,   8884,  10571,  12121,  14053, 
/* msg =   7543, deg =  6 */   3117,   6960,   7256,  12156,  14896,  18932, 
/* msg =   7544, deg =  6 */   2190,   2792,   4050,  15291,  17280,  17948, 
/* msg =   7545, deg =  6 */   5264,   5505,   9158,  11265,  11889,  19379, 
/* msg =   7546, deg =  6 */   1791,   4994,   6809,  13389,  13525,  16846, 
/* msg =   7547, deg =  6 */    198,   1134,   8057,  11985,  14168,  15689, 
/* msg =   7548, deg =  6 */    622,   1606,   3232,  11955,  12016,  12129, 
/* msg =   7549, deg =  6 */   1007,   5272,   7790,  10421,  11876,  17589, 
/* msg =   7550, deg =  6 */   3731,   4644,   5350,  13603,  14609,  14800, 
/* msg =   7551, deg =  6 */   4445,   8977,   9518,  11117,  13260,  15371, 
/* msg =   7552, deg =  6 */   1255,   5047,   6030,  10182,  10189,  13667, 
/* msg =   7553, deg =  6 */   3965,   8847,   9398,  11212,  12981,  19147, 
/* msg =   7554, deg =  6 */   2715,   3073,   3524,  12634,  16062,  17990, 
/* msg =   7555, deg =  6 */   3934,   4475,   9514,  10140,  11250,  16544, 
/* msg =   7556, deg =  6 */     89,   2756,   7373,  10592,  15783,  18297, 
/* msg =   7557, deg =  6 */   2443,   7005,   8473,  11460,  15594,  19882, 
/* msg =   7558, deg =  6 */   5026,   5816,   6255,  16313,  17984,  18440, 
/* msg =   7559, deg =  6 */   2763,   3719,   9575,  16944,  17704,  19235, 
/* msg =   7560, deg =  6 */    813,   5092,   9257,  12627,  12758,  13578, 
/* msg =   7561, deg =  6 */   3279,   5396,   5437,  14470,  16834,  17137, 
/* msg =   7562, deg =  6 */   1732,   5499,   7777,  11110,  14495,  15667, 
/* msg =   7563, deg =  6 */    536,   1495,   5762,  10604,  14242,  15679, 
/* msg =   7564, deg =  6 */   1259,   4596,   6033,  10000,  14995,  15256, 
/* msg =   7565, deg =  6 */   2149,   3157,   6322,  11908,  12924,  13402, 
/* msg =   7566, deg =  6 */   7018,   7154,   9767,  14500,  18872,  19311, 
/* msg =   7567, deg =  6 */   3753,   4711,   6560,  10296,  16310,  17988, 
/* msg =   7568, deg =  6 */   2352,   7850,   9976,  11670,  15098,  18833, 
/* msg =   7569, deg =  6 */   8859,   9158,   9605,  12252,  13155,  17681, 
/* msg =   7570, deg =  6 */   1142,   2515,   3488,  12888,  13137,  19786, 
/* msg =   7571, deg =  6 */   1526,   6283,   7272,  15192,  18436,  19378, 
/* msg =   7572, deg =  6 */   2028,   2426,   9860,  16020,  16165,  18820, 
/* msg =   7573, deg =  6 */   3887,   5149,   7347,  11342,  15431,  17672, 
/* msg =   7574, deg =  6 */   4356,   6119,   8577,  12511,  14589,  15345, 
/* msg =   7575, deg =  6 */   1012,   2307,   8377,  13606,  14860,  16299, 
/* msg =   7576, deg =  6 */   2744,   4593,   9198,  13168,  13393,  16814, 
/* msg =   7577, deg =  6 */   2624,   7215,   7623,  11000,  18991,  19799, 
/* msg =   7578, deg =  6 */   1642,   4006,   4696,  11346,  15038,  15879, 
/* msg =   7579, deg =  6 */   5019,   7164,   7268,  10443,  14291,  16426, 
/* msg =   7580, deg =  6 */   4725,   7204,   7804,  10088,  14909,  18719, 
/* msg =   7581, deg =  6 */    513,   7618,   7821,  12157,  14287,  18917, 
/* msg =   7582, deg =  6 */    660,   9371,   9850,  14845,  15330,  16181, 
/* msg =   7583, deg =  6 */   2414,   9214,   9590,  10590,  11655,  16071, 
/* msg =   7584, deg =  6 */   1171,   6191,   9358,  10918,  10967,  14214, 
/* msg =   7585, deg =  6 */   4550,   5130,   9184,  12918,  16507,  19195, 
/* msg =   7586, deg =  6 */   6743,   6918,   9536,  10735,  12343,  16221, 
/* msg =   7587, deg =  6 */   4852,   7506,   7737,  13058,  13461,  14944, 
/* msg =   7588, deg =  6 */    911,   8935,   9017,  10232,  16523,  17694, 
/* msg =   7589, deg =  6 */   2379,   6081,   6650,  15834,  17783,  19162, 
/* msg =   7590, deg =  6 */    927,   3919,   7838,  12207,  14121,  17728, 
/* msg =   7591, deg =  6 */   5561,   7255,   7791,  12004,  16147,  16320, 
/* msg =   7592, deg =  6 */   2494,   5263,   5418,  11178,  11901,  16965, 
/* msg =   7593, deg =  6 */    499,   2131,   3058,  11832,  17250,  18383, 
/* msg =   7594, deg =  6 */   1876,   4884,   6269,  13580,  16082,  19264, 
/* msg =   7595, deg =  6 */   2490,   4895,   5386,  11324,  13635,  19361, 
/* msg =   7596, deg =  6 */   2023,   4785,   9575,  10858,  13909,  18707, 
/* msg =   7597, deg =  6 */    461,   5993,   8905,  11299,  14383,  14695, 
/* msg =   7598, deg =  6 */    760,   2904,   3681,  10498,  13841,  17808, 
/* msg =   7599, deg =  6 */    130,   6938,   9778,  10390,  11960,  14712, 
/* msg =   7600, deg =  6 */    666,   1473,   3033,  11437,  13843,  15553, 
/* msg =   7601, deg =  6 */   3915,   8049,   8962,  12697,  14782,  18926, 
/* msg =   7602, deg =  6 */   4541,   4594,   8966,  14360,  18126,  18192, 
/* msg =   7603, deg =  6 */    166,   1482,   6129,  11310,  14700,  16769, 
/* msg =   7604, deg =  6 */   8972,   9490,   9751,  16346,  18991,  19455, 
/* msg =   7605, deg =  6 */   2993,   3823,   5127,  13385,  16848,  18641, 
/* msg =   7606, deg =  6 */   1257,   2451,   8175,  12887,  16105,  18454, 
/* msg =   7607, deg =  6 */   7186,   8385,   9621,  10286,  14050,  18031, 
/* msg =   7608, deg =  6 */   3304,   7376,   9633,  13232,  13976,  17350, 
/* msg =   7609, deg =  6 */    855,   4158,   9716,  10157,  12652,  16858, 
/* msg =   7610, deg =  6 */   2361,   3217,   6114,  10439,  10897,  18987, 
/* msg =   7611, deg =  6 */   1009,   3554,   9758,  10520,  11828,  16640, 
/* msg =   7612, deg =  6 */   3209,   8805,   9392,  12025,  14115,  17802, 
/* msg =   7613, deg =  6 */   2406,   8764,   9635,  12309,  12717,  19083, 
/* msg =   7614, deg =  6 */   1265,   2631,   5290,  15649,  16797,  19673, 
/* msg =   7615, deg =  6 */    140,   4303,   5848,  10408,  13235,  19368, 
/* msg =   7616, deg =  6 */   5801,   7697,   9922,  10190,  11797,  19922, 
/* msg =   7617, deg =  6 */   1860,   2377,   4826,  12628,  12791,  16269, 
/* msg =   7618, deg =  6 */   1124,   4036,   7867,  14600,  17186,  18293, 
/* msg =   7619, deg =  6 */   3284,   4497,   4884,  10392,  11865,  12892, 
/* msg =   7620, deg =  6 */   1077,   4087,   4473,  11508,  17477,  17524, 
/* msg =   7621, deg =  6 */   2896,   3607,   3869,  10055,  11448,  13515, 
/* msg =   7622, deg =  6 */   1769,   4569,   8665,  12297,  13415,  16483, 
/* msg =   7623, deg =  6 */   2716,   4119,   6368,  10453,  16053,  17753, 
/* msg =   7624, deg =  6 */   3632,   8031,   9413,  10537,  17558,  18551, 
/* msg =   7625, deg =  6 */   4227,   6563,   9995,  14392,  15647,  17301, 
/* msg =   7626, deg =  6 */   1235,   1556,   5667,  11098,  16964,  17802, 
/* msg =   7627, deg =  6 */   2224,   2230,   9147,  14913,  19532,  19968, 
/* msg =   7628, deg =  6 */    457,   1325,   4910,  13478,  15120,  18035, 
/* msg =   7629, deg =  6 */   4071,   7514,   9172,  14075,  14994,  15866, 
/* msg =   7630, deg =  6 */    474,   7687,   8312,  10080,  12090,  12917, 
/* msg =   7631, deg =  6 */   1319,   8159,   8826,  11572,  12430,  13438, 
/* msg =   7632, deg =  6 */   5772,   7783,   8374,  16169,  16883,  18936, 
/* msg =   7633, deg =  6 */   1251,   2764,   5042,  12391,  15451,  16977, 
/* msg =   7634, deg =  6 */   1419,   3552,   5244,  13063,  16538,  19166, 
/* msg =   7635, deg =  6 */   6714,   9209,   9522,  15120,  18012,  19726, 
/* msg =   7636, deg =  6 */    107,   2970,   5739,  17309,  18684,  19332, 
/* msg =   7637, deg =  6 */   3560,   9672,   9791,  11398,  11613,  14153, 
/* msg =   7638, deg =  6 */    412,   4854,   7356,  11591,  16673,  17244, 
/* msg =   7639, deg =  6 */   3842,   9580,   9625,  10044,  12489,  14158, 
/* msg =   7640, deg =  6 */    628,   1710,   3367,  10823,  13728,  15727, 
/* msg =   7641, deg =  6 */   4347,   7792,   8210,  11350,  13953,  19686, 
/* msg =   7642, deg =  6 */   4025,   4748,   7427,  13418,  18204,  18360, 
/* msg =   7643, deg =  6 */   5021,   6458,   9879,  12661,  12988,  17425, 
/* msg =   7644, deg =  6 */    524,   8138,   8193,  12963,  16207,  17583, 
/* msg =   7645, deg =  6 */      2,   4747,   7724,  12914,  13823,  19982, 
/* msg =   7646, deg =  6 */   1281,   2862,   8326,  10019,  13299,  13961, 
/* msg =   7647, deg =  6 */   4340,   6811,   8893,  11673,  14027,  19795, 
/* msg =   7648, deg =  6 */   5478,   6392,   9186,  10300,  15849,  17814, 
/* msg =   7649, deg =  6 */    110,   1042,   9835,  12351,  15546,  16457, 
/* msg =   7650, deg =  6 */   1344,   4492,   5587,  12006,  12106,  16070, 
/* msg =   7651, deg =  6 */   3445,   6456,   9245,  11860,  12704,  18561, 
/* msg =   7652, deg =  6 */    540,   5142,   7112,  13792,  18943,  19094, 
/* msg =   7653, deg =  6 */   2115,   6478,   9786,  13443,  18233,  19572, 
/* msg =   7654, deg =  6 */   1825,   6228,   6349,  12452,  16000,  18481, 
/* msg =   7655, deg =  6 */    634,   4625,   6298,  11510,  15296,  19199, 
/* msg =   7656, deg =  6 */    302,   3543,   7900,  11574,  17320,  18296, 
/* msg =   7657, deg =  6 */    398,   1823,   6512,  10550,  16672,  19148, 
/* msg =   7658, deg =  6 */    119,   2298,   7994,  10072,  13623,  18809, 
/* msg =   7659, deg =  6 */    182,   3919,   4536,  11162,  17199,  17460, 
/* msg =   7660, deg =  6 */    231,   3233,   7345,  10766,  11816,  13605, 
/* msg =   7661, deg =  6 */    115,   2858,   6830,  12407,  14607,  18509, 
/* msg =   7662, deg =  6 */   3908,   8939,   9100,  13065,  15918,  18963, 
/* msg =   7663, deg =  6 */   1581,   1919,   3580,  13994,  16798,  18127, 
/* msg =   7664, deg =  6 */   4663,   5822,   5919,  11006,  11314,  12033, 
/* msg =   7665, deg =  6 */   4806,   5242,   8482,  13752,  16277,  17526, 
/* msg =   7666, deg =  6 */    150,    388,   5287,  14527,  15246,  19725, 
/* msg =   7667, deg =  6 */    317,   1574,   3568,  12431,  17123,  18758, 
/* msg =   7668, deg =  6 */   1102,   4567,   4570,  16888,  17245,  17424, 
/* msg =   7669, deg =  6 */   2568,   6051,   9195,  10387,  12289,  17588, 
/* msg =   7670, deg =  6 */   1928,   6210,   9823,  11852,  11997,  18783, 
/* msg =   7671, deg =  6 */    329,   4949,   7516,  14395,  18405,  19530, 
/* msg =   7672, deg =  6 */    346,   4997,   8638,  10241,  14345,  18404, 
/* msg =   7673, deg =  6 */   3185,   6861,   9619,  10260,  13500,  15058, 
/* msg =   7674, deg =  6 */   2369,   4831,   7460,  15083,  15949,  16485, 
/* msg =   7675, deg =  6 */   2082,   5588,   8177,  13524,  16761,  17302, 
/* msg =   7676, deg =  6 */     22,   3180,   5472,  10667,  12384,  16343, 
/* msg =   7677, deg =  6 */   3983,   4515,   4959,  11776,  13813,  15230, 
/* msg =   7678, deg =  6 */    255,    738,   8606,  10133,  16540,  17884, 
/* msg =   7679, deg =  6 */   5945,   6424,   6774,  11477,  16322,  16594, 
/* msg =   7680, deg =  6 */   1554,   4588,   5447,  11248,  12258,  19542, 
/* msg =   7681, deg =  6 */    111,   4893,   7558,  16554,  17021,  18559, 
/* msg =   7682, deg =  6 */   5389,   7122,   8387,  13489,  17481,  19606, 
/* msg =   7683, deg =  6 */   1793,   3340,   3819,  11959,  13046,  18833, 
/* msg =   7684, deg =  6 */     84,    605,   6512,  12907,  13403,  17565, 
/* msg =   7685, deg =  6 */   4422,   7615,   7679,  11903,  12595,  14748, 
/* msg =   7686, deg =  6 */   7784,   8558,   8903,  15074,  19869,  19975, 
/* msg =   7687, deg =  6 */   1473,   6497,   8554,  12267,  15635,  16028, 
/* msg =   7688, deg =  6 */    276,   1307,   9122,  11419,  13887,  17211, 
/* msg =   7689, deg =  6 */   4309,   5661,   8248,  15952,  18697,  18852, 
/* msg =   7690, deg =  6 */   5005,   6069,   7492,  11090,  12214,  14324, 
/* msg =   7691, deg =  6 */   2638,   5929,   7962,  12616,  17043,  19401, 
/* msg =   7692, deg =  6 */   1393,   1514,   7284,  10070,  10276,  11040, 
/* msg =   7693, deg =  6 */   7239,   8502,   9642,  11416,  11872,  19584, 
/* msg =   7694, deg =  6 */   6132,   8172,   9093,  12407,  12947,  18250, 
/* msg =   7695, deg =  6 */   5514,   8597,   9297,  10025,  11554,  16128, 
/* msg =   7696, deg =  6 */   1157,   1422,   5883,  12354,  14385,  17240, 
/* msg =   7697, deg =  6 */   1786,   5827,   6526,  11695,  14178,  19730, 
/* msg =   7698, deg =  6 */   1649,   4846,   4887,  12641,  13431,  17661, 
/* msg =   7699, deg =  6 */   2461,   4502,   8605,  17390,  19268,  19619, 
/* msg =   7700, deg =  6 */    134,   7185,   9908,  12977,  14046,  18086, 
/* msg =   7701, deg =  6 */   2819,   3738,   7663,  10197,  14187,  17930, 
/* msg =   7702, deg =  6 */   3432,   6541,   9573,  12289,  18156,  19124, 
/* msg =   7703, deg =  6 */   2871,   7464,   8376,  10823,  15220,  15471, 
/* msg =   7704, deg =  6 */    138,   4258,   5002,  12437,  15245,  17733, 
/* msg =   7705, deg =  6 */   2935,   6017,   7415,  10584,  12732,  15419, 
/* msg =   7706, deg =  6 */   3144,   3413,   9884,  15709,  15763,  19382, 
/* msg =   7707, deg =  6 */   4830,   6638,   7546,  10819,  13308,  19424, 
/* msg =   7708, deg =  6 */    857,   1791,   9985,  11563,  12508,  17317, 
/* msg =   7709, deg =  6 */   1481,   6659,   7476,  13283,  15914,  17133, 
/* msg =   7710, deg =  6 */   7081,   9642,   9932,  15627,  17294,  18338, 
/* msg =   7711, deg =  6 */   5527,   9297,   9503,  10609,  11365,  17385, 
/* msg =   7712, deg =  6 */   2092,   4325,   9557,  11423,  13697,  14664, 
/* msg =   7713, deg =  6 */   2345,   6698,   8546,  11439,  18225,  19300, 
/* msg =   7714, deg =  6 */   1311,   9451,   9790,  11255,  11729,  14235, 
/* msg =   7715, deg =  6 */   2223,   3234,   7987,  12319,  14039,  15620, 
/* msg =   7716, deg =  6 */   1935,   4055,   9254,  10934,  18555,  19485, 
/* msg =   7717, deg =  6 */   2035,   2172,   8313,  11897,  12679,  14972, 
/* msg =   7718, deg =  6 */   5751,   6763,   7680,  14534,  18269,  19232, 
/* msg =   7719, deg =  6 */   7107,   9008,   9465,  12055,  12074,  12244, 
/* msg =   7720, deg =  6 */   1428,   5557,   7359,  17057,  17666,  19849, 
/* msg =   7721, deg =  6 */   5559,   7075,   7674,  10393,  10624,  17743, 
/* msg =   7722, deg =  6 */    535,   1658,   3370,  11896,  13062,  19995, 
/* msg =   7723, deg =  6 */   2149,   3461,   7024,  10950,  13267,  18350, 
/* msg =   7724, deg =  6 */   2176,   8026,   9902,  13680,  16327,  16962, 
/* msg =   7725, deg =  6 */   4932,   6745,   7357,  11101,  14437,  16193, 
/* msg =   7726, deg =  6 */   1046,   7383,   8731,  11114,  13273,  19317, 
/* msg =   7727, deg =  6 */   6605,   7896,   8856,  13929,  16004,  16980, 
/* msg =   7728, deg =  6 */   5330,   5942,   6582,  12125,  12260,  14211, 
/* msg =   7729, deg =  6 */   1392,   3121,   7652,  17562,  18765,  19623, 
/* msg =   7730, deg =  6 */   4429,   7150,   8478,  10491,  10779,  17308, 
/* msg =   7731, deg =  6 */   1164,   4483,   6079,  11831,  15234,  17576, 
/* msg =   7732, deg =  6 */    865,   9275,   9640,  12387,  12758,  19615, 
/* msg =   7733, deg =  6 */    208,   3900,   9820,  16334,  16690,  19048, 
/* msg =   7734, deg =  6 */   4594,   4882,   8317,  10604,  11808,  14906, 
/* msg =   7735, deg =  6 */   1216,   3735,   4069,  10956,  15011,  18114, 
/* msg =   7736, deg =  6 */    460,   4641,   4672,  10741,  14268,  17467, 
/* msg =   7737, deg =  6 */   6901,   7863,   8457,  11234,  15079,  17685, 
/* msg =   7738, deg =  6 */   2967,   6949,   8097,  11116,  12515,  17843, 
/* msg =   7739, deg =  6 */    821,   6252,   6792,  10723,  17434,  18600, 
/* msg =   7740, deg =  6 */    689,   4755,   9334,  10313,  15404,  17056, 
/* msg =   7741, deg =  6 */   2921,   7719,   8414,  10232,  12923,  18212, 
/* msg =   7742, deg =  6 */   5664,   9209,   9395,  10081,  10991,  18093, 
/* msg =   7743, deg =  6 */   4628,   6381,   9868,  12245,  13633,  13640, 
/* msg =   7744, deg =  6 */   4663,   6182,   7801,  10282,  14673,  16906, 
/* msg =   7745, deg =  6 */   2146,   4364,   4783,  15111,  17358,  17869, 
/* msg =   7746, deg =  6 */   4043,   6339,   8105,  12689,  15980,  18751, 
/* msg =   7747, deg =  6 */     13,   1800,   8881,  10458,  14326,  17740, 
/* msg =   7748, deg =  6 */   9076,   9669,   9839,  15023,  16026,  19922, 
/* msg =   7749, deg =  6 */   1566,   8685,   9291,  10054,  10737,  19468, 
/* msg =   7750, deg =  6 */   2629,   7705,   8716,  14694,  16302,  17983, 
/* msg =   7751, deg =  6 */   1450,   5226,   6165,  10764,  14730,  18161, 
/* msg =   7752, deg =  6 */    129,   2807,   2841,  10615,  11060,  17750, 
/* msg =   7753, deg =  6 */   3057,   5032,   7170,  11077,  13487,  15288, 
/* msg =   7754, deg =  6 */   2998,   4698,   8388,  10019,  13318,  19423, 
/* msg =   7755, deg =  6 */   7996,   9577,   9963,  12787,  18649,  19741, 
/* msg =   7756, deg =  6 */   2395,   3629,   8144,  16210,  16525,  17766, 
/* msg =   7757, deg =  6 */   4904,   7864,   8040,  10391,  14725,  17119, 
/* msg =   7758, deg =  6 */   1350,   5546,   8541,  11583,  12747,  13048, 
/* msg =   7759, deg =  6 */   1443,   4469,   7236,  12992,  19181,  19731, 
/* msg =   7760, deg =  6 */   6592,   8838,   8884,  11799,  14130,  16477, 
/* msg =   7761, deg =  6 */    447,   5598,   6489,  12311,  14747,  19337, 
/* msg =   7762, deg =  6 */   6236,   6522,   8316,  10675,  16253,  18103, 
/* msg =   7763, deg =  6 */    143,   5987,   8256,  10099,  10204,  14337, 
/* msg =   7764, deg =  6 */   8124,   8487,   8916,  12419,  18080,  19925, 
/* msg =   7765, deg =  6 */   4604,   6346,   9256,  11846,  14596,  19360, 
/* msg =   7766, deg =  6 */    408,   4480,   7423,  13209,  14137,  17795, 
/* msg =   7767, deg =  6 */   8266,   8874,   8902,  13329,  14873,  18637, 
/* msg =   7768, deg =  6 */   5631,   6952,   8997,  10781,  18044,  19618, 
/* msg =   7769, deg =  6 */   5176,   5910,   6579,  12426,  12743,  18939, 
/* msg =   7770, deg =  6 */    635,   5388,   5641,  11716,  15459,  17331, 
/* msg =   7771, deg =  6 */   6129,   7521,   9308,  10735,  12305,  17330, 
/* msg =   7772, deg =  6 */   2101,   2196,   6541,  11802,  13248,  17241, 
/* msg =   7773, deg =  6 */     71,    335,   5303,  10826,  14783,  17681, 
/* msg =   7774, deg =  6 */   4132,   8523,   9774,  11520,  12531,  17141, 
/* msg =   7775, deg =  6 */   3502,   5413,   9821,  11249,  12532,  16722, 
/* msg =   7776, deg =  6 */   1985,   7952,   9884,  10093,  10414,  16139, 
/* msg =   7777, deg =  6 */   7324,   7563,   8367,  10468,  14367,  18158, 
/* msg =   7778, deg =  6 */   4720,   4908,   7366,  10991,  19538,  19787, 
/* msg =   7779, deg =  6 */   4000,   4815,   5738,  11051,  14012,  16226, 
/* msg =   7780, deg =  6 */   3732,   7740,   8274,  11268,  15083,  18172, 
/* msg =   7781, deg =  6 */   4193,   6045,   6888,  10889,  16793,  18101, 
/* msg =   7782, deg =  6 */   3091,   4713,   5091,  12771,  13156,  13613, 
/* msg =   7783, deg =  6 */   1493,   8463,   9521,  12580,  13278,  19580, 
/* msg =   7784, deg =  6 */   2780,   6012,   6306,  12065,  15790,  16992, 
/* msg =   7785, deg =  6 */   3923,   5572,   8070,  10433,  11715,  16555, 
/* msg =   7786, deg =  6 */    566,    754,   2703,  11462,  13558,  16720, 
/* msg =   7787, deg =  6 */   6262,   8399,   8747,  11925,  14280,  15308, 
/* msg =   7788, deg =  6 */   4332,   5494,   8242,  11453,  14374,  16953, 
/* msg =   7789, deg =  6 */   2235,   3473,   6612,  13121,  15925,  18262, 
/* msg =   7790, deg =  6 */   1839,   5576,   9893,  13344,  14509,  19600, 
/* msg =   7791, deg =  6 */   1497,   1891,   6625,  10896,  16027,  18386, 
/* msg =   7792, deg =  6 */    548,   1143,   9866,  12480,  15945,  17777, 
/* msg =   7793, deg =  6 */   4981,   8809,   8968,  13536,  15904,  16079, 
/* msg =   7794, deg =  6 */    352,   4131,   5404,  11745,  12206,  13553, 
/* msg =   7795, deg =  6 */   4260,   6869,   7024,  13253,  18294,  19329, 
/* msg =   7796, deg =  6 */    489,   5608,   5728,  13205,  13481,  14192, 
/* msg =   7797, deg =  6 */   2765,   9299,   9892,  11355,  11816,  17640, 
/* msg =   7798, deg =  6 */   3116,   9429,   9782,  13689,  15229,  19026, 
/* msg =   7799, deg =  6 */    151,   2979,   8127,  12107,  14496,  16927, 
/* msg =   7800, deg =  6 */   5519,   7841,   8360,  13457,  15396,  16361, 
/* msg =   7801, deg =  6 */   2890,   4965,   8522,  13945,  15206,  18320, 
/* msg =   7802, deg =  6 */   5410,   6950,   7802,  11486,  17410,  19250, 
/* msg =   7803, deg =  6 */   1390,   3101,   5596,  10569,  11585,  13131, 
/* msg =   7804, deg =  6 */   4051,   6984,   7541,  15364,  16562,  18053, 
/* msg =   7805, deg =  6 */   1863,   8819,   9562,  11666,  12449,  13458, 
/* msg =   7806, deg =  6 */   7276,   8264,   8836,  16252,  18082,  19324, 
/* msg =   7807, deg =  6 */   2106,   4481,   6135,  11924,  13834,  16600, 
/* msg =   7808, deg =  6 */    429,   6831,   7689,  10608,  15204,  17598, 
/* msg =   7809, deg =  6 */   8611,   9165,   9701,  10787,  16719,  19775, 
/* msg =   7810, deg =  6 */   1494,   2601,   3799,  11193,  12368,  19824, 
/* msg =   7811, deg =  6 */   2822,   3993,   9753,  13760,  14161,  17092, 
/* msg =   7812, deg =  6 */   1097,   1671,   5266,  13982,  15280,  18533, 
/* msg =   7813, deg =  6 */   1596,   4981,   9997,  16694,  17784,  18070, 
/* msg =   7814, deg =  6 */   2813,   4945,   7158,  10683,  12122,  15369, 
/* msg =   7815, deg =  6 */   2815,   8153,   8483,  13419,  15463,  17081, 
/* msg =   7816, deg =  6 */   3329,   6612,   6861,  10938,  11487,  17439, 
/* msg =   7817, deg =  6 */   5393,   6329,   6580,  11119,  14467,  15332, 
/* msg =   7818, deg =  6 */   2683,   9224,   9558,  11736,  13100,  16536, 
/* msg =   7819, deg =  6 */   4289,   6927,   7153,  10590,  11080,  17851, 
/* msg =   7820, deg =  6 */   5164,   6914,   9000,  13780,  17438,  18251, 
/* msg =   7821, deg =  6 */   2310,   2513,   5451,  11244,  12336,  17268, 
/* msg =   7822, deg =  6 */   2260,   2398,   7667,  10661,  11718,  15873, 
/* msg =   7823, deg =  6 */    497,   6425,   7733,  10624,  12025,  12533, 
/* msg =   7824, deg =  6 */   4715,   9493,   9912,  13829,  14783,  16831, 
/* msg =   7825, deg =  6 */   2231,   6091,   9533,  12851,  13340,  14546, 
/* msg =   7826, deg =  6 */   5385,   7293,   7647,  12210,  15339,  19773, 
/* msg =   7827, deg =  6 */   6770,   9065,   9310,  12646,  17780,  18446, 
/* msg =   7828, deg =  6 */   3747,   8180,   8283,  11558,  13639,  17142, 
/* msg =   7829, deg =  6 */    220,   5855,   7608,  11939,  16476,  19118, 
/* msg =   7830, deg =  6 */   1105,   5523,   5980,  10254,  14782,  17578, 
/* msg =   7831, deg =  6 */   1504,   6491,   8603,  10117,  10171,  16592, 
/* msg =   7832, deg =  6 */   4764,   5582,   6641,  10348,  13383,  15581, 
/* msg =   7833, deg =  6 */   5622,   7950,   9369,  12619,  15738,  18141, 
/* msg =   7834, deg =  6 */   3986,   5931,   8451,  15485,  17269,  19137, 
/* msg =   7835, deg =  6 */    847,   3264,   9040,  13321,  15188,  18113, 
/* msg =   7836, deg =  6 */   3094,   7543,   9935,  13511,  14054,  17168, 
/* msg =   7837, deg =  6 */    536,   2169,   5414,  11050,  11332,  13960, 
/* msg =   7838, deg =  6 */   2534,   9602,   9860,  17129,  17277,  19798, 
/* msg =   7839, deg =  6 */    706,   3660,   8885,  11578,  13580,  18157, 
/* msg =   7840, deg =  6 */   2432,   2542,   4395,  12208,  12804,  16576, 
/* msg =   7841, deg =  6 */   2088,   6063,   7007,  10773,  14913,  17062, 
/* msg =   7842, deg =  6 */    227,   4572,   4777,  11362,  17722,  19113, 
/* msg =   7843, deg =  6 */    130,    581,   6726,  11927,  12771,  18339, 
/* msg =   7844, deg =  6 */   1371,   4297,   9904,  12460,  16363,  17176, 
/* msg =   7845, deg =  6 */   1623,   6331,   7073,  13509,  13797,  15979, 
/* msg =   7846, deg =  6 */   1855,   5037,   7052,  11154,  14057,  18916, 
/* msg =   7847, deg =  6 */    109,   6031,   8424,  10491,  16774,  17623, 
/* msg =   7848, deg =  6 */   1875,   3956,   6451,  12500,  14239,  14757, 
/* msg =   7849, deg =  6 */    879,   2086,   9963,  10475,  12529,  19592, 
/* msg =   7850, deg =  6 */    282,   2870,   4165,  17111,  17754,  19032, 
/* msg =   7851, deg =  6 */   1545,   5030,   6383,  11222,  13907,  19479, 
/* msg =   7852, deg =  6 */    770,   4908,   5347,  11776,  18122,  19892, 
/* msg =   7853, deg =  6 */    109,    630,   4685,  15536,  18292,  19748, 
/* msg =   7854, deg =  6 */   1271,   3724,   4358,  11475,  13154,  14997, 
/* msg =   7855, deg =  6 */   2889,   4332,   9055,  14071,  16292,  18107, 
/* msg =   7856, deg =  6 */   4806,   5171,   7476,  10033,  11652,  14119, 
/* msg =   7857, deg =  6 */   3338,   3898,   7649,  10719,  12669,  19251, 
/* msg =   7858, deg =  6 */   1541,   1586,   2638,  13504,  14929,  16414, 
/* msg =   7859, deg =  6 */   3074,   4684,   6094,  14560,  16485,  18389, 
/* msg =   7860, deg =  6 */   2882,   2949,   5900,  12856,  15325,  18541, 
/* msg =   7861, deg =  6 */    646,   3004,   5820,  11486,  12498,  15661, 
/* msg =   7862, deg =  6 */   2956,   4960,   7107,  12137,  14475,  18208, 
/* msg =   7863, deg =  6 */   2395,   3510,   4310,  12821,  14008,  15216, 
/* msg =   7864, deg =  6 */   1276,   1478,   6461,  13729,  15113,  15750, 
/* msg =   7865, deg =  6 */   2114,   4163,   8005,  14209,  16894,  17921, 
/* msg =   7866, deg =  6 */   3994,   4502,   9023,  12912,  13460,  17892, 
/* msg =   7867, deg =  6 */    559,   2642,   9182,  10378,  14051,  15322, 
/* msg =   7868, deg =  6 */   4478,   6760,   8542,  11353,  12874,  19286, 
/* msg =   7869, deg =  6 */    921,   5373,   5894,  12408,  14056,  17360, 
/* msg =   7870, deg =  6 */   5648,   6436,   8242,  10039,  13827,  19726, 
/* msg =   7871, deg =  6 */   2659,   6414,   6876,  12184,  16517,  17220, 
/* msg =   7872, deg =  6 */   2702,   4230,   8796,  14095,  16806,  17333, 
/* msg =   7873, deg =  6 */   3601,   4306,   8427,  10311,  11946,  11969, 
/* msg =   7874, deg =  6 */   7922,   8097,   8777,  11018,  14801,  19354, 
/* msg =   7875, deg =  6 */   1812,   2030,   5758,  10963,  14419,  16440, 
/* msg =   7876, deg =  6 */   2281,   7614,   8602,  11675,  11767,  16175, 
/* msg =   7877, deg =  6 */    489,   3564,   7937,  10655,  11770,  12115, 
/* msg =   7878, deg =  6 */   2157,   4200,   7856,  10306,  13607,  18345, 
/* msg =   7879, deg =  6 */    599,   3629,   6392,  12069,  17398,  19402, 
/* msg =   7880, deg =  6 */    961,   5652,   8737,  11457,  14307,  14781, 
/* msg =   7881, deg =  6 */   2288,   3829,   9556,  18158,  18345,  19078, 
/* msg =   7882, deg =  6 */   7427,   9268,   9990,  11864,  19063,  19831, 
/* msg =   7883, deg =  6 */     89,   6277,   9403,  11129,  12978,  19944, 
/* msg =   7884, deg =  6 */   1727,   4005,   9165,  11847,  12704,  16961, 
/* msg =   7885, deg =  6 */   4146,   4856,   6525,  11296,  13475,  17270, 
/* msg =   7886, deg =  6 */   2488,   4138,   8992,  12463,  13138,  16283, 
/* msg =   7887, deg =  6 */   1525,   3523,   5112,  13287,  14477,  19096, 
/* msg =   7888, deg =  6 */   2476,   6070,   6752,  13944,  17791,  17856, 
/* msg =   7889, deg =  6 */   2238,   2283,   9162,  12717,  13366,  14708, 
/* msg =   7890, deg =  6 */   1633,   5188,   9769,  11183,  12519,  19841, 
/* msg =   7891, deg =  6 */    531,   7146,   7481,  10391,  13339,  19118, 
/* msg =   7892, deg =  6 */   8169,   8309,   9141,  10266,  10371,  17177, 
/* msg =   7893, deg =  6 */   1190,   5991,   7007,  10628,  11278,  17819, 
/* msg =   7894, deg =  6 */   6990,   7682,   8251,  14374,  16537,  19306, 
/* msg =   7895, deg =  6 */   1643,   2497,   3010,  16041,  18654,  19611, 
/* msg =   7896, deg =  6 */    337,   8807,   9440,  10778,  17965,  18865, 
/* msg =   7897, deg =  6 */    827,   4011,   6434,  10889,  13543,  15026, 
/* msg =   7898, deg =  6 */   6321,   9034,   9376,  12934,  14008,  19740, 
/* msg =   7899, deg =  6 */   4054,   8396,   9166,  12889,  14516,  19481, 
/* msg =   7900, deg =  6 */   7077,   9354,   9772,  11589,  16125,  19150, 
/* msg =   7901, deg =  6 */   2065,   4226,   6123,  11402,  12789,  16511, 
/* msg =   7902, deg =  6 */   5059,   7007,   9044,  13227,  17714,  19940, 
/* msg =   7903, deg =  6 */   2219,   3214,   3465,  10636,  15050,  19495, 
/* msg =   7904, deg =  6 */    621,   4049,   7251,  10785,  18320,  18334, 
/* msg =   7905, deg =  6 */   6843,   6850,   8376,  11327,  13140,  15279, 
/* msg =   7906, deg =  6 */    616,   3647,   8588,  11639,  12469,  13695, 
/* msg =   7907, deg =  6 */    366,   1193,   6338,  11585,  16888,  16939, 
/* msg =   7908, deg =  6 */   3067,   5720,   9780,  10418,  11391,  18488, 
/* msg =   7909, deg =  6 */   3225,   4265,   8867,  11857,  11999,  18785, 
/* msg =   7910, deg =  6 */   5335,   8035,   9794,  13731,  17317,  18857, 
/* msg =   7911, deg =  6 */   2880,   6921,   9336,  10551,  17501,  17634, 
/* msg =   7912, deg =  6 */    523,   6248,   6707,  12758,  16414,  17489, 
/* msg =   7913, deg =  6 */   6189,   7252,   9027,  10496,  15065,  19767, 
/* msg =   7914, deg =  6 */    922,   7182,   9631,  17632,  18347,  19297, 
/* msg =   7915, deg =  6 */   1830,   2236,   7400,  14781,  15292,  17680, 
/* msg =   7916, deg =  6 */   3461,   3731,   4361,  10087,  10566,  19956, 
/* msg =   7917, deg =  6 */   5933,   8158,   8706,  12783,  13010,  17465, 
/* msg =   7918, deg =  6 */    863,   6039,   6500,  10243,  12742,  17575, 
/* msg =   7919, deg =  6 */   2692,   6261,   9526,  12792,  14478,  17442, 
/* msg =   7920, deg =  6 */    944,   2586,   4798,  13873,  18067,  19000, 
/* msg =   7921, deg =  6 */   3697,   5232,   5935,  10756,  11060,  13021, 
/* msg =   7922, deg =  6 */   4485,   5216,   9029,  12396,  16019,  19677, 
/* msg =   7923, deg =  6 */   4251,   4939,   8426,  10290,  12053,  16709, 
/* msg =   7924, deg =  6 */    207,   3035,   8811,  12100,  15009,  18134, 
/* msg =   7925, deg =  6 */   3082,   4270,   4616,  14171,  18191,  18389, 
/* msg =   7926, deg =  6 */   4988,   6437,   8642,  11273,  14087,  17942, 
/* msg =   7927, deg =  6 */   1031,   4356,   5189,  12910,  18217,  19526, 
/* msg =   7928, deg =  6 */   5327,   8397,   9220,  10877,  14890,  16505, 
/* msg =   7929, deg =  6 */   1756,   3977,   6317,  12656,  12975,  18533, 
/* msg =   7930, deg =  6 */   2626,   5308,   9170,  10889,  12593,  15843, 
/* msg =   7931, deg =  6 */     69,   7240,   9359,  16807,  16964,  19870, 
/* msg =   7932, deg =  6 */   1748,   2396,   2868,  16438,  18422,  19303, 
/* msg =   7933, deg =  6 */   1737,   2278,   8976,  14885,  18700,  19878, 
/* msg =   7934, deg =  6 */   1557,   3594,   4023,  12694,  17525,  18108, 
/* msg =   7935, deg =  6 */   2581,   3631,   7616,  14893,  16568,  17162, 
/* msg =   7936, deg =  6 */    446,   4058,   4785,  11773,  18231,  18242, 
/* msg =   7937, deg =  6 */    733,   1680,   6404,  11893,  13878,  17915, 
/* msg =   7938, deg =  6 */   1892,   7056,   8996,  10548,  14996,  16048, 
/* msg =   7939, deg =  6 */   5311,   8430,   9156,  13417,  13996,  14020, 
/* msg =   7940, deg =  6 */   1578,   3195,   7673,  12248,  13579,  16455, 
/* msg =   7941, deg =  6 */   6262,   7726,   9913,  10436,  13827,  16601, 
/* msg =   7942, deg =  6 */    305,    886,   3626,  12857,  13412,  14841, 
/* msg =   7943, deg =  6 */   2941,   4439,   6780,  13012,  16896,  19566, 
/* msg =   7944, deg =  6 */     48,   2229,   5654,  10163,  14037,  16862, 
/* msg =   7945, deg =  6 */    681,   3430,   7115,  11197,  14411,  18928, 
/* msg =   7946, deg =  6 */    169,   6648,   7733,  15336,  16686,  18730, 
/* msg =   7947, deg =  6 */    583,   4807,   7483,  11192,  11657,  12749, 
/* msg =   7948, deg =  6 */   2577,   3868,   5129,  10730,  11514,  15598, 
/* msg =   7949, deg =  6 */   1711,   3487,   8860,  11313,  15741,  19812, 
/* msg =   7950, deg =  6 */   4686,   6522,   8696,  12070,  13731,  19169, 
/* msg =   7951, deg =  6 */    416,   8440,   8528,  16918,  18380,  18629, 
/* msg =   7952, deg =  6 */     29,    823,   6705,  13552,  14164,  18598, 
/* msg =   7953, deg =  6 */   1963,   5117,   8927,  14270,  15084,  15911, 
/* msg =   7954, deg =  6 */    313,   3803,   4841,  12194,  12466,  13027, 
/* msg =   7955, deg =  6 */    550,   5748,   8009,  18837,  19373,  19804, 
/* msg =   7956, deg =  6 */   2816,   7296,   8922,  11588,  18865,  19010, 
/* msg =   7957, deg =  6 */   7735,   9174,   9941,  11767,  14956,  18968, 
/* msg =   7958, deg =  6 */   5269,   6252,   8557,  10930,  11144,  11347, 
/* msg =   7959, deg =  6 */   1585,   5058,   8975,  13142,  13788,  15495, 
/* msg =   7960, deg =  6 */    875,   6995,   8534,  14831,  15265,  19480, 
/* msg =   7961, deg =  6 */   3016,   4943,   7136,  12140,  13748,  19033, 
/* msg =   7962, deg =  6 */    470,   2725,   3040,  15976,  17256,  18268, 
/* msg =   7963, deg =  6 */     94,   1964,   4266,  14012,  15742,  16121, 
/* msg =   7964, deg =  6 */   1168,   2925,   7064,  11617,  15722,  18748, 
/* msg =   7965, deg =  6 */    418,   5852,   5874,  11089,  12690,  17966, 
/* msg =   7966, deg =  6 */   1867,   3436,   3809,  11636,  14132,  16201, 
/* msg =   7967, deg =  6 */   5045,   6032,   9855,  12681,  17290,  17321, 
/* msg =   7968, deg =  6 */   1157,   2969,   5833,  12300,  14113,  15349, 
/* msg =   7969, deg =  6 */   5778,   7923,   9292,  10404,  11697,  17744, 
/* msg =   7970, deg =  6 */   1311,   5011,   8597,  16334,  16427,  18393, 
/* msg =   7971, deg =  6 */   1749,   8852,   9712,  10777,  10862,  17481, 
/* msg =   7972, deg =  6 */   6019,   6520,   9222,  10939,  18042,  19720, 
/* msg =   7973, deg =  6 */   2505,   5540,   6504,  15602,  18585,  19927, 
/* msg =   7974, deg =  6 */   3230,   3233,   6821,  10120,  13607,  18248, 
/* msg =   7975, deg =  6 */    694,   1687,   2484,  13718,  15111,  16815, 
/* msg =   7976, deg =  6 */   4582,   5198,   8227,  12506,  13563,  18161, 
/* msg =   7977, deg =  6 */   2796,   7512,   8446,  12339,  19351,  19944, 
/* msg =   7978, deg =  6 */    167,   5537,   8182,  14396,  14686,  16382, 
/* msg =   7979, deg =  6 */   4077,   5270,   8150,  13125,  16050,  16650, 
/* msg =   7980, deg =  6 */   2569,   5760,   8136,  16372,  18066,  18355, 
/* msg =   7981, deg =  6 */     39,   4337,   9635,  12237,  15289,  19341, 
/* msg =   7982, deg =  6 */    199,   2077,   4318,  14356,  19142,  19844, 
/* msg =   7983, deg =  6 */    775,   1323,   9255,  10647,  17005,  18702, 
/* msg =   7984, deg =  6 */   1363,   3546,   6041,  18771,  19099,  19889, 
/* msg =   7985, deg =  6 */    172,   1972,   4841,  15142,  15429,  16855, 
/* msg =   7986, deg =  6 */    518,   2224,   8940,  13701,  14203,  15802, 
/* msg =   7987, deg =  6 */    594,   3702,   4533,  11363,  14586,  17318, 
/* msg =   7988, deg =  6 */   1505,   3709,   7115,  12776,  18556,  19883, 
/* msg =   7989, deg =  6 */    479,   4771,   9993,  15153,  16609,  19234, 
/* msg =   7990, deg =  6 */   1206,   1282,   8257,  10521,  13805,  17511, 
/* msg =   7991, deg =  6 */   5186,   5547,   7703,  19075,  19636,  19812, 
/* msg =   7992, deg =  6 */   1962,   4195,   4449,  11110,  19414,  19936, 
/* msg =   7993, deg =  6 */   1349,   3863,   4749,  10693,  12215,  14101, 
/* msg =   7994, deg =  6 */   2600,   7911,   9741,  11239,  19437,  19618, 
/* msg =   7995, deg =  6 */   1771,   3024,   8969,  14020,  16455,  19212, 
/* msg =   7996, deg =  6 */   4278,   6099,   6448,  11578,  12048,  17993, 
/* msg =   7997, deg =  6 */   7179,   8072,   9695,  15894,  16263,  17040, 
/* msg =   7998, deg =  6 */    545,   2427,   8137,  14370,  16549,  19850, 
/* msg =   7999, deg =  6 */    418,   7985,   9612,  14259,  19213,  19220, 
/* msg =   8000, deg =  6 */    320,   7896,   8946,  16480,  18856,  19573, 
/* msg =   8001, deg =  6 */    136,   1774,   6038,  11426,  11804,  18933, 
/* msg =   8002, deg =  6 */    307,   5785,   9017,  11538,  11744,  13601, 
/* msg =   8003, deg =  6 */   5013,   8611,   9857,  13712,  16087,  16387, 
/* msg =   8004, deg =  6 */   3059,   3930,   9327,  10010,  14098,  16376, 
/* msg =   8005, deg =  6 */   1782,   2477,   6422,  10660,  14837,  18913, 
/* msg =   8006, deg =  6 */    725,   3630,   9137,  11728,  14645,  19679, 
/* msg =   8007, deg =  6 */   3546,   7831,   8136,  12316,  16033,  18141, 
/* msg =   8008, deg =  6 */    840,   2168,   3141,  14238,  14506,  16397, 
/* msg =   8009, deg =  6 */   5919,   6204,   6313,  12555,  18743,  19687, 
/* msg =   8010, deg =  6 */   1603,   3903,   7744,  13433,  16134,  16611, 
/* msg =   8011, deg =  6 */    238,   7619,   9442,  17149,  19435,  19578, 
/* msg =   8012, deg =  6 */   1694,   3733,   6312,  16133,  16657,  16866, 
/* msg =   8013, deg =  6 */   1461,   3044,   7639,  10642,  15622,  16120, 
/* msg =   8014, deg =  6 */   4417,   7987,   9431,  12417,  14652,  14683, 
/* msg =   8015, deg =  6 */   2959,   3098,   6200,  12842,  13444,  16100, 
/* msg =   8016, deg =  6 */   1383,   2303,   8551,  11353,  11725,  17154, 
/* msg =   8017, deg =  6 */   5650,   6001,   8164,  11637,  12975,  15411, 
/* msg =   8018, deg =  6 */   1894,   2339,   8441,  11925,  12314,  17269, 
/* msg =   8019, deg =  6 */     52,   1573,   8861,  12965,  15650,  18087, 
/* msg =   8020, deg =  6 */   1159,   1208,   2145,  16945,  18205,  18922, 
/* msg =   8021, deg =  6 */   1602,   2361,   2862,  13628,  15454,  17995, 
/* msg =   8022, deg =  6 */   2009,   6193,   6730,  11965,  13380,  18835, 
/* msg =   8023, deg =  6 */   4013,   5386,   5650,  11117,  16061,  17088, 
/* msg =   8024, deg =  6 */   3068,   3924,   8090,  10044,  11969,  14732, 
/* msg =   8025, deg =  6 */   1107,   1765,   4719,  11592,  11807,  13938, 
/* msg =   8026, deg =  6 */    545,   1201,   9001,  13673,  15718,  18517, 
/* msg =   8027, deg =  6 */   2008,   6019,   9041,  18556,  19208,  19280, 
/* msg =   8028, deg =  6 */    401,   3047,   6374,  10790,  13215,  16348, 
/* msg =   8029, deg =  6 */   2957,   3902,   9808,  13006,  14867,  19448, 
/* msg =   8030, deg =  6 */   3311,   5859,   9750,  10881,  15668,  18329, 
/* msg =   8031, deg =  6 */   2367,   4459,   4510,  10261,  16133,  16224, 
/* msg =   8032, deg =  6 */    619,   5204,   7197,  12823,  14846,  18805, 
/* msg =   8033, deg =  6 */    562,   5480,   7942,  10606,  17958,  18174, 
/* msg =   8034, deg =  6 */   3490,   5906,   9895,  15243,  19316,  19846, 
/* msg =   8035, deg =  6 */   1933,   2379,   8274,  15752,  16313,  17816, 
/* msg =   8036, deg =  6 */   2020,   3591,   3605,  13999,  16128,  16669, 
/* msg =   8037, deg =  6 */   4189,   5823,   9292,  13531,  13661,  17863, 
/* msg =   8038, deg =  6 */   6248,   8301,   8626,  12565,  16121,  18046, 
/* msg =   8039, deg =  6 */   1377,   3983,   7103,  12667,  18025,  18995, 
/* msg =   8040, deg =  6 */   1825,   2090,   5770,  13284,  19369,  19403, 
/* msg =   8041, deg =  6 */    339,   1403,   2678,  10296,  11240,  17803, 
/* msg =   8042, deg =  6 */   1217,   5930,   7393,  15437,  15932,  19700, 
/* msg =   8043, deg =  6 */   4844,   8494,   9649,  10811,  12977,  13635, 
/* msg =   8044, deg =  6 */    511,   2115,   4889,  16094,  16290,  19104, 
/* msg =   8045, deg =  6 */    404,   3579,   5808,  11700,  12083,  18501, 
/* msg =   8046, deg =  6 */    623,   7196,   9116,  11284,  16336,  17144, 
/* msg =   8047, deg =  6 */   1411,   2384,   2622,  15981,  17201,  18429, 
/* msg =   8048, deg =  6 */   2653,   5628,   7435,  13711,  16241,  17577, 
/* msg =   8049, deg =  6 */    248,   5327,   8113,  12468,  17288,  19250, 
/* msg =   8050, deg =  6 */   1668,   1675,   6302,  12110,  19222,  19586, 
/* msg =   8051, deg =  6 */   8782,   9158,   9548,  15079,  15136,  18836, 
/* msg =   8052, deg =  6 */   3775,   6103,   8694,  11491,  14430,  14930, 
/* msg =   8053, deg =  6 */     46,   4811,   4881,  12263,  14256,  16349, 
/* msg =   8054, deg =  6 */   1640,   9590,   9999,  12237,  12712,  15663, 
/* msg =   8055, deg =  6 */   2797,   5103,   8954,  13859,  15858,  17048, 
/* msg =   8056, deg =  6 */    598,   1172,   9441,  15607,  19627,  19828, 
/* msg =   8057, deg =  6 */    113,    496,   3907,  10648,  14558,  19486, 
/* msg =   8058, deg =  6 */   2897,   6751,   7429,  12754,  16402,  18922, 
/* msg =   8059, deg =  6 */   1187,   7227,   8851,  10037,  11280,  11358, 
/* msg =   8060, deg =  6 */   1871,   5455,   6960,  15851,  15864,  17087, 
/* msg =   8061, deg =  6 */   2104,   5655,   8378,  12493,  12957,  16890, 
/* msg =   8062, deg =  6 */    712,   3194,   4998,  13138,  16513,  18334, 
/* msg =   8063, deg =  6 */   2337,   2806,   9201,  10467,  16127,  18547, 
/* msg =   8064, deg =  6 */   3320,   8548,   8631,  12478,  18998,  19730, 
/* msg =   8065, deg =  6 */   6853,   7202,   8410,  13505,  13912,  15366, 
/* msg =   8066, deg =  6 */   2303,   4436,   4651,  11626,  18112,  19102, 
/* msg =   8067, deg =  6 */   3363,   6254,   8689,  12528,  14707,  17402, 
/* msg =   8068, deg =  6 */   1805,   7502,   7775,  13825,  15051,  18843, 
/* msg =   8069, deg =  6 */   2790,   2818,   4822,  13077,  17105,  17107, 
/* msg =   8070, deg =  6 */   7397,   9010,   9319,  11863,  13071,  16484, 
/* msg =   8071, deg =  6 */   5872,   8202,   8424,  12354,  13285,  16506, 
/* msg =   8072, deg =  6 */   3438,   6675,   6955,  12056,  16136,  16255, 
/* msg =   8073, deg =  6 */   7371,   9427,   9695,  11254,  13247,  15237, 
/* msg =   8074, deg =  6 */    558,   6483,   7577,  10998,  17389,  18692, 
/* msg =   8075, deg =  6 */    118,   4401,   7815,  12344,  17516,  19807, 
/* msg =   8076, deg =  6 */   5189,   5749,   9201,  10607,  11104,  19743, 
/* msg =   8077, deg =  6 */   1604,   4453,   5775,  17320,  17684,  18028, 
/* msg =   8078, deg =  6 */    427,   6950,   9014,  15433,  15966,  16632, 
/* msg =   8079, deg =  6 */    667,   8990,   9600,  11938,  14733,  17682, 
/* msg =   8080, deg =  6 */   1672,   4680,   5572,  10289,  13653,  17233, 
/* msg =   8081, deg =  6 */   3167,   3891,   8454,  16209,  18286,  18407, 
/* msg =   8082, deg =  6 */    247,   5401,   7834,  11952,  13373,  19096, 
/* msg =   8083, deg =  6 */   5208,   8590,   9494,  11805,  11825,  12476, 
/* msg =   8084, deg =  6 */   1470,   3643,   4509,  10813,  17751,  18278, 
/* msg =   8085, deg =  6 */   2496,   5041,   6637,  11170,  18827,  19960, 
/* msg =   8086, deg =  6 */   1232,   6842,   8687,  13564,  13708,  17175, 
/* msg =   8087, deg =  6 */   7340,   8544,   9489,  15957,  16410,  19255, 
/* msg =   8088, deg =  6 */   5278,   7317,   8192,  12673,  18413,  19993, 
/* msg =   8089, deg =  6 */   2695,   4791,   4827,  11296,  17711,  19920, 
/* msg =   8090, deg =  6 */   2886,   3916,   6789,  10673,  17192,  18653, 
/* msg =   8091, deg =  6 */   2798,   5503,   9069,  15195,  15539,  19680, 
/* msg =   8092, deg =  6 */   1020,   2659,   6126,  11566,  13020,  19278, 
/* msg =   8093, deg =  6 */   1457,   4950,   9345,  15738,  15756,  18978, 
/* msg =   8094, deg =  6 */   3178,   4732,   9319,  11804,  14176,  17521, 
/* msg =   8095, deg =  6 */    867,   3003,   6518,  11176,  14810,  15849, 
/* msg =   8096, deg =  6 */   1047,   3240,   7665,  11214,  12486,  18515, 
/* msg =   8097, deg =  6 */   3877,   6533,   9692,  12003,  14786,  15562, 
/* msg =   8098, deg =  6 */    862,   2515,   4834,  11956,  13292,  13855, 
/* msg =   8099, deg =  6 */   2118,   4987,   6446,  12894,  15946,  19981, 
/* msg =   8100, deg =  6 */   1683,   3805,   5241,  11878,  17717,  19405, 
/* msg =   8101, deg =  6 */   4245,   6212,   6244,  12557,  14931,  15075, 
/* msg =   8102, deg =  6 */   5559,   5988,   9955,  12672,  14813,  16099, 
/* msg =   8103, deg =  6 */    800,    939,   4584,  10190,  10466,  15981, 
/* msg =   8104, deg =  6 */   1090,   8598,   8909,  11812,  13241,  18137, 
/* msg =   8105, deg =  6 */   3072,   4467,   6849,  10485,  10943,  18462, 
/* msg =   8106, deg =  6 */    673,    741,   4925,  10465,  16509,  18853, 
/* msg =   8107, deg =  6 */   4016,   5529,   7842,  10508,  13354,  19738, 
/* msg =   8108, deg =  6 */   2657,   4734,   7061,  13680,  15500,  15578, 
/* msg =   8109, deg =  6 */   1275,   1712,   6553,  13593,  13738,  14314, 
/* msg =   8110, deg =  6 */    428,   3064,   6969,  17427,  17885,  18518, 
/* msg =   8111, deg =  6 */   2545,   8891,   9436,  12499,  17290,  18987, 
/* msg =   8112, deg =  6 */    571,   3582,   6480,  10130,  11474,  16663, 
/* msg =   8113, deg =  6 */   2584,   3354,   8700,  11811,  14550,  16018, 
/* msg =   8114, deg =  6 */   5470,   9763,   9968,  12996,  14592,  17208, 
/* msg =   8115, deg =  6 */   1451,   2216,   4529,  10919,  18467,  19036, 
/* msg =   8116, deg =  6 */   2462,   5848,   7020,  12810,  13405,  16859, 
/* msg =   8117, deg =  6 */    196,    432,   6336,  10410,  14254,  18452, 
/* msg =   8118, deg =  6 */   1435,   7030,   7345,  14165,  16131,  17060, 
/* msg =   8119, deg =  6 */   6835,   8947,   9826,  13495,  13535,  15048, 
/* msg =   8120, deg =  6 */   5673,   7188,   9134,  10665,  11119,  17767, 
/* msg =   8121, deg =  6 */   1465,   2127,   8116,  10801,  11505,  13814, 
/* msg =   8122, deg =  6 */   3652,   4230,   4243,  10322,  13281,  14280, 
/* msg =   8123, deg =  6 */    583,   1344,   4646,  11417,  17475,  17959, 
/* msg =   8124, deg =  6 */   4835,   5651,   9368,  14226,  14434,  16249, 
/* msg =   8125, deg =  6 */   4423,   4598,   5053,  16265,  16289,  19148, 
/* msg =   8126, deg =  6 */   5597,   7797,   9148,  14590,  17401,  19685, 
/* msg =   8127, deg =  6 */   4463,   5955,   6993,  13459,  13695,  14714, 
/* msg =   8128, deg =  6 */    298,   3039,   4699,  11219,  11800,  19173, 
/* msg =   8129, deg =  6 */   1745,   3424,   4562,  14656,  16905,  18386, 
/* msg =   8130, deg =  6 */   4964,   8786,   8953,  15474,  15733,  16706, 
/* msg =   8131, deg =  6 */   2126,   5093,   8564,  14282,  15385,  18588, 
/* msg =   8132, deg =  6 */   6053,   7013,   8268,  10172,  16526,  17680, 
/* msg =   8133, deg =  6 */   1384,   3560,   3958,  11451,  11462,  18443, 
/* msg =   8134, deg =  6 */   2411,   3714,   8110,  10607,  16077,  17342, 
/* msg =   8135, deg =  6 */   5534,   7091,   7625,  12773,  14291,  17629, 
/* msg =   8136, deg =  6 */   3610,   5644,   9448,  10794,  14035,  16735, 
/* msg =   8137, deg =  6 */   5899,   8746,   8830,  16408,  17890,  19248, 
/* msg =   8138, deg =  6 */    189,   4604,   8086,  15801,  17880,  19076, 
/* msg =   8139, deg =  6 */   2075,   2929,   9923,  11367,  11533,  13771, 
/* msg =   8140, deg =  6 */   1118,   4522,   5236,  10158,  10669,  17644, 
/* msg =   8141, deg =  6 */   2013,   6478,   8123,  11412,  18597,  19394, 
/* msg =   8142, deg =  6 */   1637,   2542,   3653,  11428,  13626,  19959, 
/* msg =   8143, deg =  6 */   2764,   5039,   9914,  10004,  12027,  15228, 
/* msg =   8144, deg =  6 */   2098,   4081,   4780,  15826,  17524,  18775, 
/* msg =   8145, deg =  6 */   3325,   3818,   5868,  11017,  14871,  18743, 
/* msg =   8146, deg =  6 */   5002,   5620,   8881,  11090,  19603,  19866, 
/* msg =   8147, deg =  6 */    946,   3889,   7149,  10405,  13831,  14491, 
/* msg =   8148, deg =  6 */   1560,   3641,   8151,  13530,  14052,  14390, 
/* msg =   8149, deg =  6 */   3580,   4912,   5029,  11384,  11489,  18011, 
/* msg =   8150, deg =  6 */   2592,   3589,   4211,  13195,  13303,  14625, 
/* msg =   8151, deg =  6 */   3299,   5201,   8744,  13077,  13722,  15496, 
/* msg =   8152, deg =  6 */    805,   1197,   7367,  14637,  14728,  16366, 
/* msg =   8153, deg =  6 */   3819,   5276,   9186,  10702,  12869,  16534, 
/* msg =   8154, deg =  6 */   5799,   6180,   7245,  11501,  18002,  19493, 
/* msg =   8155, deg =  6 */   3398,   3811,   5056,  10021,  10272,  14512, 
/* msg =   8156, deg =  6 */   1058,   3098,   4630,  10853,  13439,  17039, 
/* msg =   8157, deg =  6 */   1089,   6204,   9983,  14620,  15980,  17894, 
/* msg =   8158, deg =  6 */     41,   4849,   5739,  13011,  16538,  17055, 
/* msg =   8159, deg =  6 */   1423,   4759,   6127,  13072,  13442,  18126, 
/* msg =   8160, deg =  6 */   3444,   6313,   6442,  12154,  14001,  14338, 
/* msg =   8161, deg =  6 */   3208,   5645,   7555,  17779,  17999,  18098, 
/* msg =   8162, deg =  6 */    736,   1787,   1998,  13161,  13375,  19883, 
/* msg =   8163, deg =  6 */   6091,   7786,   8849,  10032,  11474,  13347, 
/* msg =   8164, deg =  6 */    304,   1387,   5431,  14665,  18460,  18887, 
/* msg =   8165, deg =  6 */     99,   5202,   9324,  12735,  14410,  18289, 
/* msg =   8166, deg =  6 */   1472,   4983,   6347,  11883,  15355,  16860, 
/* msg =   8167, deg =  6 */   2206,   6023,   6220,  17941,  18232,  18568, 
/* msg =   8168, deg =  6 */    550,   8601,   9073,  15338,  16535,  17945, 
/* msg =   8169, deg =  6 */   6155,   7992,   8558,  17217,  17766,  19916, 
/* msg =   8170, deg =  6 */    577,   3258,   8760,  10428,  14753,  16823, 
/* msg =   8171, deg =  6 */   4544,   7709,   9038,  10721,  17872,  19917, 
/* msg =   8172, deg =  6 */   1384,   8424,   9485,  12110,  17496,  17924, 
/* msg =   8173, deg =  6 */    806,   3406,   9909,  13390,  15285,  19625, 
/* msg =   8174, deg =  6 */   3756,   7974,   8655,  15643,  15924,  16028, 
/* msg =   8175, deg =  6 */   7617,   9026,   9279,  12740,  12867,  18253, 
/* msg =   8176, deg =  6 */   1387,   4561,   7027,  14137,  18090,  19754, 
/* msg =   8177, deg =  6 */   6390,   7275,   7486,  16380,  17590,  18179, 
/* msg =   8178, deg =  6 */   1798,   4440,   7992,  11752,  13813,  17504, 
/* msg =   8179, deg =  6 */   2234,   3456,   5574,  16226,  16268,  18209, 
/* msg =   8180, deg =  6 */   1621,   4731,   6617,  14960,  16304,  17920, 
/* msg =   8181, deg =  6 */   1155,   3443,   7075,  13034,  14863,  14883, 
/* msg =   8182, deg =  6 */   2208,   7405,   8139,  11065,  12140,  12160, 
/* msg =   8183, deg =  6 */    314,   5843,   9446,  11087,  16751,  18065, 
/* msg =   8184, deg =  6 */   4859,   6395,   7176,  15225,  19166,  19998, 
/* msg =   8185, deg =  6 */    112,   1789,   8436,  12732,  17015,  19584, 
/* msg =   8186, deg =  6 */   1628,   3898,   9809,  14013,  15541,  16768, 
/* msg =   8187, deg =  6 */   6203,   7065,   8820,  13057,  13788,  14298, 
/* msg =   8188, deg =  6 */   4807,   8220,   8664,  10416,  10910,  17635, 
/* msg =   8189, deg =  6 */   2888,   2954,   4669,  17861,  18489,  18931, 
/* msg =   8190, deg =  6 */   4509,   5199,   6468,  12544,  14010,  16585, 
/* msg =   8191, deg =  6 */   4445,   5789,   7079,  13024,  15260,  15324, 
/* msg =   8192, deg =  6 */   1378,   5532,   9676,  12011,  12111,  14517, 
/* msg =   8193, deg =  6 */   5001,   7038,   9431,  10757,  14303,  15539, 
/* msg =   8194, deg =  6 */   5414,   5757,   9833,  10576,  11777,  19832, 
/* msg =   8195, deg =  6 */   1803,   5578,   6163,  10034,  16858,  17701, 
/* msg =   8196, deg =  6 */   4711,   8060,   9398,  11528,  11873,  15841, 
/* msg =   8197, deg =  6 */    670,   3606,   7267,  10243,  11715,  16533, 
/* msg =   8198, deg =  6 */   1058,   2067,   9780,  10796,  12429,  16949, 
/* msg =   8199, deg =  6 */   4134,   5320,   5909,  11187,  12174,  16776, 
/* msg =   8200, deg =  6 */    576,   3143,   7165,  10885,  13750,  14748, 
/* msg =   8201, deg =  6 */   2841,   5826,   9519,  10875,  12718,  19685, 
/* msg =   8202, deg =  6 */   1999,   7091,   8421,  17698,  18454,  19476, 
/* msg =   8203, deg =  6 */   1950,   4631,   7065,  11808,  16202,  19281, 
/* msg =   8204, deg =  6 */   5625,   5907,   6109,  10588,  15367,  16259, 
/* msg =   8205, deg =  6 */    119,    994,   4008,  10407,  12494,  13291, 
/* msg =   8206, deg =  6 */   5625,   8055,   9175,  10145,  13073,  19440, 
/* msg =   8207, deg =  6 */   2584,   6494,   7317,  10578,  11762,  11763, 
/* msg =   8208, deg =  6 */   3365,   4763,   8891,  14931,  18045,  18841, 
/* msg =   8209, deg =  6 */   5788,   5933,   7115,  12542,  12624,  19613, 
/* msg =   8210, deg =  6 */   3358,   3783,   5837,  13020,  14961,  19038, 
/* msg =   8211, deg =  6 */    563,   1755,   3960,  10412,  15768,  19494, 
/* msg =   8212, deg =  6 */   1118,   2841,   4314,  11435,  15090,  16983, 
/* msg =   8213, deg =  6 */    344,   2322,   3321,  15925,  19578,  19632, 
/* msg =   8214, deg =  6 */   1164,   5011,   6842,  11721,  17871,  19537, 
/* msg =   8215, deg =  6 */     11,   3158,   9464,  12714,  14587,  15386, 
/* msg =   8216, deg =  6 */   1886,   4662,   6915,  12487,  15157,  15889, 
/* msg =   8217, deg =  6 */   3407,   3775,   4862,  13302,  15694,  19673, 
/* msg =   8218, deg =  6 */   2161,   4878,   9827,  18119,  19223,  19894, 
/* msg =   8219, deg =  6 */    422,    895,   2113,  14126,  14874,  18974, 
/* msg =   8220, deg =  6 */    349,   2241,   8121,  14275,  15550,  16319, 
/* msg =   8221, deg =  6 */   3154,   3310,   7430,  12361,  18190,  19914, 
/* msg =   8222, deg =  6 */    728,   6058,   9282,  11899,  14711,  17914, 
/* msg =   8223, deg =  6 */   6237,   7023,   8519,  14861,  16604,  19961, 
/* msg =   8224, deg =  6 */   5258,   8637,   9707,  16271,  19563,  19896, 
/* msg =   8225, deg =  6 */    821,   1752,   5802,  11398,  13099,  15194, 
/* msg =   8226, deg =  6 */   2420,   2589,   2862,  14087,  17028,  19643, 
/* msg =   8227, deg =  6 */   4593,   5059,   7780,  12545,  15465,  16967, 
/* msg =   8228, deg =  6 */   1815,   6207,   8823,  10886,  17786,  18500, 
/* msg =   8229, deg =  6 */   5983,   7006,   9928,  12680,  18102,  18449, 
/* msg =   8230, deg =  6 */   1948,   5542,   8910,  11286,  17100,  19841, 
/* msg =   8231, deg =  6 */   6729,   8552,   9870,  15180,  15956,  17572, 
/* msg =   8232, deg =  6 */   1101,   1632,   2904,  10309,  15331,  18748, 
/* msg =   8233, deg =  6 */   4704,   6429,   8978,  16877,  18354,  19830, 
/* msg =   8234, deg =  6 */   1186,   4755,   9330,  10825,  11551,  12883, 
/* msg =   8235, deg =  6 */    355,   7083,   9597,  10288,  10308,  12538, 
/* msg =   8236, deg =  6 */    848,   3317,   4472,  17286,  17396,  18881, 
/* msg =   8237, deg =  6 */   7742,   9196,   9619,  10551,  11437,  14714, 
/* msg =   8238, deg =  6 */   5701,   6118,   6909,  11662,  12301,  16527, 
/* msg =   8239, deg =  6 */   1999,   3487,   5601,  17987,  19583,  19671, 
/* msg =   8240, deg =  6 */   3012,   3782,   9216,  11827,  13586,  14621, 
/* msg =   8241, deg =  6 */   3009,   3700,   6633,  10178,  15040,  15063, 
/* msg =   8242, deg =  6 */    660,    791,   8626,  13664,  17044,  19918, 
/* msg =   8243, deg =  6 */   1100,   1343,   6225,  13730,  15899,  19267, 
/* msg =   8244, deg =  6 */    948,   3041,   7470,  10103,  14850,  17958, 
/* msg =   8245, deg =  6 */   1156,   2310,   2701,  11199,  14181,  19377, 
/* msg =   8246, deg =  6 */    280,   2859,   6683,  12071,  13031,  13949, 
/* msg =   8247, deg =  6 */    732,   3294,   6861,  13592,  17787,  18442, 
/* msg =   8248, deg =  6 */   3061,   6843,   8443,  13560,  14091,  19123, 
/* msg =   8249, deg =  6 */   1015,   2371,   6281,  12731,  19552,  19868, 
/* msg =   8250, deg =  6 */   3506,   5900,   9988,  11203,  15137,  16951, 
/* msg =   8251, deg =  6 */     50,   8078,   9367,  10968,  13125,  16359, 
/* msg =   8252, deg =  6 */   4472,   5885,   7191,  10163,  12322,  13507, 
/* msg =   8253, deg =  6 */     87,    229,   5694,  11992,  17243,  18569, 
/* msg =   8254, deg =  6 */   1517,   2719,   6753,  11829,  11957,  15161, 
/* msg =   8255, deg =  6 */    945,   1582,   8688,  15748,  16242,  17371, 
/* msg =   8256, deg =  6 */    371,   5140,   5828,  12367,  14858,  18890, 
/* msg =   8257, deg =  6 */    774,   3326,   3922,  12491,  13202,  17260, 
/* msg =   8258, deg =  6 */     17,   4462,   6692,  12999,  14789,  16389, 
/* msg =   8259, deg =  6 */    814,   8530,   9732,  10515,  11720,  12823, 
/* msg =   8260, deg =  6 */   1615,   1676,   8154,  11998,  13581,  16942, 
/* msg =   8261, deg =  6 */   3346,   9691,   9865,  13644,  16270,  17107, 
/* msg =   8262, deg =  6 */    461,    527,   2583,  10903,  12299,  14316, 
/* msg =   8263, deg =  6 */    440,   1794,   7960,  16413,  19323,  19998, 
/* msg =   8264, deg =  6 */    391,   5776,   8161,  11287,  15652,  17406, 
/* msg =   8265, deg =  6 */   1749,   4377,   6762,  10993,  13006,  17488, 
/* msg =   8266, deg =  6 */   1651,   8676,   9325,  14523,  14710,  16780, 
/* msg =   8267, deg =  6 */   3691,   5958,   7557,  12355,  13906,  18316, 
/* msg =   8268, deg =  6 */    259,    496,    686,  16143,  18953,  19748, 
/* msg =   8269, deg =  6 */   6124,   7922,   9428,  12444,  17020,  19426, 
/* msg =   8270, deg =  6 */    323,   2998,   5292,  13373,  14339,  16288, 
/* msg =   8271, deg =  6 */    854,   1677,   3084,  16686,  17684,  18660, 
/* msg =   8272, deg =  6 */    861,   3514,   6168,  10409,  15291,  16118, 
/* msg =   8273, deg =  6 */    336,   7729,   8629,  11445,  12707,  17705, 
/* msg =   8274, deg =  6 */    756,   2083,   4362,  14357,  15114,  19117, 
/* msg =   8275, deg =  6 */   5455,   6760,   7634,  11690,  18131,  19673, 
/* msg =   8276, deg =  6 */   3517,   4080,   4487,  13441,  18701,  19573, 
/* msg =   8277, deg =  6 */   2306,   3213,   3931,  11652,  15234,  17842, 
/* msg =   8278, deg =  6 */    212,   7626,   8363,  14118,  15275,  15698, 
/* msg =   8279, deg =  6 */    216,   2805,   4096,  10170,  15986,  19572, 
/* msg =   8280, deg =  6 */   1934,   5415,   5731,  10601,  12478,  13330, 
/* msg =   8281, deg =  6 */    766,   1778,   4370,  11525,  13246,  14324, 
/* msg =   8282, deg =  6 */     12,    423,   6697,  10952,  13239,  16503, 
/* msg =   8283, deg =  6 */   1208,   3684,   9325,  12870,  17527,  18609, 
/* msg =   8284, deg =  6 */   1917,   2782,   3972,  11063,  15253,  17742, 
/* msg =   8285, deg =  6 */   4318,   4783,   6230,  11112,  13144,  18641, 
/* msg =   8286, deg =  6 */   3204,   5296,   8344,  10049,  13426,  15635, 
/* msg =   8287, deg =  6 */    779,   7853,   8733,  11586,  12474,  17352, 
/* msg =   8288, deg =  6 */   1730,   3836,   6485,  12967,  15090,  18264, 
/* msg =   8289, deg =  6 */   1274,   3364,   3748,  10716,  19065,  19253, 
/* msg =   8290, deg =  6 */    422,   4417,   4906,  11242,  16928,  18104, 
/* msg =   8291, deg =  6 */   4842,   7964,   8671,  12013,  15006,  19404, 
/* msg =   8292, deg =  6 */   1939,   3871,   9545,  11387,  15284,  15669, 
/* msg =   8293, deg =  6 */   1592,   5830,   9243,  10448,  15573,  16999, 
/* msg =   8294, deg =  6 */   3571,   5468,   6426,  10587,  16563,  17408, 
/* msg =   8295, deg =  6 */    413,   6168,   7348,  13722,  17333,  18655, 
/* msg =   8296, deg =  6 */   3451,   7559,   9968,  12830,  17189,  18621, 
/* msg =   8297, deg =  6 */     47,   2648,   6959,  14328,  15701,  19001, 
/* msg =   8298, deg =  6 */   2258,   7054,   9395,  15448,  16911,  17304, 
/* msg =   8299, deg =  6 */     32,   1642,   5375,  10989,  14397,  16339, 
/* msg =   8300, deg =  6 */    107,   7304,   7904,  13761,  17821,  19121, 
/* msg =   8301, deg =  6 */   6037,   7157,   7894,  11325,  11911,  12552, 
/* msg =   8302, deg =  6 */    735,   2445,   3567,  13918,  16028,  19525, 
/* msg =   8303, deg =  6 */   3893,   4355,   6724,  12086,  13753,  14249, 
/* msg =   8304, deg =  6 */   2843,   3524,   7664,  13505,  15550,  16047, 
/* msg =   8305, deg =  6 */   3883,   7726,   8641,  14543,  15133,  19875, 
/* msg =   8306, deg =  6 */   1304,   4225,   5161,  10750,  12301,  12665, 
/* msg =   8307, deg =  6 */   3889,   4647,   6028,  12194,  13726,  15592, 
/* msg =   8308, deg =  6 */   5110,   5270,   9932,  16403,  17990,  19570, 
/* msg =   8309, deg =  6 */   2324,   8236,   9328,  15573,  17349,  17500, 
/* msg =   8310, deg =  6 */    103,   6436,   6920,  10047,  15377,  15488, 
/* msg =   8311, deg =  6 */   3818,   4980,   9142,  13446,  19056,  19808, 
/* msg =   8312, deg =  6 */   2495,   5066,   9460,  10045,  11707,  17386, 
/* msg =   8313, deg =  6 */   2107,   3718,   9752,  11569,  11597,  19263, 
/* msg =   8314, deg =  6 */   1897,   1924,   6134,  14779,  16118,  19088, 
/* msg =   8315, deg =  6 */    898,   4701,   5879,  11045,  12627,  16678, 
/* msg =   8316, deg =  6 */   2346,   2394,   3399,  13720,  18847,  19472, 
/* msg =   8317, deg =  6 */   2602,   3780,   9611,  15879,  16842,  17153, 
/* msg =   8318, deg =  6 */   2587,   2671,   7366,  13004,  13831,  14576, 
/* msg =   8319, deg =  6 */   3572,   5782,   7396,  10026,  12173,  18472, 
/* msg =   8320, deg =  6 */   4250,   9037,   9247,  11333,  12982,  16231, 
/* msg =   8321, deg =  6 */   6480,   8799,   9733,  10852,  13558,  15018, 
/* msg =   8322, deg =  6 */   4357,   8184,   9045,  10134,  19722,  19891, 
/* msg =   8323, deg =  6 */    142,   4109,   9949,  10818,  13980,  18104, 
/* msg =   8324, deg =  6 */    123,   6278,   8930,  10368,  13103,  15205, 
/* msg =   8325, deg =  6 */   1289,   2652,   8248,  14254,  16895,  18393, 
/* msg =   8326, deg =  6 */   4128,   6872,   8982,  10257,  11735,  19051, 
/* msg =   8327, deg =  6 */   3894,   6979,   6992,  10076,  17361,  17588, 
/* msg =   8328, deg =  6 */   2827,   3851,   6411,  10104,  10703,  16321, 
/* msg =   8329, deg =  6 */   3551,   4917,   5598,  11534,  12031,  19030, 
/* msg =   8330, deg =  6 */   1419,   6111,   9975,  14113,  17750,  18609, 
/* msg =   8331, deg =  6 */   2986,   7859,   8042,  14381,  14656,  16695, 
/* msg =   8332, deg =  6 */   2948,   3874,   8109,  13404,  15625,  16687, 
/* msg =   8333, deg =  6 */   4083,   7764,   9795,  10421,  15171,  16172, 
/* msg =   8334, deg =  6 */   2930,   3554,   4090,  12104,  14478,  15140, 
/* msg =   8335, deg =  6 */   4361,   6443,   8680,  13997,  15615,  18364, 
/* msg =   8336, deg =  6 */    584,   3344,   5086,  14823,  16991,  19378, 
/* msg =   8337, deg =  6 */   3922,   3958,   7072,  11516,  13478,  13546, 
/* msg =   8338, deg =  6 */    696,   7258,   7328,  13572,  16959,  18562, 
/* msg =   8339, deg =  6 */   1636,   1828,   2054,  12876,  13379,  16549, 
/* msg =   8340, deg =  6 */     94,   3786,   7447,  10408,  13792,  19460, 
/* msg =   8341, deg =  6 */   2437,   3121,   4935,  13494,  15624,  17219, 
/* msg =   8342, deg =  6 */   5195,   6620,   8130,  14400,  14905,  14958, 
/* msg =   8343, deg =  6 */   3088,   4020,   6805,  10159,  14026,  16934, 
/* msg =   8344, deg =  6 */   1940,   6790,   7799,  12461,  13190,  16449, 
/* msg =   8345, deg =  6 */   1965,   5182,   9173,  10973,  14639,  17238, 
/* msg =   8346, deg =  6 */   6442,   6557,   8198,  17861,  18050,  18151, 
/* msg =   8347, deg =  6 */   1138,   5940,   7526,  10892,  11511,  16364, 
/* msg =   8348, deg =  6 */   2315,   5052,   8870,  13643,  17383,  17750, 
/* msg =   8349, deg =  6 */    957,   6784,   9285,  13715,  15007,  17035, 
/* msg =   8350, deg =  6 */   2060,   3620,   9646,  12606,  14050,  15326, 
/* msg =   8351, deg =  6 */   6353,   6549,   7893,  12590,  14661,  15984, 
/* msg =   8352, deg =  6 */   4323,   7057,   8133,  15397,  16014,  17109, 
/* msg =   8353, deg =  6 */      7,    718,   5969,  12088,  16597,  18485, 
/* msg =   8354, deg =  6 */    315,   5138,   5151,  10454,  15150,  17306, 
/* msg =   8355, deg =  6 */   1669,   2385,   8666,  11791,  13562,  15496, 
/* msg =   8356, deg =  6 */   1448,   1902,   9984,  13296,  14626,  17973, 
/* msg =   8357, deg =  6 */   1013,   4360,   9768,  10354,  15746,  16722, 
/* msg =   8358, deg =  6 */   5211,   8446,   8596,  17582,  19266,  19803, 
/* msg =   8359, deg =  6 */   5204,   5235,   6700,  10198,  15205,  15776, 
/* msg =   8360, deg =  6 */   2851,   4191,   5931,  12272,  13202,  19217, 
/* msg =   8361, deg =  6 */   2702,   4752,   5012,  12061,  13107,  14465, 
/* msg =   8362, deg =  6 */   3694,   4573,   4886,  13684,  13807,  16473, 
/* msg =   8363, deg =  6 */   4437,   5568,   9163,  12116,  12216,  15777, 
/* msg =   8364, deg =  6 */    669,   1581,   6566,  11126,  14331,  16448, 
/* msg =   8365, deg =  6 */   2731,   9225,   9869,  10734,  13177,  15239, 
/* msg =   8366, deg =  6 */   5102,   7094,   8927,  10434,  16514,  18496, 
/* msg =   8367, deg =  6 */   2995,   3558,   8249,  10044,  13690,  19928, 
/* msg =   8368, deg =  6 */   1370,   2174,   3289,  16230,  17130,  18846, 
/* msg =   8369, deg =  6 */   4608,   5814,   8355,  10760,  12334,  14415, 
/* msg =   8370, deg =  6 */   1175,   2557,   6674,  10807,  13980,  17646, 
/* msg =   8371, deg =  6 */   1988,   2804,   3951,  11460,  14907,  18992, 
/* msg =   8372, deg =  6 */   1763,   2452,   4280,  12804,  15530,  16126, 
/* msg =   8373, deg =  6 */    390,   5006,   8275,  13582,  14079,  19729, 
/* msg =   8374, deg =  6 */    699,   1751,   8849,  11879,  13239,  19375, 
/* msg =   8375, deg =  6 */   1652,   3340,   4283,  12339,  16617,  19691, 
/* msg =   8376, deg =  6 */   1845,   3050,   5132,  10254,  16518,  18989, 
/* msg =   8377, deg =  6 */   5165,   6869,   7698,  13278,  16748,  18619, 
/* msg =   8378, deg =  6 */   4810,   7675,   9916,  12051,  12890,  17414, 
/* msg =   8379, deg =  6 */   1938,   7061,   8507,  14143,  14501,  17827, 
/* msg =   8380, deg =  6 */   1708,   8301,   9945,  12041,  16261,  19224, 
/* msg =   8381, deg =  6 */   2184,   2582,   6142,  11059,  17353,  18989, 
/* msg =   8382, deg =  6 */   7291,   7858,   9585,  10799,  12964,  15445, 
/* msg =   8383, deg =  6 */    787,   4636,   6087,  10966,  15669,  19550, 
/* msg =   8384, deg =  6 */   2135,   2734,   8258,  10378,  11929,  17975, 
/* msg =   8385, deg =  6 */   7565,   8474,   8629,  11081,  11404,  13417, 
/* msg =   8386, deg =  6 */    392,   1200,   4431,  10587,  18274,  19710, 
/* msg =   8387, deg =  6 */   7632,   8277,   8717,  12563,  17339,  19738, 
/* msg =   8388, deg =  6 */    245,   1455,   5470,  10166,  17461,  17791, 
/* msg =   8389, deg =  6 */   4260,   7021,   8267,  12259,  16098,  19228, 
/* msg =   8390, deg =  6 */    483,   5739,   6175,  12451,  15989,  16138, 
/* msg =   8391, deg =  6 */    442,   1613,   2597,  16067,  17077,  17989, 
/* msg =   8392, deg =  6 */   1417,   1626,   7705,  10386,  10420,  18652, 
/* msg =   8393, deg =  6 */    732,   2644,   8663,  15250,  15675,  18326, 
/* msg =   8394, deg =  6 */   3184,   4769,   7746,  10723,  10929,  10945, 
/* msg =   8395, deg =  6 */   2306,   7650,   8132,  12566,  15196,  16123, 
/* msg =   8396, deg =  6 */   7559,   8833,   9775,  12996,  13575,  17847, 
/* msg =   8397, deg =  6 */    264,   5863,   7168,  12840,  15796,  17239, 
/* msg =   8398, deg =  6 */   1469,   5692,   9786,  14177,  17669,  19968, 
/* msg =   8399, deg =  6 */   2104,   5067,   5256,  13424,  14359,  14518, 
/* msg =   8400, deg =  6 */   4499,   5015,   8035,  13399,  16197,  18167, 
/* msg =   8401, deg =  6 */   1900,   3561,   8983,  13695,  17754,  19987, 
/* msg =   8402, deg =  6 */   4890,   8509,   9065,  10687,  13849,  14942, 
/* msg =   8403, deg =  6 */   1532,   1628,   5436,  15619,  16019,  18592, 
/* msg =   8404, deg =  6 */    420,    525,    945,  10819,  11984,  16401, 
/* msg =   8405, deg =  6 */   6199,   6410,   9315,  14449,  16456,  19725, 
/* msg =   8406, deg =  6 */    765,   2927,   7973,  11206,  12924,  16091, 
/* msg =   8407, deg =  6 */   6583,   7972,   9342,  14486,  17180,  17716, 
/* msg =   8408, deg =  6 */   1918,   5973,   6804,  10469,  12320,  15590, 
/* msg =   8409, deg =  6 */   1103,   1976,   2912,  10083,  11714,  11748, 
/* msg =   8410, deg =  6 */   4442,   4925,   8687,  14019,  14724,  19142, 
/* msg =   8411, deg =  6 */   1628,   9360,   9779,  10419,  13389,  18937, 
/* msg =   8412, deg =  6 */    192,   2784,   7261,  13679,  14436,  17939, 
/* msg =   8413, deg =  6 */   3156,   4638,   8354,  13115,  15068,  15792, 
/* msg =   8414, deg =  6 */   2684,   3332,   9603,  10936,  14240,  17117, 
/* msg =   8415, deg =  6 */   1981,   4221,   8977,  13219,  14622,  19574, 
/* msg =   8416, deg =  6 */   5105,   5579,   5635,  11177,  13485,  19643, 
/* msg =   8417, deg =  6 */    339,   1246,   1917,  12635,  14420,  19186, 
/* msg =   8418, deg =  6 */   1791,   6416,   6703,  10940,  14655,  15752, 
/* msg =   8419, deg =  6 */   3170,   3544,   6487,  13251,  17833,  19091, 
/* msg =   8420, deg =  6 */    400,   2714,   4049,  14267,  16439,  18198, 
/* msg =   8421, deg =  6 */   4452,   8287,   9615,  11115,  11556,  17780, 
/* msg =   8422, deg =  6 */    134,   8125,   8727,  13787,  14794,  16321, 
/* msg =   8423, deg =  6 */   2485,   6297,   8169,  10280,  11353,  15069, 
/* msg =   8424, deg =  6 */   1931,   6172,   8260,  12120,  18161,  18703, 
/* msg =   8425, deg =  6 */   1303,   6201,   6613,  10119,  14812,  17558, 
/* msg =   8426, deg =  6 */    492,   4549,   9798,  11289,  16537,  17423, 
/* msg =   8427, deg =  6 */   4196,   5304,   8327,  16861,  17089,  19204, 
/* msg =   8428, deg =  6 */    427,   1011,   8704,  15676,  19012,  19590, 
/* msg =   8429, deg =  6 */    315,    984,   5242,  10211,  18242,  18661, 
/* msg =   8430, deg =  6 */   1193,   5540,   8353,  13934,  14538,  16589, 
/* msg =   8431, deg =  6 */   5504,   6252,   8798,  10348,  16365,  17353, 
/* msg =   8432, deg =  6 */   1644,   4413,   9973,  11820,  15617,  16895, 
/* msg =   8433, deg =  6 */   3870,   6198,   9743,  10038,  12145,  16143, 
/* msg =   8434, deg =  6 */   3830,   7587,   7924,  10177,  12090,  13234, 
/* msg =   8435, deg =  6 */   7100,   7347,   8240,  11266,  12101,  17978, 
/* msg =   8436, deg =  6 */    625,   3234,   8247,  10800,  11170,  16157, 
/* msg =   8437, deg =  6 */   1200,   7296,   9012,  14698,  19201,  19715, 
/* msg =   8438, deg =  6 */    709,   1273,   6329,  13668,  16004,  16996, 
/* msg =   8439, deg =  6 */   4247,   4365,   9762,  10149,  14366,  14833, 
/* msg =   8440, deg =  6 */   6579,   8083,   8699,  12383,  14451,  17895, 
/* msg =   8441, deg =  6 */    268,    531,   3583,  14505,  18189,  19600, 
/* msg =   8442, deg =  6 */   4578,   5075,   5528,  12079,  18428,  18582, 
/* msg =   8443, deg =  6 */   8123,   9042,   9821,  10473,  12191,  12753, 
/* msg =   8444, deg =  6 */   2863,   4804,   7891,  10821,  15415,  17822, 
/* msg =   8445, deg =  6 */   2900,   4351,   9506,  11231,  17988,  18919, 
/* msg =   8446, deg =  6 */   1617,   6833,   8866,  14992,  15010,  19507, 
/* msg =   8447, deg =  6 */   2704,   7551,   8618,  11373,  13790,  18099, 
/* msg =   8448, deg =  6 */   2154,   2829,   3145,  10840,  14670,  15839, 
/* msg =   8449, deg =  6 */   4311,   5130,   7300,  11921,  12372,  15973, 
/* msg =   8450, deg =  6 */   4338,   7006,   7908,  10363,  10626,  13156, 
/* msg =   8451, deg =  6 */   2227,   4803,   5744,  12315,  15405,  19594, 
/* msg =   8452, deg =  6 */   5611,   5928,   8976,  13914,  14766,  19345, 
/* msg =   8453, deg =  6 */   7213,   9114,   9192,  10944,  11669,  15037, 
/* msg =   8454, deg =  6 */   2689,   6282,   8795,  11639,  18835,  19209, 
/* msg =   8455, deg =  6 */    561,    724,   9806,  11201,  13134,  18563, 
/* msg =   8456, deg =  6 */   3418,   5328,   9293,  10753,  13111,  17779, 
/* msg =   8457, deg =  6 */   2328,   3837,   4966,  15268,  15950,  16019, 
/* msg =   8458, deg =  6 */   5017,   8783,   9638,  10912,  14870,  15353, 
/* msg =   8459, deg =  6 */   3235,   3298,   8021,  11552,  16533,  18474, 
/* msg =   8460, deg =  6 */   1931,   7866,   9964,  10381,  11067,  19446, 
/* msg =   8461, deg =  6 */   5062,   5967,   8762,  10047,  11916,  17444, 
/* msg =   8462, deg =  6 */   8296,   9552,   9977,  13012,  13043,  14164, 
/* msg =   8463, deg =  6 */   2307,   9463,   9506,  10108,  14520,  17580, 
/* msg =   8464, deg =  6 */   2070,   6203,   7455,  11308,  11854,  18636, 
/* msg =   8465, deg =  6 */   5346,   6660,   6709,  11928,  14616,  18132, 
/* msg =   8466, deg =  6 */    393,   2509,   7139,  14404,  16421,  19305, 
/* msg =   8467, deg =  6 */   2064,   2901,   5573,  10534,  16130,  19896, 
/* msg =   8468, deg =  6 */   1988,   8570,   9203,  14957,  14981,  15354, 
/* msg =   8469, deg =  6 */   3442,   5897,   9937,  12376,  14745,  17941, 
/* msg =   8470, deg =  6 */    734,   4149,   7245,  12143,  16268,  17701, 
/* msg =   8471, deg =  6 */   4108,   6416,   9972,  12462,  15695,  15858, 
/* msg =   8472, deg =  6 */   1630,   3440,   7167,  15319,  17289,  18720, 
/* msg =   8473, deg =  6 */   1107,   5767,   9659,  11075,  14086,  18723, 
/* msg =   8474, deg =  6 */   5706,   5962,   6806,  13352,  17581,  19717, 
/* msg =   8475, deg =  6 */   2652,   3039,   9620,  11268,  12760,  15725, 
/* msg =   8476, deg =  6 */   2147,   4828,   6949,  11695,  12889,  15115, 
/* msg =   8477, deg =  6 */   1453,   6346,   7911,  17740,  19259,  19291, 
/* msg =   8478, deg =  6 */   1239,   7425,   9962,  14499,  14886,  14954, 
/* msg =   8479, deg =  6 */   3711,   5878,   7133,  10334,  13086,  13913, 
/* msg =   8480, deg =  6 */   6274,   8732,   9667,  11493,  15820,  17017, 
/* msg =   8481, deg =  6 */   4060,   4217,   9922,  13396,  13900,  17227, 
/* msg =   8482, deg =  6 */    285,    663,   3618,  10549,  18978,  19796, 
/* msg =   8483, deg =  6 */    124,   5568,   7247,  13081,  13152,  19617, 
/* msg =   8484, deg =  6 */   1073,   4823,   9153,  10083,  12787,  13339, 
/* msg =   8485, deg =  6 */   8190,   8802,   9259,  13981,  15655,  16573, 
/* msg =   8486, deg =  6 */   2253,   2294,   7277,  10545,  14107,  19579, 
/* msg =   8487, deg =  6 */    345,   2921,   7220,  16670,  18130,  18825, 
/* msg =   8488, deg =  6 */   1533,   3130,   8827,  10672,  16948,  17256, 
/* msg =   8489, deg =  6 */   6816,   7384,   8834,  10643,  14668,  17936, 
/* msg =   8490, deg =  6 */    722,   1775,   3763,  10357,  10882,  14508, 
/* msg =   8491, deg =  6 */   2180,   7082,   8094,  14385,  14778,  16318, 
/* msg =   8492, deg =  6 */   3450,   8271,   9534,  10555,  10870,  14738, 
/* msg =   8493, deg =  6 */    179,   4051,   4141,  13386,  14102,  16702, 
/* msg =   8494, deg =  6 */    970,   3076,   4406,  10907,  11537,  12573, 
/* msg =   8495, deg =  6 */    854,   1176,   7138,  16577,  18423,  19211, 
/* msg =   8496, deg =  6 */   6540,   7454,   8582,  10567,  11567,  19807, 
/* msg =   8497, deg =  6 */    648,   4412,   4652,  11683,  18185,  19446, 
/* msg =   8498, deg =  6 */   5811,   6606,   8842,  14848,  17245,  17515, 
/* msg =   8499, deg =  6 */    793,   1733,   7096,  11207,  16387,  18978, 
/* msg =   8500, deg =  6 */   1505,   3380,   9624,  13420,  13992,  17828, 
/* msg =   8501, deg =  6 */    387,   7340,   8178,  11078,  15074,  15888, 
/* msg =   8502, deg =  6 */    541,   4943,   8981,  10619,  15984,  19307, 
/* msg =   8503, deg =  6 */   2328,   6179,   7956,  15946,  15972,  17082, 
/* msg =   8504, deg =  6 */   1477,   2266,   6555,  15041,  15114,  19032, 
/* msg =   8505, deg =  6 */   6255,   7136,   9288,  14163,  15141,  18290, 
/* msg =   8506, deg =  6 */   1135,   1557,   6176,  11229,  13126,  13542, 
/* msg =   8507, deg =  6 */   4209,   5520,   9921,  11469,  14736,  17727, 
/* msg =   8508, deg =  6 */   2601,   2687,   8234,  13273,  14380,  19788, 
/* msg =   8509, deg =  6 */   5124,   6484,   9503,  16632,  16981,  18178, 
/* msg =   8510, deg =  6 */   3379,   7282,   7581,  11778,  13074,  18327, 
/* msg =   8511, deg =  6 */   2292,   2851,   4665,  10265,  13244,  15755, 
/* msg =   8512, deg =  6 */   5317,   7178,   7988,  14475,  18802,  19608, 
/* msg =   8513, deg =  6 */   3256,   6398,   9854,  11596,  13352,  18307, 
/* msg =   8514, deg =  6 */   1770,   6846,   7686,  12483,  15954,  16187, 
/* msg =   8515, deg =  6 */    294,   1391,   1664,  11886,  13962,  15880, 
/* msg =   8516, deg =  6 */    279,   4195,   9688,  15631,  17709,  18240, 
/* msg =   8517, deg =  6 */   1087,   1416,   6126,  15247,  15832,  17550, 
/* msg =   8518, deg =  6 */   5357,   7300,   7413,  12917,  17647,  18000, 
/* msg =   8519, deg =  6 */   5124,   6217,   9785,  11701,  18197,  19712, 
/* msg =   8520, deg =  6 */   2073,   3907,   9218,  15929,  16515,  16574, 
/* msg =   8521, deg =  6 */   1637,   3054,   3548,  11737,  15940,  19955, 
/* msg =   8522, deg =  6 */   3781,   4706,   9361,  11721,  15765,  19081, 
/* msg =   8523, deg =  6 */   3309,   6294,   9809,  12951,  17961,  18037, 
/* msg =   8524, deg =  6 */   2233,   4324,   5452,  11449,  15395,  17471, 
/* msg =   8525, deg =  6 */   2938,   4064,   4452,  15931,  17393,  17449, 
/* msg =   8526, deg =  6 */   4074,   8280,   8629,  11349,  11807,  13869, 
/* msg =   8527, deg =  6 */   3452,   6114,   6401,  11433,  13455,  16641, 
/* msg =   8528, deg =  6 */   7187,   7513,   8098,  11437,  12330,  19054, 
/* msg =   8529, deg =  6 */   6636,   9090,   9430,  15348,  19106,  19552, 
/* msg =   8530, deg =  6 */   3506,   5281,   6394,  11967,  14209,  18445, 
/* msg =   8531, deg =  6 */   2722,   5303,   5409,  15074,  18647,  18895, 
/* msg =   8532, deg =  6 */   1712,   3728,   3762,  13711,  14124,  16231, 
/* msg =   8533, deg =  6 */   1051,   4608,   8298,  16755,  17555,  17853, 
/* msg =   8534, deg =  6 */   4874,   8910,   9292,  10849,  11942,  17679, 
/* msg =   8535, deg =  6 */    274,   5424,   7823,  13389,  14858,  19453, 
/* msg =   8536, deg =  6 */   1126,   2388,   3716,  13035,  13133,  18970, 
/* msg =   8537, deg =  6 */   1969,   5181,   8526,  13462,  13757,  13895, 
/* msg =   8538, deg =  6 */   4235,   4761,   5284,  10914,  11414,  13501, 
/* msg =   8539, deg =  6 */   3790,   5500,   6708,  14215,  14657,  14813, 
/* msg =   8540, deg =  6 */   3382,   9377,   9900,  18241,  18547,  19955, 
/* msg =   8541, deg =  6 */    799,   1839,   7803,  12883,  14956,  14964, 
/* msg =   8542, deg =  6 */   4825,   7646,   8714,  10173,  11348,  12385, 
/* msg =   8543, deg =  6 */      0,   1412,   9724,  13045,  14244,  16741, 
/* msg =   8544, deg =  6 */   5369,   9402,   9836,  11574,  11881,  14663, 
/* msg =   8545, deg =  6 */   1572,   5014,   5997,  10498,  15010,  16587, 
/* msg =   8546, deg =  6 */   5216,   7789,   9116,  11559,  14252,  19441, 
/* msg =   8547, deg =  6 */   3045,   4194,   7212,  15339,  15707,  18586, 
/* msg =   8548, deg =  6 */   2082,   7139,   7848,  12167,  17201,  18145, 
/* msg =   8549, deg =  6 */   1216,   2557,   4460,  16289,  19121,  19165, 
/* msg =   8550, deg =  6 */     62,   3698,   6241,  15351,  16369,  19589, 
/* msg =   8551, deg =  6 */    403,   2554,   5979,  13310,  14191,  15564, 
/* msg =   8552, deg =  6 */   6735,   8450,   9768,  14067,  16047,  19921, 
/* msg =   8553, deg =  6 */   2270,   5171,   8085,  11360,  13658,  18758, 
/* msg =   8554, deg =  6 */   2925,   3968,   8702,  10562,  12612,  14424, 
/* msg =   8555, deg =  6 */    572,   3032,   3703,  12846,  12849,  19889, 
/* msg =   8556, deg =  6 */   1376,   4686,   8394,  19331,  19361,  19487, 
/* msg =   8557, deg =  6 */   5445,   8533,   9062,  15233,  16721,  16952, 
/* msg =   8558, deg =  6 */   1343,   3479,   5867,  13596,  13672,  18369, 
/* msg =   8559, deg =  6 */    746,   2894,   8164,  13726,  16934,  17559, 
/* msg =   8560, deg =  6 */   3920,   4427,   9294,  16254,  18275,  19206, 
/* msg =   8561, deg =  6 */    474,   1465,   1517,  10310,  14216,  19240, 
/* msg =   8562, deg =  6 */   6847,   8959,   9753,  11859,  17147,  17201, 
/* msg =   8563, deg =  6 */   4876,   5235,   7740,  14330,  14774,  19303, 
/* msg =   8564, deg =  6 */   1743,   4142,   5252,  11140,  16778,  19734, 
/* msg =   8565, deg =  6 */   4619,   7572,   8081,  12806,  14290,  17935, 
/* msg =   8566, deg =  6 */   6374,   8467,   8533,  17337,  18475,  19009, 
/* msg =   8567, deg =  6 */    339,   5477,   9566,  12166,  13187,  14055, 
/* msg =   8568, deg =  6 */    644,   5192,   7713,  11321,  12081,  13246, 
/* msg =   8569, deg =  6 */   2179,   5420,   6093,  10407,  11500,  12203, 
/* msg =   8570, deg =  6 */    511,   2866,   7138,  12362,  15857,  16429, 
/* msg =   8571, deg =  6 */   1102,   4158,   6925,  17877,  18521,  18552, 
/* msg =   8572, deg =  6 */    785,   7003,   8877,  11958,  13346,  18559, 
/* msg =   8573, deg =  6 */   1843,   2391,   3798,  17339,  17658,  18085, 
/* msg =   8574, deg =  6 */    133,   1065,   8965,  14224,  17789,  17929, 
/* msg =   8575, deg =  6 */   3649,   4516,   9988,  10644,  11521,  19380, 
/* msg =   8576, deg =  6 */     97,   4897,   8539,  11179,  12443,  15003, 
/* msg =   8577, deg =  6 */   2604,   4676,   7409,  12476,  13870,  14130, 
/* msg =   8578, deg =  6 */   3581,   5999,   7921,  11592,  11724,  14294, 
/* msg =   8579, deg =  6 */   1143,   1754,   9584,  11577,  14903,  16969, 
/* msg =   8580, deg =  6 */   3512,   7595,   7827,  10856,  13258,  19960, 
/* msg =   8581, deg =  6 */   1101,   3663,   4783,  13595,  16828,  19203, 
/* msg =   8582, deg =  6 */    122,   3840,   5807,  14141,  16098,  17497, 
/* msg =   8583, deg =  6 */    855,   1124,   1178,  14796,  15924,  16085, 
/* msg =   8584, deg =  6 */   6553,   7787,   8495,  10125,  12387,  17636, 
/* msg =   8585, deg =  6 */    270,   5569,   6068,  11536,  14042,  14439, 
/* msg =   8586, deg =  6 */   1722,   3267,   7044,  13044,  14222,  14836, 
/* msg =   8587, deg =  6 */     73,   2530,   8270,  12442,  12530,  19308, 
/* msg =   8588, deg =  6 */   1534,   4544,   9599,  15231,  17519,  19275, 
/* msg =   8589, deg =  6 */   5314,   6492,   9204,  13896,  14705,  18681, 
/* msg =   8590, deg =  6 */    128,   1922,   9100,  12359,  12871,  16288, 
/* msg =   8591, deg =  6 */   4632,   4708,   4817,  10982,  12078,  19772, 
/* msg =   8592, deg =  6 */    478,   4105,   6194,  10091,  10320,  12456, 
/* msg =   8593, deg =  6 */   1594,   3659,   6061,  12977,  14062,  19718, 
/* msg =   8594, deg =  6 */    236,   5518,   6159,  12688,  13276,  17447, 
/* msg =   8595, deg =  6 */    386,   5713,   6615,  14421,  15878,  18637, 
/* msg =   8596, deg =  6 */    963,   4948,   5712,  11606,  13765,  14255, 
/* msg =   8597, deg =  6 */    796,   2007,   8649,  13006,  15189,  17755, 
/* msg =   8598, deg =  6 */   7717,   8489,   8971,  11876,  13191,  19547, 
/* msg =   8599, deg =  6 */   3006,   3320,   8935,  11186,  12613,  15140, 
/* msg =   8600, deg =  6 */    554,   4199,   5192,  13654,  16148,  17386, 
/* msg =   8601, deg =  6 */   1078,   2868,   3894,  10577,  11046,  14243, 
/* msg =   8602, deg =  6 */   2105,   4157,   9893,  13372,  15151,  15850, 
/* msg =   8603, deg =  6 */   3316,   3503,   4013,  15010,  15589,  19477, 
/* msg =   8604, deg =  6 */   2089,   4203,   9862,  16866,  18947,  19091, 
/* msg =   8605, deg =  6 */   1225,   1959,   4307,  10809,  15736,  17266, 
/* msg =   8606, deg =  6 */   1285,   2409,   2488,  11862,  12544,  14016, 
/* msg =   8607, deg =  6 */   4172,   6648,   7031,  15395,  18875,  19667, 
/* msg =   8608, deg =  6 */   4566,   4568,   9792,  12661,  12960,  19008, 
/* msg =   8609, deg =  6 */   2004,   8204,   8915,  12921,  13411,  13988, 
/* msg =   8610, deg =  6 */   4545,   7937,   8345,  10882,  14457,  19327, 
/* msg =   8611, deg =  6 */   3469,   3790,   8821,  16086,  16155,  18509, 
/* msg =   8612, deg =  6 */   2068,   3797,   8506,  14131,  15569,  16503, 
/* msg =   8613, deg =  6 */    995,   7418,   7809,  12335,  17968,  18823, 
/* msg =   8614, deg =  6 */    165,   4023,   5829,  10290,  17195,  19004, 
/* msg =   8615, deg =  6 */   8260,   9606,   9725,  10412,  17459,  19687, 
/* msg =   8616, deg =  6 */   4411,   4580,   8887,  11758,  16433,  16794, 
/* msg =   8617, deg =  6 */   3198,   6517,   8368,  11120,  11783,  19757, 
/* msg =   8618, deg =  6 */   5951,   6382,   7074,  12483,  14128,  19657, 
/* msg =   8619, deg =  6 */    214,   1210,   9754,  11753,  11885,  13263, 
/* msg =   8620, deg =  6 */   1273,   2290,   7696,  10488,  12349,  13560, 
/* msg =   8621, deg =  6 */   7033,   8968,   9735,  13448,  14653,  17912, 
/* msg =   8622, deg =  6 */    682,   1766,   9414,  10783,  12291,  16105, 
/* msg =   8623, deg =  6 */   3987,   6615,   8800,  10597,  10879,  13342, 
/* msg =   8624, deg =  6 */   1644,   7152,   9527,  10373,  10683,  17476, 
/* msg =   8625, deg =  6 */   2825,   4196,   5076,  16180,  17246,  19270, 
/* msg =   8626, deg =  6 */    322,   7149,   8197,  14266,  16438,  18483, 
/* msg =   8627, deg =  6 */   2859,   6052,   7058,  16307,  18439,  18465, 
/* msg =   8628, deg =  6 */    702,   7491,   9711,  14825,  17732,  19037, 
/* msg =   8629, deg =  6 */   1398,   1911,   5831,  13498,  16493,  18529, 
/* msg =   8630, deg =  6 */   2501,   4275,   6104,  12914,  16826,  19975, 
/* msg =   8631, deg =  6 */   6057,   8928,   9437,  11732,  14064,  17537, 
/* msg =   8632, deg =  6 */   4478,   4525,   4920,  11599,  17116,  19872, 
/* msg =   8633, deg =  6 */   2161,   3720,   8989,  10860,  10899,  14627, 
/* msg =   8634, deg =  6 */    779,   3095,   8361,  10744,  15124,  19374, 
/* msg =   8635, deg =  6 */   1724,   6042,   9668,  10546,  17112,  19102, 
/* msg =   8636, deg =  6 */    774,    798,   8758,  15431,  18750,  18873, 
/* msg =   8637, deg =  6 */    620,   3755,   3773,  11272,  19157,  19720, 
/* msg =   8638, deg =  6 */    969,   2404,   5060,  16031,  16983,  18248, 
/* msg =   8639, deg =  6 */   2738,   7552,   9895,  13255,  14343,  19350, 
/* msg =   8640, deg =  6 */   3518,   3849,   8471,  13561,  15141,  16839, 
/* msg =   8641, deg =  6 */   2347,   6444,   9610,  10428,  12667,  15325, 
/* msg =   8642, deg =  6 */   1359,   1429,   1698,  11122,  14706,  14849, 
/* msg =   8643, deg =  6 */    443,   1541,   6909,  10099,  14144,  18410, 
/* msg =   8644, deg =  6 */   4037,   7629,   8699,  12514,  13075,  19190, 
/* msg =   8645, deg =  6 */    591,   8576,   9553,  10536,  11948,  15406, 
/* msg =   8646, deg =  6 */   1215,   2657,   9581,  12834,  13174,  17650, 
/* msg =   8647, deg =  6 */    428,   4493,   5809,  13271,  18682,  18941, 
/* msg =   8648, deg =  6 */   2132,   6092,   8504,  10132,  15050,  16572, 
/* msg =   8649, deg =  6 */    805,   2977,   7917,  15409,  15538,  18252, 
/* msg =   8650, deg =  6 */   2292,   4231,   6035,  11692,  12336,  15535, 
/* msg =   8651, deg =  6 */   1097,   5231,   7540,  10713,  12244,  17454, 
/* msg =   8652, deg =  6 */   2808,   2991,   5008,  12431,  16787,  19049, 
/* msg =   8653, deg =  6 */    557,   4048,   7655,  11004,  16117,  16484, 
/* msg =   8654, deg =  6 */   3216,   3813,   6692,  12348,  14495,  17596, 
/* msg =   8655, deg =  6 */   3227,   3993,   6371,  10096,  14293,  18914, 
/* msg =   8656, deg =  6 */   4437,   6042,   7526,  11142,  17584,  18325, 
/* msg =   8657, deg =  6 */   3084,   4689,   7861,  16062,  17178,  19048, 
/* msg =   8658, deg =  6 */   1780,   4786,   5891,  13050,  13178,  14255, 
/* msg =   8659, deg =  6 */   1924,   5225,   5889,  18385,  19488,  19509, 
/* msg =   8660, deg =  6 */     45,   5566,   6055,  11672,  11975,  17698, 
/* msg =   8661, deg =  6 */   4853,   5611,   8253,  11306,  11768,  19915, 
/* msg =   8662, deg =  6 */   1125,   3501,   6401,  11019,  19013,  19451, 
/* msg =   8663, deg =  6 */   3128,   5841,   7549,  13120,  14726,  19106, 
/* msg =   8664, deg =  6 */   3165,   4321,   6083,  12454,  17173,  18340, 
/* msg =   8665, deg =  6 */   1320,   1864,   3812,  10369,  14607,  14687, 
/* msg =   8666, deg =  6 */   1166,   1218,   2278,  10496,  11168,  15201, 
/* msg =   8667, deg =  6 */   1968,   7157,   8342,  13290,  16890,  19750, 
/* msg =   8668, deg =  6 */   3676,   3792,   5284,  10253,  14695,  19559, 
/* msg =   8669, deg =  6 */   2802,   3155,   8436,  10518,  14929,  19790, 
/* msg =   8670, deg =  6 */   2800,   4327,   8408,  11128,  16020,  17377, 
/* msg =   8671, deg =  6 */    826,    879,   5846,  11009,  15519,  16922, 
/* msg =   8672, deg =  6 */   4144,   7310,   9146,  10096,  19504,  19657, 
/* msg =   8673, deg =  6 */   4974,   5199,   5813,  13479,  15064,  17597, 
/* msg =   8674, deg =  6 */   6620,   7408,   8261,  10123,  13714,  14446, 
/* msg =   8675, deg =  6 */   2332,   3824,   6979,  11571,  13491,  16229, 
/* msg =   8676, deg =  6 */   1868,   2534,   8518,  10273,  13415,  14076, 
/* msg =   8677, deg =  6 */   1810,   2054,   8663,  12692,  14615,  16192, 
/* msg =   8678, deg =  6 */    239,    736,    928,  10684,  12925,  13853, 
/* msg =   8679, deg =  6 */   2789,   6890,   8871,  10418,  10584,  18718, 
/* msg =   8680, deg =  6 */   2081,   4557,   6139,  13574,  18060,  19985, 
/* msg =   8681, deg =  6 */    460,   4290,   4719,  14690,  16010,  19388, 
/* msg =   8682, deg =  6 */   4171,   6787,   8997,  11375,  15313,  19782, 
/* msg =   8683, deg =  6 */    920,   2306,   3633,  10054,  13782,  14320, 
/* msg =   8684, deg =  6 */    165,    333,   1624,  11085,  12891,  19783, 
/* msg =   8685, deg =  6 */   2772,   3726,   5353,  11394,  16271,  18315, 
/* msg =   8686, deg =  6 */   3757,   4031,   5121,  17005,  18640,  18829, 
/* msg =   8687, deg =  6 */   2919,   5629,   6827,  14801,  16161,  19432, 
/* msg =   8688, deg =  6 */    441,   5816,   9535,  14162,  16546,  18398, 
/* msg =   8689, deg =  6 */    949,    990,   1190,  15897,  16585,  19288, 
/* msg =   8690, deg =  6 */   3191,   8574,   8948,  13991,  14834,  16760, 
/* msg =   8691, deg =  6 */   5117,   5710,   8053,  10887,  11327,  19042, 
/* msg =   8692, deg =  6 */   2036,   6941,   9525,  10347,  10702,  16703, 
/* msg =   8693, deg =  6 */   2217,   6402,   9264,  10932,  15429,  18962, 
/* msg =   8694, deg =  6 */   6597,   9082,   9457,  11722,  13079,  15577, 
/* msg =   8695, deg =  6 */   2484,   2690,   8873,  12061,  13236,  15046, 
/* msg =   8696, deg =  6 */    230,   2630,   3116,  11225,  14142,  17852, 
/* msg =   8697, deg =  6 */   2905,   4692,   5415,  10715,  11073,  18867, 
/* msg =   8698, deg =  6 */    955,   1631,   1689,  11957,  15350,  18125, 
/* msg =   8699, deg =  6 */   2122,   4352,   4405,  13221,  18862,  18923, 
/* msg =   8700, deg =  6 */   1813,   4639,   5515,  14571,  16968,  19360, 
/* msg =   8701, deg =  6 */      2,   4859,   9847,  11330,  11728,  17964, 
/* msg =   8702, deg =  6 */   1610,   2468,   4009,  14086,  14567,  16477, 
/* msg =   8703, deg =  6 */   7037,   8607,   9707,  10283,  14518,  15469, 
/* msg =   8704, deg =  6 */    568,   1056,   6828,  10146,  12362,  16170, 
/* msg =   8705, deg =  6 */    805,   6426,   7259,  14199,  15968,  16517, 
/* msg =   8706, deg =  6 */    873,   3513,   5578,  10470,  10573,  14601, 
/* msg =   8707, deg =  6 */   1860,   6872,   9828,  11631,  15771,  16755, 
/* msg =   8708, deg =  6 */   1682,   2743,   5548,  11685,  12634,  15106, 
/* msg =   8709, deg =  6 */   2435,   2797,   3952,  10130,  11558,  13424, 
/* msg =   8710, deg =  6 */   3245,   3945,   5103,  11346,  11415,  17509, 
/* msg =   8711, deg =  6 */    665,   3120,   9609,  13027,  13324,  14865, 
/* msg =   8712, deg =  6 */   1821,   5679,   8519,  10214,  15110,  17896, 
/* msg =   8713, deg =  6 */   5320,   6581,   7642,  10665,  18298,  19713, 
/* msg =   8714, deg =  6 */   5031,   6959,   7421,  10184,  12076,  19877, 
/* msg =   8715, deg =  6 */   8039,   8737,   9218,  11069,  15372,  16905, 
/* msg =   8716, deg =  6 */   1639,   5531,   6238,  13901,  15483,  19732, 
/* msg =   8717, deg =  6 */    932,   5257,   6504,  14514,  15933,  17427, 
/* msg =   8718, deg =  6 */   2069,   7447,   9677,  14100,  14428,  17973, 
/* msg =   8719, deg =  6 */   2903,   7582,   8448,  12495,  15568,  17409, 
/* msg =   8720, deg =  6 */   3576,   5844,   8995,  15127,  16955,  19510, 
/* msg =   8721, deg =  6 */    587,   5539,   7677,  14416,  15388,  16869, 
/* msg =   8722, deg =  6 */    327,    592,   2045,  16532,  18257,  19519, 
/* msg =   8723, deg =  6 */    372,   4554,   9845,  14863,  17513,  18071, 
/* msg =   8724, deg =  6 */   1220,   2703,   9511,  16991,  17086,  19116, 
/* msg =   8725, deg =  6 */   3700,   4947,   8950,  10325,  12012,  18172, 
/* msg =   8726, deg =  6 */   7076,   7995,   9533,  16375,  17629,  18844, 
/* msg =   8727, deg =  6 */    291,   1551,   2790,  16520,  18611,  18908, 
/* msg =   8728, deg =  6 */    342,   8527,   9664,  12572,  17706,  18532, 
/* msg =   8729, deg =  6 */    792,   4322,   5099,  12426,  17059,  18081, 
/* msg =   8730, deg =  6 */   6486,   7811,   8536,  16251,  18234,  18445, 
/* msg =   8731, deg =  6 */   4703,   5632,   9901,  10230,  17396,  18771, 
/* msg =   8732, deg =  6 */   3202,   7415,   8540,  12155,  13149,  17625, 
/* msg =   8733, deg =  6 */    693,   3783,   5236,  18210,  19813,  19957, 
/* msg =   8734, deg =  6 */   1864,   6793,   7948,  15975,  17019,  18925, 
/* msg =   8735, deg =  6 */   5213,   8086,   9444,  13104,  14371,  16124, 
/* msg =   8736, deg =  6 */   1245,   1383,   1568,  11162,  15807,  17862, 
/* msg =   8737, deg =  6 */   1180,   6135,   9102,  13666,  15168,  17786, 
/* msg =   8738, deg =  6 */   3987,   5943,   8620,  14737,  15024,  15236, 
/* msg =   8739, deg =  6 */     47,   1817,   8592,  11068,  12670,  18505, 
/* msg =   8740, deg =  6 */   5070,   5311,   7744,  10316,  18333,  19156, 
/* msg =   8741, deg =  6 */    328,   9167,   9805,  14959,  15002,  16687, 
/* msg =   8742, deg =  6 */   2733,   5346,   7779,  10909,  12458,  13223, 
/* msg =   8743, deg =  6 */   2596,   3183,   3642,  12746,  18687,  19586, 
/* msg =   8744, deg =  6 */   3292,   7105,   7932,  14200,  14254,  17120, 
/* msg =   8745, deg =  6 */   1885,   8854,   8942,  15882,  17170,  18116, 
/* msg =   8746, deg =  6 */   4646,   6240,   7511,  15383,  16914,  18071, 
/* msg =   8747, deg =  6 */    571,   2234,   6926,  10423,  14477,  16815, 
/* msg =   8748, deg =  6 */   2922,   5871,   9674,  10616,  11332,  12011, 
/* msg =   8749, deg =  6 */   4069,   5379,   6765,  12156,  18143,  19391, 
/* msg =   8750, deg =  6 */    941,   7193,   9862,  11322,  13633,  18132, 
/* msg =   8751, deg =  6 */    399,    472,   9355,  15102,  15437,  15770, 
/* msg =   8752, deg =  6 */   2280,   6230,   7993,  12917,  14624,  19562, 
/* msg =   8753, deg =  6 */   2138,   2581,   7129,  11435,  12019,  14339, 
/* msg =   8754, deg =  6 */   4370,   4647,   7318,  10921,  11351,  15193, 
/* msg =   8755, deg =  6 */   5788,   6666,   7394,  11089,  12092,  18276, 
/* msg =   8756, deg =  6 */   1452,   3447,   4767,  11094,  19020,  19556, 
/* msg =   8757, deg =  6 */    685,   1059,   1774,  13473,  15680,  17022, 
/* msg =   8758, deg =  6 */    255,   1146,   7436,  10080,  16865,  19194, 
/* msg =   8759, deg =  6 */    413,   2454,   4575,  12151,  12183,  16588, 
/* msg =   8760, deg =  6 */   4477,   9312,   9528,  14252,  15506,  17235, 
/* msg =   8761, deg =  6 */   1644,   5107,   8060,  10035,  11107,  19644, 
/* msg =   8762, deg =  6 */   1340,   6054,   9540,  10216,  14689,  18655, 
/* msg =   8763, deg =  6 */    494,    997,   1996,  13383,  14544,  15454, 
/* msg =   8764, deg =  6 */    244,   6703,   7196,  10189,  10768,  11507, 
/* msg =   8765, deg =  6 */    697,   3219,   9084,  14421,  14985,  18455, 
/* msg =   8766, deg =  6 */   6438,   8323,   9930,  12762,  15978,  17395, 
/* msg =   8767, deg =  6 */   1539,   7058,   8463,  11835,  13565,  19384, 
/* msg =   8768, deg =  6 */   5679,   6138,   7533,  12700,  13096,  14757, 
/* msg =   8769, deg =  6 */   3708,   6767,   9704,  15186,  19046,  19602, 
/* msg =   8770, deg =  6 */   3482,   4447,   7117,  10209,  11760,  17646, 
/* msg =   8771, deg =  6 */   3394,   4772,   6254,  13036,  16887,  17502, 
/* msg =   8772, deg =  6 */   4053,   4395,   9858,  11715,  14047,  16856, 
/* msg =   8773, deg =  6 */   3029,   8095,   8285,  10735,  15027,  19946, 
/* msg =   8774, deg =  6 */   2507,   2835,   5127,  16016,  18728,  18836, 
/* msg =   8775, deg =  6 */   3929,   5634,   8960,  11687,  12211,  15031, 
/* msg =   8776, deg =  6 */   1508,   5020,   5931,  13001,  19131,  19489, 
/* msg =   8777, deg =  6 */   2498,   4205,   7504,  10705,  12349,  14058, 
/* msg =   8778, deg =  6 */    388,   1165,   1795,  18292,  18675,  19904, 
/* msg =   8779, deg =  6 */   7248,   8219,   8672,  12721,  14319,  15737, 
/* msg =   8780, deg =  6 */    123,   3305,   6786,  11058,  18720,  19320, 
/* msg =   8781, deg =  6 */    186,   1135,   8650,  10531,  13928,  15684, 
/* msg =   8782, deg =  6 */   5007,   8933,   9221,  17182,  19292,  19592, 
/* msg =   8783, deg =  6 */    981,   2662,   2834,  11364,  13544,  16053, 
/* msg =   8784, deg =  6 */   2664,   5358,   7137,  15787,  16065,  17279, 
/* msg =   8785, deg =  6 */    280,   2039,   5156,  14352,  17869,  18821, 
/* msg =   8786, deg =  6 */   1476,   3385,   4174,  10544,  17457,  17555, 
/* msg =   8787, deg =  6 */     91,   6539,   6543,  10310,  10946,  15240, 
/* msg =   8788, deg =  6 */   1544,   6561,   7205,  10923,  11172,  15418, 
/* msg =   8789, deg =  6 */   3235,   6395,   9364,  10814,  15251,  17803, 
/* msg =   8790, deg =  6 */    604,   7486,   8244,  17753,  19458,  19676, 
/* msg =   8791, deg =  6 */    820,   3828,   9570,  11496,  13911,  16591, 
/* msg =   8792, deg =  6 */   2440,   7416,   8725,  11811,  17264,  17946, 
/* msg =   8793, deg =  6 */   3876,   8087,   9177,  10685,  16245,  16594, 
/* msg =   8794, deg =  6 */    556,   2373,   3186,  10338,  11895,  19938, 
/* msg =   8795, deg =  6 */    434,   2876,   4653,  11972,  14395,  15815, 
/* msg =   8796, deg =  6 */   1156,   4354,   7027,  13716,  19837,  19984, 
/* msg =   8797, deg =  6 */   1053,   1786,   3647,  10506,  18738,  18885, 
/* msg =   8798, deg =  6 */    596,   4635,   9281,  18834,  19156,  19704, 
/* msg =   8799, deg =  6 */    593,   5121,   7617,  14961,  17594,  18873, 
/* msg =   8800, deg =  6 */    253,   5264,   8411,  12642,  17122,  17255, 
/* msg =   8801, deg =  6 */   2910,   4978,   6734,  13245,  16725,  19505, 
/* msg =   8802, deg =  6 */     54,   9316,   9483,  11632,  15420,  15824, 
/* msg =   8803, deg =  6 */    331,   1455,   7996,  10908,  11245,  18259, 
/* msg =   8804, deg =  6 */     67,   2390,   3302,  14715,  15690,  18666, 
/* msg =   8805, deg =  6 */    116,   3231,   3714,  10485,  11755,  16499, 
/* msg =   8806, deg =  6 */   4571,   5145,   8834,  11971,  13260,  13678, 
/* msg =   8807, deg =  6 */    935,   2728,   3712,  12818,  14604,  17291, 
/* msg =   8808, deg =  6 */   4840,   7439,   9388,  15218,  15229,  17105, 
/* msg =   8809, deg =  6 */    507,   1201,   9637,  15270,  16156,  18657, 
/* msg =   8810, deg =  6 */   1652,   7565,   7759,  14935,  16827,  19667, 
/* msg =   8811, deg =  6 */   1516,   6518,   9253,  10018,  10142,  10700, 
/* msg =   8812, deg =  6 */     40,   1971,   9011,  11144,  11717,  19633, 
/* msg =   8813, deg =  6 */   9295,   9434,   9886,  11323,  14476,  18343, 
/* msg =   8814, deg =  6 */   2167,   2905,   7707,  11537,  16074,  17058, 
/* msg =   8815, deg =  6 */   2990,   4022,   8327,  15733,  16360,  18127, 
/* msg =   8816, deg =  6 */   1982,   2978,   8391,  12523,  16471,  19146, 
/* msg =   8817, deg =  6 */   1105,   3075,   6932,  10697,  14333,  16450, 
/* msg =   8818, deg =  6 */   1775,   1834,   6057,  12386,  15690,  18165, 
/* msg =   8819, deg =  6 */   1935,   5152,   5986,  10849,  13835,  17070, 
/* msg =   8820, deg =  6 */   3977,   5924,   7319,  11568,  14525,  15440, 
/* msg =   8821, deg =  6 */   1283,   8400,   8802,  10818,  12909,  12979, 
/* msg =   8822, deg =  6 */   7448,   9462,   9722,  12422,  14260,  15775, 
/* msg =   8823, deg =  6 */   2197,   3083,   3776,  12986,  16982,  17362, 
/* msg =   8824, deg =  6 */   1619,   4780,   5070,  10861,  12562,  18732, 
/* msg =   8825, deg =  6 */     86,    512,   8246,  10234,  11981,  15392, 
/* msg =   8826, deg =  6 */   1282,   2137,   8572,  12597,  12966,  13699, 
/* msg =   8827, deg =  6 */    231,    726,   4034,  10913,  12163,  13587, 
/* msg =   8828, deg =  6 */   5166,   5448,   7080,  11966,  15754,  19616, 
/* msg =   8829, deg =  6 */    353,   1774,   4928,  13018,  19356,  19738, 
/* msg =   8830, deg =  6 */    261,   2478,   4717,  11435,  12382,  15287, 
/* msg =   8831, deg =  6 */   1275,   1593,   8718,  10472,  13586,  14177, 
/* msg =   8832, deg =  6 */   1651,   6425,   7857,  10680,  11011,  14806, 
/* msg =   8833, deg =  6 */    787,   2788,   8305,  11082,  14756,  16422, 
/* msg =   8834, deg =  6 */    965,   2047,   6388,  10809,  12381,  15952, 
/* msg =   8835, deg =  6 */   3832,   6276,   7344,  11405,  15055,  15861, 
/* msg =   8836, deg =  6 */   3462,   5670,   8973,  12488,  12500,  19112, 
/* msg =   8837, deg =  6 */     16,   5360,   8332,  11509,  12072,  17161, 
/* msg =   8838, deg =  6 */    181,   6732,   7434,  12713,  17626,  18014, 
/* msg =   8839, deg =  6 */   1393,   5773,   9796,  13183,  15242,  16591, 
/* msg =   8840, deg =  6 */   1508,   5152,   6465,  11083,  13319,  17422, 
/* msg =   8841, deg =  6 */   2662,   5936,   9912,  12333,  17099,  17565, 
/* msg =   8842, deg =  6 */    400,   1813,   6402,  14125,  15700,  18950, 
/* msg =   8843, deg =  6 */   3114,   7028,   8402,  14133,  16260,  19639, 
/* msg =   8844, deg =  6 */   3381,   4156,   9356,  11379,  12541,  17707, 
/* msg =   8845, deg =  6 */   1649,   7019,   8598,  15095,  15339,  18832, 
/* msg =   8846, deg =  6 */    943,   1114,   6459,  10765,  12021,  17954, 
/* msg =   8847, deg =  6 */   6396,   6876,   9216,  10397,  12611,  14174, 
/* msg =   8848, deg =  6 */     68,   2125,   2552,  12743,  14608,  15781, 
/* msg =   8849, deg =  6 */   3271,   5451,   9372,  13193,  13197,  19322, 
/* msg =   8850, deg =  6 */    673,   4629,   7868,  11133,  16035,  17935, 
/* msg =   8851, deg =  6 */   2411,   3457,   9652,  13058,  14016,  16095, 
/* msg =   8852, deg =  6 */    788,   1535,   6091,  13359,  14269,  17900, 
/* msg =   8853, deg =  6 */   4590,   9350,   9668,  10256,  13494,  17445, 
/* msg =   8854, deg =  6 */   4077,   4875,   6136,  11668,  15851,  18476, 
/* msg =   8855, deg =  6 */    249,   2066,   7590,  14808,  19484,  19617, 
/* msg =   8856, deg =  6 */    751,   3486,   8437,  12939,  17662,  19775, 
/* msg =   8857, deg =  6 */    315,   3300,   7594,  12584,  15187,  18234, 
/* msg =   8858, deg =  6 */    386,   7629,   9186,  10178,  11265,  19210, 
/* msg =   8859, deg =  6 */   3536,   7673,   9994,  14136,  15179,  15224, 
/* msg =   8860, deg =  6 */   5878,   6487,   6834,  10520,  10943,  16724, 
/* msg =   8861, deg =  6 */   4991,   7361,   8713,  13690,  16062,  19243, 
/* msg =   8862, deg =  6 */    358,   1942,   6579,  13448,  14378,  16968, 
/* msg =   8863, deg =  6 */   1098,   5685,   7574,  11786,  14925,  18995, 
/* msg =   8864, deg =  6 */    108,   3377,   6472,  16726,  18121,  18548, 
/* msg =   8865, deg =  6 */   3719,   4602,   4804,  18831,  19544,  19604, 
/* msg =   8866, deg =  6 */   3670,   7945,   8955,  11543,  13452,  14560, 
/* msg =   8867, deg =  6 */   2469,   5707,   7761,  12329,  14635,  17542, 
/* msg =   8868, deg =  6 */   1523,   6088,   7156,  11207,  16607,  16830, 
/* msg =   8869, deg =  6 */     98,    424,   7826,  14435,  16194,  18008, 
/* msg =   8870, deg =  6 */   1919,   2206,   8082,  13054,  14057,  18744, 
/* msg =   8871, deg =  6 */   4693,   7579,   8468,  10509,  12594,  13060, 
/* msg =   8872, deg =  6 */   2469,   7959,   9266,  10617,  11587,  14342, 
/* msg =   8873, deg =  6 */   2084,   7522,   8804,  11150,  11891,  15715, 
/* msg =   8874, deg =  6 */    958,   2669,   5027,  10687,  11779,  14150, 
/* msg =   8875, deg =  6 */   4970,   5745,   7585,  10010,  16601,  17072, 
/* msg =   8876, deg =  6 */   6012,   9229,   9920,  16664,  18588,  19580, 
/* msg =   8877, deg =  6 */   1794,   7343,   7966,  10143,  17638,  18099, 
/* msg =   8878, deg =  6 */   3028,   4758,   9383,  13992,  19522,  19648, 
/* msg =   8879, deg =  6 */   2628,   4873,   6357,  11774,  19325,  19579, 
/* msg =   8880, deg =  6 */   2831,   4002,   4861,  12511,  13876,  15904, 
/* msg =   8881, deg =  6 */   3342,   5180,   6768,  14605,  18477,  19512, 
/* msg =   8882, deg =  6 */   3712,   4801,   7878,  17010,  19035,  19887, 
/* msg =   8883, deg =  6 */    569,   4009,   6268,  11626,  17557,  19570, 
/* msg =   8884, deg =  6 */   3947,   5262,   6379,  11474,  11587,  11907, 
/* msg =   8885, deg =  6 */    348,   5220,   9462,  12555,  13034,  18665, 
/* msg =   8886, deg =  6 */   2909,   3421,   4281,  10511,  11479,  11845, 
/* msg =   8887, deg =  6 */    232,   8358,   9873,  14906,  16889,  17724, 
/* msg =   8888, deg =  6 */   3494,   6895,   9638,  10386,  10701,  17255, 
/* msg =   8889, deg =  6 */   4337,   6018,   6512,  12271,  16801,  16864, 
/* msg =   8890, deg =  6 */   5362,   9198,   9682,  14578,  14738,  17019, 
/* msg =   8891, deg =  6 */   1115,   4691,   9852,  10615,  12373,  19026, 
/* msg =   8892, deg =  6 */   1894,   6994,   9961,  10030,  12167,  12571, 
/* msg =   8893, deg =  6 */   2768,   3898,   4894,  10194,  17829,  19892, 
/* msg =   8894, deg =  6 */    462,    529,   7102,  12377,  14306,  17713, 
/* msg =   8895, deg =  6 */   1850,   3126,   6064,  14272,  15087,  18557, 
/* msg =   8896, deg =  6 */   1120,   1185,   6559,  11262,  16088,  16741, 
/* msg =   8897, deg =  6 */   1270,   3206,   9977,  14193,  14533,  14709, 
/* msg =   8898, deg =  6 */   1582,   5084,   5948,  13698,  17229,  18122, 
/* msg =   8899, deg =  6 */   2932,   5328,   8552,  10682,  11638,  17823, 
/* msg =   8900, deg =  6 */   1634,   5136,   5857,  15262,  15299,  19628, 
/* msg =   8901, deg =  6 */   3335,   4977,   9144,  14591,  19406,  19770, 
/* msg =   8902, deg =  6 */    406,    556,   8481,  14112,  14336,  17290, 
/* msg =   8903, deg =  6 */   2378,   4723,   8103,  10890,  15825,  17911, 
/* msg =   8904, deg =  6 */   1702,   4186,   5056,  11796,  15628,  17464, 
/* msg =   8905, deg =  6 */   3650,   4380,   8022,  11481,  16649,  19139, 
/* msg =   8906, deg =  6 */   1481,   3456,   6207,  15922,  16399,  19480, 
/* msg =   8907, deg =  6 */    331,   6131,   8790,  12793,  18542,  19346, 
/* msg =   8908, deg =  6 */   1942,   3861,   4538,  10012,  12464,  18397, 
/* msg =   8909, deg =  6 */   4308,   7306,   9364,  13860,  15987,  19090, 
/* msg =   8910, deg =  6 */   3904,   5585,   6184,  11819,  12897,  14389, 
/* msg =   8911, deg =  6 */   2031,   8366,   8876,  16714,  18057,  18148, 
/* msg =   8912, deg =  6 */     86,   2078,   7217,  12557,  18745,  19557, 
/* msg =   8913, deg =  6 */   2664,   2771,   6939,  10869,  15739,  19796, 
/* msg =   8914, deg =  6 */      7,   5110,   8325,  13084,  15346,  17272, 
/* msg =   8915, deg =  6 */   1088,   1271,   9648,  13265,  14622,  19994, 
/* msg =   8916, deg =  6 */   1427,   3645,   3970,  11318,  11671,  12278, 
/* msg =   8917, deg =  6 */   1228,   3105,   9579,  15089,  15169,  19102, 
/* msg =   8918, deg =  6 */   2008,   3101,   4012,  12570,  15868,  16522, 
/* msg =   8919, deg =  6 */    856,   8378,   9412,  14292,  17745,  18097, 
/* msg =   8920, deg =  6 */   3308,   6812,   7119,  13082,  13920,  18019, 
/* msg =   8921, deg =  6 */   3365,   4747,   7437,  12418,  13358,  16397, 
/* msg =   8922, deg =  6 */   1459,   4253,   4714,  12589,  15293,  19502, 
/* msg =   8923, deg =  6 */    168,   3140,   6931,  15007,  16917,  18077, 
/* msg =   8924, deg =  6 */   5966,   5985,   6113,  11129,  12374,  14809, 
/* msg =   8925, deg =  6 */   1054,   1735,   8430,  13291,  14077,  19475, 
/* msg =   8926, deg =  6 */   1654,   4809,   5036,  10346,  14347,  17854, 
/* msg =   8927, deg =  6 */   1408,   1529,   6310,  10986,  12316,  17411, 
/* msg =   8928, deg =  6 */    244,   2596,   3528,  10700,  14717,  15479, 
/* msg =   8929, deg =  6 */    966,   4819,   9047,  15326,  15733,  18408, 
/* msg =   8930, deg =  6 */    546,   5725,   9734,  11080,  12877,  16116, 
/* msg =   8931, deg =  6 */   3716,   7065,   9104,  11985,  13544,  18439, 
/* msg =   8932, deg =  6 */   2781,   9023,   9967,  12613,  18529,  19089, 
/* msg =   8933, deg =  6 */   5660,   5746,   7954,  13767,  18818,  19355, 
/* msg =   8934, deg =  6 */   1137,   3704,   5779,  10924,  18739,  19557, 
/* msg =   8935, deg =  6 */   2810,   6548,   8189,  10122,  14024,  15177, 
/* msg =   8936, deg =  6 */   6006,   7973,   8146,  11220,  14603,  19670, 
/* msg =   8937, deg =  6 */   1636,   3266,   8306,  11018,  11844,  15566, 
/* msg =   8938, deg =  6 */   1909,   5397,   7290,  11423,  15225,  16431, 
/* msg =   8939, deg =  6 */   6915,   7452,   9829,  12129,  14588,  18765, 
/* msg =   8940, deg =  6 */    421,   5316,   9558,  13728,  16221,  16273, 
/* msg =   8941, deg =  6 */   4748,   6734,   8928,  12901,  15883,  16828, 
/* msg =   8942, deg =  6 */    610,   6644,   8711,  10192,  12561,  13766, 
/* msg =   8943, deg =  6 */   3371,   5454,   6406,  10405,  16649,  17237, 
/* msg =   8944, deg =  6 */   2759,   4199,   9096,  11743,  12071,  12802, 
/* msg =   8945, deg =  6 */   3149,   9791,   9979,  15396,  16820,  17370, 
/* msg =   8946, deg =  6 */   1576,   2268,   6547,  14165,  15407,  19418, 
/* msg =   8947, deg =  6 */   2760,   3293,   7778,  16545,  18677,  19949, 
/* msg =   8948, deg =  6 */   1493,   2057,   7858,  11447,  16521,  19954, 
/* msg =   8949, deg =  6 */   3335,   7087,   8469,  13600,  14649,  17559, 
/* msg =   8950, deg =  6 */   3737,   7521,   8141,  12744,  14030,  19522, 
/* msg =   8951, deg =  6 */    377,   2742,   2923,  14085,  14899,  15855, 
/* msg =   8952, deg =  6 */   2150,   3184,   4299,  12405,  17043,  18792, 
/* msg =   8953, deg =  6 */   4059,   4254,   9872,  10899,  12403,  13158, 
/* msg =   8954, deg =  6 */    247,   6452,   9487,  11052,  17173,  17703, 
/* msg =   8955, deg =  6 */   2381,   2800,   5018,  14338,  15290,  17236, 
/* msg =   8956, deg =  6 */   7159,   8623,   9931,  11307,  15252,  15752, 
/* msg =   8957, deg =  6 */   4012,   6140,   7932,  10451,  18182,  19174, 
/* msg =   8958, deg =  6 */   6465,   7638,   9797,  13204,  15794,  15911, 
/* msg =   8959, deg =  6 */   2519,   3391,   4271,  17351,  19761,  19788, 
/* msg =   8960, deg =  6 */   4976,   6736,   9801,  11022,  13936,  17397, 
/* msg =   8961, deg =  6 */    402,   4886,   7551,  17932,  19311,  19489, 
/* msg =   8962, deg =  6 */   4638,   6227,   9496,  10180,  13359,  16310, 
/* msg =   8963, deg =  6 */   6605,   6924,   7747,  13576,  15168,  15801, 
/* msg =   8964, deg =  6 */   3517,   5438,   5688,  10805,  11035,  12675, 
/* msg =   8965, deg =  6 */   2636,   4537,   5911,  12424,  16211,  16460, 
/* msg =   8966, deg =  6 */   1345,   7026,   7685,  15513,  17775,  18900, 
/* msg =   8967, deg =  6 */   1467,   5687,   7478,  15174,  17494,  19370, 
/* msg =   8968, deg =  6 */   4259,   7721,   8118,  11294,  11343,  16792, 
/* msg =   8969, deg =  6 */    890,   3825,   4033,  13170,  16581,  19155, 
/* msg =   8970, deg =  6 */   2259,   5213,   5795,  10329,  10330,  11570, 
/* msg =   8971, deg =  6 */   1898,   7233,   7637,  13836,  14770,  15049, 
/* msg =   8972, deg =  6 */   3681,   5364,   9242,  14633,  16906,  19383, 
/* msg =   8973, deg =  6 */   2179,   5227,   8457,  10641,  17160,  19823, 
/* msg =   8974, deg =  6 */   3767,   4559,   6088,  10249,  14939,  15106, 
/* msg =   8975, deg =  6 */   1433,   2284,   6817,  14391,  15785,  15864, 
/* msg =   8976, deg =  6 */   3084,   5802,   9902,  14147,  16540,  18796, 
/* msg =   8977, deg =  6 */   2074,   4198,   9648,  16552,  17763,  18367, 
/* msg =   8978, deg =  6 */   1636,   3710,   4888,  13397,  16147,  19128, 
/* msg =   8979, deg =  6 */   1048,   5125,   6695,  14926,  15073,  17977, 
/* msg =   8980, deg =  6 */   1941,   1963,   8336,  11492,  16961,  18924, 
/* msg =   8981, deg =  6 */   3020,   5430,   7774,  15969,  17610,  18377, 
/* msg =   8982, deg =  6 */   2408,   3800,   8432,  11978,  15550,  18996, 
/* msg =   8983, deg =  6 */    908,   3094,   6147,  13613,  14043,  14898, 
/* msg =   8984, deg =  6 */    326,   4642,   4707,  16367,  18303,  18561, 
/* msg =   8985, deg =  6 */    308,   6005,   6306,  10335,  14248,  16342, 
/* msg =   8986, deg =  6 */    932,   5682,   9105,  11232,  13022,  14097, 
/* msg =   8987, deg =  6 */    833,   2324,   8715,  10596,  17197,  19297, 
/* msg =   8988, deg =  6 */    102,   3352,   5617,  10333,  13055,  17389, 
/* msg =   8989, deg =  6 */   2173,   4081,   7785,  11062,  14391,  19793, 
/* msg =   8990, deg =  6 */   3180,   4359,   4597,  14809,  16033,  19998, 
/* msg =   8991, deg =  6 */   5465,   7820,   8058,  13097,  17012,  17194, 
/* msg =   8992, deg =  6 */   3519,   5467,   9009,  11962,  12338,  17909, 
/* msg =   8993, deg =  6 */   5560,   7730,   8098,  11807,  15906,  19567, 
/* msg =   8994, deg =  6 */   1994,   2094,   7944,  13523,  18136,  18815, 
/* msg =   8995, deg =  6 */   1432,   6801,   9013,  10817,  15597,  18150, 
/* msg =   8996, deg =  6 */   2856,   4987,   5311,  14354,  18086,  19919, 
/* msg =   8997, deg =  6 */   6609,   9248,   9823,  12399,  14038,  16086, 
/* msg =   8998, deg =  6 */    213,    837,   7488,  10712,  18375,  19701, 
/* msg =   8999, deg =  6 */   4694,   9764,   9832,  11283,  14256,  19492, 
/* msg =   9000, deg =  6 */     38,   6979,   7659,  14274,  17116,  18694, 
/* msg =   9001, deg =  6 */   1354,   5851,   9909,  10873,  11955,  18958, 
/* msg =   9002, deg =  6 */   2254,   2812,   3863,  11328,  15867,  18575, 
/* msg =   9003, deg =  6 */    617,   8170,   8965,  11204,  14534,  16228, 
/* msg =   9004, deg =  6 */   2806,   3040,   7034,  16404,  16693,  18356, 
/* msg =   9005, deg =  6 */   2938,   5030,   6727,  11599,  12716,  17903, 
/* msg =   9006, deg =  6 */   3267,   4784,   7738,  11532,  18269,  19846, 
/* msg =   9007, deg =  6 */   7203,   8078,   9978,  10978,  11583,  13832, 
/* msg =   9008, deg =  6 */   4177,   6873,   8728,  10555,  17885,  18930, 
/* msg =   9009, deg =  6 */    748,   3968,   7702,  16912,  17491,  17567, 
/* msg =   9010, deg =  6 */   2190,   4808,   6572,  11340,  16810,  19503, 
/* msg =   9011, deg =  6 */   1941,   1947,   6041,  10472,  11404,  18766, 
/* msg =   9012, deg =  6 */   2295,   3118,   8161,  10611,  16542,  18427, 
/* msg =   9013, deg =  6 */   4835,   5351,   6656,  12749,  19556,  19705, 
/* msg =   9014, deg =  6 */    706,   5220,   6646,  12043,  13306,  19758, 
/* msg =   9015, deg =  6 */   3991,   4738,   9980,  13026,  15207,  19176, 
/* msg =   9016, deg =  6 */    915,   3822,   8599,  12895,  16713,  19829, 
/* msg =   9017, deg =  6 */   2171,   4780,   6622,  12196,  13074,  19534, 
/* msg =   9018, deg =  6 */   4265,   7219,   9057,  10024,  15797,  17469, 
/* msg =   9019, deg =  6 */   1608,   5858,   6484,  11012,  14611,  17236, 
/* msg =   9020, deg =  6 */   6330,   8383,   9727,  11995,  18731,  19249, 
/* msg =   9021, deg =  6 */   1647,   2249,   6508,  13554,  13897,  15235, 
/* msg =   9022, deg =  6 */   1618,   5215,   9892,  11242,  19189,  19790, 
/* msg =   9023, deg =  6 */   3470,   4869,   7310,  10648,  11897,  17224, 
/* msg =   9024, deg =  6 */   1695,   4977,   7316,  15693,  17022,  19939, 
/* msg =   9025, deg =  6 */   1122,   6918,   8485,  14387,  16589,  18248, 
/* msg =   9026, deg =  6 */   6511,   6603,   8913,  10297,  16433,  17062, 
/* msg =   9027, deg =  6 */   2835,   3604,   4494,  12587,  17093,  17334, 
/* msg =   9028, deg =  6 */   6622,   7184,   8992,  12170,  14677,  14879, 
/* msg =   9029, deg =  6 */   3563,   8501,   9875,  13805,  14340,  18653, 
/* msg =   9030, deg =  6 */    227,   5010,   7221,  10281,  10710,  18109, 
/* msg =   9031, deg =  6 */   2520,   5321,   6058,  10814,  13837,  16084, 
/* msg =   9032, deg =  6 */   1221,   2085,   3997,  10867,  12318,  17080, 
/* msg =   9033, deg =  6 */   1249,   5987,   7068,  13485,  14362,  15317, 
/* msg =   9034, deg =  6 */    912,   1026,   4210,  10213,  18470,  19075, 
/* msg =   9035, deg =  6 */   7063,   7781,   9919,  15682,  15909,  17499, 
/* msg =   9036, deg =  6 */   6141,   7474,   8719,  10821,  17891,  19149, 
/* msg =   9037, deg =  6 */    384,   5422,   7191,  12941,  15376,  18786, 
/* msg =   9038, deg =  6 */   4443,   8201,   8915,  12326,  12334,  19521, 
/* msg =   9039, deg =  6 */   2530,   8290,   9579,  12412,  15389,  16253, 
/* msg =   9040, deg =  6 */   5009,   6654,   7247,  17381,  18058,  19872, 
/* msg =   9041, deg =  6 */    241,    718,   1171,  10237,  11540,  19260, 
/* msg =   9042, deg =  6 */   2207,   4975,   6802,  11656,  16419,  17739, 
/* msg =   9043, deg =  6 */   4136,   5733,   9281,  13432,  13849,  16450, 
/* msg =   9044, deg =  6 */   5484,   6970,   8167,  14091,  16050,  17628, 
/* msg =   9045, deg =  6 */   4521,   4951,   9887,  10919,  16557,  18699, 
/* msg =   9046, deg =  6 */   2746,   4466,   7125,  10975,  18354,  19615, 
/* msg =   9047, deg =  6 */   1608,   5929,   6671,  11089,  12527,  18817, 
/* msg =   9048, deg =  6 */   4752,   8469,   9836,  12190,  17033,  18740, 
/* msg =   9049, deg =  6 */   1126,   4721,   7572,  11002,  11518,  18236, 
/* msg =   9050, deg =  6 */   2221,   2823,   4426,  10881,  11420,  15909, 
/* msg =   9051, deg =  6 */   5459,   6352,   9947,  13637,  17991,  19472, 
/* msg =   9052, deg =  6 */    424,   5904,   7819,  10333,  11105,  15942, 
/* msg =   9053, deg =  6 */   1986,   2589,   9512,  11762,  13844,  16120, 
/* msg =   9054, deg =  6 */   3274,   3501,   6226,  11950,  13320,  17305, 
/* msg =   9055, deg =  6 */   5804,   5854,   9537,  11477,  11953,  17253, 
/* msg =   9056, deg =  6 */    956,   2506,   4175,  14818,  16957,  18749, 
/* msg =   9057, deg =  6 */    672,   7564,   8559,  15072,  17782,  19326, 
/* msg =   9058, deg =  6 */    439,   2123,   4499,  11722,  17620,  18170, 
/* msg =   9059, deg =  6 */    472,   6201,   7416,  10640,  14873,  18305, 
/* msg =   9060, deg =  6 */   3050,   8020,   8417,  12706,  13979,  16951, 
/* msg =   9061, deg =  6 */   4300,   6637,   7093,  16163,  16946,  17842, 
/* msg =   9062, deg =  6 */   4449,   6999,   8185,  16217,  18351,  19488, 
/* msg =   9063, deg =  6 */   5141,   6661,   7901,  12560,  17155,  18615, 
/* msg =   9064, deg =  6 */   5247,   5944,   8047,  10768,  15951,  16669, 
/* msg =   9065, deg =  6 */    989,   4658,   5609,  10176,  15797,  17765, 
/* msg =   9066, deg =  6 */   2493,   5820,   9958,  13822,  13868,  16567, 
/* msg =   9067, deg =  6 */   3168,   3291,   8150,  12278,  17555,  19473, 
/* msg =   9068, deg =  6 */   5341,   5939,   9248,  12217,  14011,  18272, 
/* msg =   9069, deg =  6 */    274,   4582,   5100,  11003,  14851,  19978, 
/* msg =   9070, deg =  6 */   1920,   7814,   9883,  14125,  18564,  18680, 
/* msg =   9071, deg =  6 */   5123,   7608,   9614,  10184,  14498,  16333, 
/* msg =   9072, deg =  6 */    552,   6932,   7314,  11370,  12427,  16719, 
/* msg =   9073, deg =  6 */   1088,   5024,   6716,  17639,  18570,  19422, 
/* msg =   9074, deg =  6 */   1976,   4641,   6777,  15401,  16016,  18214, 
/* msg =   9075, deg =  6 */   1179,   3089,   5520,  11217,  17347,  18577, 
/* msg =   9076, deg =  6 */   1988,   3748,   6066,  14439,  14992,  18412, 
/* msg =   9077, deg =  6 */   2969,   4176,   7384,  10679,  14488,  19268, 
/* msg =   9078, deg =  6 */   1944,   8641,   9713,  10776,  15645,  19636, 
/* msg =   9079, deg =  6 */   4929,   6011,   6591,  12236,  16955,  16982, 
/* msg =   9080, deg =  6 */   2818,   6369,   8755,  11160,  15423,  18341, 
/* msg =   9081, deg =  6 */   3062,   7122,   7329,  16760,  18088,  18750, 
/* msg =   9082, deg =  6 */   2442,   6830,   9366,  10076,  14933,  17911, 
/* msg =   9083, deg =  6 */   2575,   6595,   8536,  11010,  11689,  14571, 
/* msg =   9084, deg =  6 */    270,   4325,   8189,  12606,  12811,  18604, 
/* msg =   9085, deg =  6 */   1181,   1563,   8508,  13328,  13848,  19761, 
/* msg =   9086, deg =  6 */   3755,   5297,   7096,  11650,  17578,  17950, 
/* msg =   9087, deg =  6 */    980,   1147,   3797,  12285,  14632,  17889, 
/* msg =   9088, deg =  6 */   2994,   3005,   5951,  16151,  17114,  18607, 
/* msg =   9089, deg =  6 */    158,   1057,   8428,  14458,  16831,  17807, 
/* msg =   9090, deg =  6 */   2274,   4351,   7381,  10122,  13268,  16070, 
/* msg =   9091, deg =  6 */   2929,   7022,   9443,  11466,  13114,  18606, 
/* msg =   9092, deg =  6 */   2129,   3023,   9779,  10744,  11108,  14134, 
/* msg =   9093, deg =  6 */   1056,   4054,   9690,  11469,  14808,  17310, 
/* msg =   9094, deg =  6 */   1621,   5699,   9332,  10863,  14502,  16614, 
/* msg =   9095, deg =  6 */    132,   2584,   6754,  17099,  17348,  19395, 
/* msg =   9096, deg =  6 */   1866,   2708,   9188,  15965,  19864,  19993, 
/* msg =   9097, deg =  6 */   2838,   5680,   5728,  11562,  12336,  12574, 
/* msg =   9098, deg =  6 */   2656,   5698,   6457,  18378,  18752,  19014, 
/* msg =   9099, deg =  6 */   5608,   5777,   8050,  13040,  14368,  15488, 
/* msg =   9100, deg =  6 */   3466,   9607,   9831,  12599,  15597,  17488, 
/* msg =   9101, deg =  6 */    737,   9671,   9732,  10563,  16178,  18379, 
/* msg =   9102, deg =  6 */   2060,   6904,   8025,  14109,  14594,  18137, 
/* msg =   9103, deg =  6 */   1316,   4038,   5983,  12872,  15315,  16264, 
/* msg =   9104, deg =  6 */      5,   2364,   2569,  13621,  15172,  16129, 
/* msg =   9105, deg =  6 */    484,    774,   5699,  10616,  11114,  12966, 
/* msg =   9106, deg =  6 */   6546,   7145,   9038,  14652,  18781,  18964, 
/* msg =   9107, deg =  6 */   1313,   4709,   6911,  12846,  13382,  14459, 
/* msg =   9108, deg =  6 */     49,   6506,   9896,  13055,  13506,  17032, 
/* msg =   9109, deg =  6 */   2831,   3148,   8052,  18159,  19165,  19477, 
/* msg =   9110, deg =  6 */    544,   4068,   7722,  11967,  15468,  18801, 
/* msg =   9111, deg =  6 */    974,   6583,   8105,  11941,  15213,  17928, 
/* msg =   9112, deg =  6 */   1202,   2837,   9611,  10361,  12699,  18877, 
/* msg =   9113, deg =  6 */     34,   4089,   9891,  11285,  12764,  17512, 
/* msg =   9114, deg =  6 */   3108,   7319,   8475,  10260,  12982,  13624, 
/* msg =   9115, deg =  6 */    218,   5469,   6008,  11251,  14639,  16066, 
/* msg =   9116, deg =  6 */   3654,   4836,   5670,  10127,  12790,  19470, 
/* msg =   9117, deg =  6 */   1108,   1127,   5005,  17609,  18182,  19022, 
/* msg =   9118, deg =  6 */   2738,   7467,   9867,  12357,  15078,  15518, 
/* msg =   9119, deg =  6 */   2189,   5750,   7040,  15344,  15992,  19135, 
/* msg =   9120, deg =  6 */   3782,   7375,   9184,  17143,  17740,  19154, 
/* msg =   9121, deg =  6 */   2343,   3444,   5190,  11012,  11054,  19898, 
/* msg =   9122, deg =  6 */   5302,   8145,   9615,  15635,  16581,  19509, 
/* msg =   9123, deg =  6 */     12,   6914,   8308,  10299,  11271,  11504, 
/* msg =   9124, deg =  6 */   5856,   7820,   9702,  12108,  15229,  19651, 
/* msg =   9125, deg =  6 */   2239,   4825,   8207,  11717,  16402,  16754, 
/* msg =   9126, deg =  6 */   2875,   3104,   8208,  12283,  13557,  15483, 
/* msg =   9127, deg =  6 */   7931,   8459,   9108,  12249,  17441,  18678, 
/* msg =   9128, deg =  6 */   2213,   7620,   9683,  11824,  13977,  18725, 
/* msg =   9129, deg =  6 */   4748,   5336,   7339,  10492,  12891,  15166, 
/* msg =   9130, deg =  6 */   5055,   6276,   9036,  15605,  16191,  19833, 
/* msg =   9131, deg =  6 */    710,   2636,   7588,  10828,  15153,  19991, 
/* msg =   9132, deg =  6 */   4933,   5481,   6670,  11264,  13242,  14447, 
/* msg =   9133, deg =  6 */   1439,   1876,   8653,  10261,  18977,  18999, 
/* msg =   9134, deg =  6 */   3329,   6725,   7991,  12761,  16112,  18041, 
/* msg =   9135, deg =  6 */   5583,   5910,   9195,  10285,  15310,  18774, 
/* msg =   9136, deg =  6 */    394,   1591,   3280,  14509,  17245,  19247, 
/* msg =   9137, deg =  6 */    396,   1049,   1700,  12138,  17979,  18984, 
/* msg =   9138, deg =  6 */   1854,   3976,   9694,  13150,  13206,  17623, 
/* msg =   9139, deg =  6 */   1770,   3864,   7482,  10487,  14297,  19112, 
/* msg =   9140, deg =  6 */    720,   5165,   6291,  10152,  10550,  10661, 
/* msg =   9141, deg =  6 */   4040,   8212,   8826,  11182,  12258,  13272, 
/* msg =   9142, deg =  6 */    569,   3484,   4744,  13080,  17700,  19189, 
/* msg =   9143, deg =  6 */   1697,   3896,   7842,  11030,  11357,  13066, 
/* msg =   9144, deg =  6 */   2185,   8407,   9602,  12960,  13323,  18149, 
/* msg =   9145, deg =  6 */   5140,   5160,   5162,  12352,  16460,  19144, 
/* msg =   9146, deg =  6 */     46,   6936,   7910,  14295,  15349,  18906, 
/* msg =   9147, deg =  6 */   4386,   7390,   9260,  10652,  17532,  19124, 
/* msg =   9148, deg =  6 */   2521,   5448,   6236,  12861,  13812,  15949, 
/* msg =   9149, deg =  6 */   2151,   4542,   9825,  12226,  12949,  14116, 
/* msg =   9150, deg =  6 */    542,   7246,   9128,  13013,  18676,  19843, 
/* msg =   9151, deg =  6 */     33,   7678,   8311,  16002,  17371,  19518, 
/* msg =   9152, deg =  6 */   2376,   4970,   7862,  12205,  12877,  19657, 
/* msg =   9153, deg =  6 */   3229,   4880,   9210,  11520,  14999,  18171, 
/* msg =   9154, deg =  6 */   6409,   8577,   8762,  11490,  11596,  12142, 
/* msg =   9155, deg =  6 */   2005,   4757,   9703,  14874,  17757,  19530, 
/* msg =   9156, deg =  6 */    535,   8834,   9650,  12364,  16582,  18258, 
/* msg =   9157, deg =  6 */   3272,   6647,   8618,  10338,  15063,  17477, 
/* msg =   9158, deg =  6 */   4126,   6398,   7754,  12416,  13201,  13674, 
/* msg =   9159, deg =  6 */   7106,   7955,   8413,  10614,  11632,  11664, 
/* msg =   9160, deg =  6 */   3924,   7111,   8655,  17307,  17734,  18272, 
/* msg =   9161, deg =  6 */   3463,   7351,   9991,  12878,  13519,  14104, 
/* msg =   9162, deg =  6 */   5201,   6892,   9875,  12344,  18924,  19207, 
/* msg =   9163, deg =  6 */   3550,   4127,   7604,  16768,  17084,  18536, 
/* msg =   9164, deg =  6 */    185,   4070,   8846,  14369,  16160,  18761, 
/* msg =   9165, deg =  6 */   2052,   4043,   8631,  17738,  18206,  19053, 
/* msg =   9166, deg =  6 */   1277,   5999,   6592,  11555,  11675,  16879, 
/* msg =   9167, deg =  6 */   1513,   3262,   7914,  10207,  13609,  15191, 
/* msg =   9168, deg =  6 */    491,   3375,   5957,  12608,  15335,  17225, 
/* msg =   9169, deg =  6 */    451,   1397,   1924,  13474,  15678,  15895, 
/* msg =   9170, deg =  6 */   7026,   7372,   8685,  16910,  19011,  19907, 
/* msg =   9171, deg =  6 */   4933,   5704,   9286,  11228,  12864,  16701, 
/* msg =   9172, deg =  6 */   3039,   3262,   4068,  14226,  17731,  18152, 
/* msg =   9173, deg =  6 */   4121,   6982,   9053,  10298,  10447,  16412, 
/* msg =   9174, deg =  6 */   1050,   6734,   8498,  12500,  17865,  19461, 
/* msg =   9175, deg =  6 */   2774,   5336,   9882,  13322,  15305,  15558, 
/* msg =   9176, deg =  6 */    299,   4173,   5969,  11309,  15161,  19206, 
/* msg =   9177, deg =  6 */    606,   2011,   3839,  10730,  18162,  18600, 
/* msg =   9178, deg =  6 */    926,   3953,   5759,  10638,  12902,  18319, 
/* msg =   9179, deg =  6 */   1176,   3440,   5244,  18568,  19266,  19900, 
/* msg =   9180, deg =  6 */    618,   2149,   4296,  10865,  13274,  16677, 
/* msg =   9181, deg =  6 */   3747,   5712,   9388,  12630,  14810,  16311, 
/* msg =   9182, deg =  6 */    188,   2210,   2978,  11856,  15250,  18917, 
/* msg =   9183, deg =  6 */   1535,   3166,   4506,  11595,  13405,  15792, 
/* msg =   9184, deg =  6 */   2529,   7581,   9804,  10813,  13117,  18051, 
/* msg =   9185, deg =  6 */   2990,   3693,   5381,  16810,  17281,  18960, 
/* msg =   9186, deg =  6 */   2839,   4480,   6367,  10086,  11667,  13139, 
/* msg =   9187, deg =  6 */   2394,   3125,   7515,  10534,  12954,  16685, 
/* msg =   9188, deg =  6 */   1807,   2690,   8717,  10131,  13127,  16069, 
/* msg =   9189, deg =  6 */    434,   6996,   7395,  15985,  17403,  18974, 
/* msg =   9190, deg =  6 */    656,   5676,   5839,  12689,  15422,  18088, 
/* msg =   9191, deg =  6 */   4249,   4376,   8251,  11291,  16716,  18571, 
/* msg =   9192, deg =  6 */    802,   2313,   6319,  10273,  10425,  10627, 
/* msg =   9193, deg =  6 */   1333,   2786,   5162,  13190,  13471,  18115, 
/* msg =   9194, deg =  6 */    903,   4513,   9726,  12875,  13878,  15845, 
/* msg =   9195, deg =  6 */   1094,   6153,   8362,  10804,  16115,  16561, 
/* msg =   9196, deg =  6 */   5473,   8330,   9877,  11245,  13361,  18265, 
/* msg =   9197, deg =  6 */   1162,   6268,   7624,  13604,  17372,  18011, 
/* msg =   9198, deg =  6 */   4341,   6169,   8166,  14145,  17665,  18357, 
/* msg =   9199, deg =  6 */   1671,   2892,   9336,  10086,  13452,  15637, 
/* msg =   9200, deg =  6 */    281,   3530,   7662,  10574,  14583,  16167, 
/* msg =   9201, deg =  6 */   7576,   7632,   7857,  13810,  16195,  19700, 
/* msg =   9202, deg =  6 */   1401,   6292,   9592,  13159,  13386,  13880, 
/* msg =   9203, deg =  6 */   6474,   8455,   8521,  10128,  12066,  14098, 
/* msg =   9204, deg =  6 */   1373,   2793,   3785,  15451,  17851,  19561, 
/* msg =   9205, deg =  6 */   6320,   7789,   8734,  13928,  14669,  18910, 
/* msg =   9206, deg =  6 */   4503,   8127,   9141,  13396,  16209,  17870, 
/* msg =   9207, deg =  6 */    839,   5918,   8366,  16708,  16915,  19540, 
/* msg =   9208, deg =  6 */   1650,   3727,   9950,  10097,  11883,  19776, 
/* msg =   9209, deg =  6 */   6978,   8921,   9790,  10077,  10136,  14476, 
/* msg =   9210, deg =  6 */   1788,   3301,   8791,  13256,  15744,  19444, 
/* msg =   9211, deg =  6 */   3112,   6649,   8134,  11320,  14596,  19062, 
/* msg =   9212, deg =  6 */    343,   3574,   5321,  11202,  13055,  15930, 
/* msg =   9213, deg =  6 */   2317,   5884,   7130,  11401,  15819,  17892, 
/* msg =   9214, deg =  6 */   1335,   1447,   7812,  10138,  15068,  18282, 
/* msg =   9215, deg =  6 */   5766,   7622,   7762,  14393,  17774,  19857, 
/* msg =   9216, deg =  6 */   5621,   6927,   9784,  11342,  16080,  19824, 
/* msg =   9217, deg =  6 */   2873,   3090,   7920,  12459,  16618,  18242, 
/* msg =   9218, deg =  6 */   1569,   4992,   6796,  12274,  15619,  17032, 
/* msg =   9219, deg =  6 */   1773,   4766,   4982,  14775,  16827,  18475, 
/* msg =   9220, deg =  6 */    575,    976,   1856,  10909,  14215,  15869, 
/* msg =   9221, deg =  6 */   5643,   5954,   9954,  11784,  17319,  19980, 
/* msg =   9222, deg =  6 */    612,   6509,   7422,  18016,  19085,  19120, 
/* msg =   9223, deg =  6 */   3803,   5313,   5912,  12201,  15557,  18778, 
/* msg =   9224, deg =  6 */    912,   6449,   7639,  15651,  16625,  18664, 
/* msg =   9225, deg =  6 */   4184,   5947,   6470,  12863,  16315,  17410, 
/* msg =   9226, deg =  6 */   4328,   9132,   9931,  11742,  12091,  13654, 
/* msg =   9227, deg =  6 */   3750,   8244,   8909,  11865,  11866,  16177, 
/* msg =   9228, deg =  6 */   1022,   1661,   5572,  11095,  13206,  15158, 
/* msg =   9229, deg =  6 */   6052,   8706,   9397,  13033,  13147,  15025, 
/* msg =   9230, deg =  6 */   1638,   2346,   9871,  11514,  14930,  16024, 
/* msg =   9231, deg =  6 */    286,   4221,   9380,  14099,  17573,  17642, 
/* msg =   9232, deg =  6 */   3037,   4001,   9505,  10417,  14582,  15760, 
/* msg =   9233, deg =  6 */   2065,   8986,   9302,  10789,  11326,  18779, 
/* msg =   9234, deg =  6 */    729,   2328,   7144,  10049,  11519,  16421, 
/* msg =   9235, deg =  6 */   4211,   6228,   6828,  10946,  19245,  19364, 
/* msg =   9236, deg =  6 */   1253,   2117,   8978,  11985,  13298,  18951, 
/* msg =   9237, deg =  6 */   5727,   9287,   9842,  12899,  13008,  18065, 
/* msg =   9238, deg =  6 */    674,   1064,   8341,  14281,  18215,  19896, 
/* msg =   9239, deg =  6 */   2311,   9018,   9032,  10405,  12807,  19077, 
/* msg =   9240, deg =  6 */   4979,   6051,   8257,  15403,  17587,  17631, 
/* msg =   9241, deg =  6 */   2276,   2704,   8626,  10075,  11344,  16575, 
/* msg =   9242, deg =  6 */   2099,   3301,   6263,  12911,  17373,  19803, 
/* msg =   9243, deg =  6 */    383,   3080,   4063,  13456,  13679,  18463, 
/* msg =   9244, deg =  6 */   1554,   1669,   5779,  10866,  12014,  18530, 
/* msg =   9245, deg =  6 */   1511,   6428,   7595,  13553,  16512,  17516, 
/* msg =   9246, deg =  6 */   3250,   6575,   9154,  10452,  13735,  18157, 
/* msg =   9247, deg =  6 */   4893,   7574,   9678,  17767,  19135,  19291, 
/* msg =   9248, deg =  6 */   1379,   7538,   9223,  13870,  15002,  15687, 
/* msg =   9249, deg =  6 */    226,   5938,   8810,  12114,  15684,  18868, 
/* msg =   9250, deg =  6 */    933,   6768,   8272,  12342,  14186,  19235, 
/* msg =   9251, deg =  6 */   2005,   3739,   5609,  16282,  17720,  18152, 
/* msg =   9252, deg =  6 */   4310,   7089,   9048,  11696,  18427,  19283, 
/* msg =   9253, deg =  6 */    297,   1664,   2690,  10249,  12010,  12579, 
/* msg =   9254, deg =  6 */     14,   5045,   9760,  12491,  13022,  15047, 
/* msg =   9255, deg =  6 */    310,    334,   6025,  12225,  12410,  13414, 
/* msg =   9256, deg =  6 */    875,   7490,   8581,  14894,  19208,  19712, 
/* msg =   9257, deg =  6 */   4169,   6628,   8109,  10636,  13508,  13642, 
/* msg =   9258, deg =  6 */    246,   1399,   8800,  13122,  15196,  19842, 
/* msg =   9259, deg =  6 */   2275,   5680,   9530,  14059,  18882,  19207, 
/* msg =   9260, deg =  6 */    225,   1395,   2799,  11202,  18324,  19714, 
/* msg =   9261, deg =  6 */    659,   6495,   9413,  10920,  12953,  17767, 
/* msg =   9262, deg =  6 */   2130,   2740,   6224,  12167,  18905,  18960, 
/* msg =   9263, deg =  6 */    173,    492,   9913,  10858,  16211,  19550, 
/* msg =   9264, deg =  6 */   4508,   4570,   9982,  17389,  17690,  18679, 
/* msg =   9265, deg =  6 */   1469,   7977,   8634,  14957,  18920,  19190, 
/* msg =   9266, deg =  6 */   4372,   4819,   9335,  15917,  18466,  19453, 
/* msg =   9267, deg =  6 */   1014,   4027,   5876,  11382,  12072,  19795, 
/* msg =   9268, deg =  6 */   1807,   4967,   7641,  13989,  15815,  19092, 
/* msg =   9269, deg =  6 */   1064,   5884,   7596,  10997,  12337,  18374, 
/* msg =   9270, deg =  6 */    690,   1757,   3943,  10585,  11209,  19582, 
/* msg =   9271, deg =  6 */   2312,   7145,   9272,  12579,  13596,  15773, 
/* msg =   9272, deg =  6 */   4939,   6345,   9615,  11390,  12559,  18796, 
/* msg =   9273, deg =  6 */   4337,   4929,   4996,  13290,  14947,  18620, 
/* msg =   9274, deg =  6 */   5591,   7391,   8531,  15740,  17276,  19106, 
/* msg =   9275, deg =  6 */   2521,   8949,   9978,  10670,  12915,  18678, 
/* msg =   9276, deg =  6 */   1226,   6249,   7431,  12723,  13472,  16346, 
/* msg =   9277, deg =  6 */   1169,   5658,   7944,  10207,  10796,  14736, 
/* msg =   9278, deg =  6 */   1367,   3503,   5987,  12246,  17588,  17670, 
/* msg =   9279, deg =  6 */   1750,   2955,   9421,  16638,  18026,  18803, 
/* msg =   9280, deg =  6 */   1650,   1761,   7977,  17586,  18116,  18755, 
/* msg =   9281, deg =  6 */   7850,   8117,   9499,  11218,  14214,  18413, 
/* msg =   9282, deg =  6 */    450,   2940,   6784,  10072,  11910,  14157, 
/* msg =   9283, deg =  6 */   1516,   6316,   6505,  11936,  12120,  13664, 
/* msg =   9284, deg =  6 */   2952,   7407,   7430,  12438,  19050,  19549, 
/* msg =   9285, deg =  6 */   5487,   6472,   8857,  10600,  13247,  15170, 
/* msg =   9286, deg =  6 */   4443,   5695,   7019,  12927,  13182,  15646, 
/* msg =   9287, deg =  6 */   7270,   8159,   9416,  12621,  13153,  13984, 
/* msg =   9288, deg =  6 */    193,    892,   3859,  13141,  18278,  19948, 
/* msg =   9289, deg =  6 */   1932,   2272,   6984,  10050,  13149,  16287, 
/* msg =   9290, deg =  6 */   7816,   7934,   8986,  17715,  18656,  19248, 
/* msg =   9291, deg =  6 */   7120,   7727,   7767,  12765,  14397,  16157, 
/* msg =   9292, deg =  6 */   7053,   8835,   9586,  12288,  12740,  19591, 
/* msg =   9293, deg =  6 */   1384,   1519,   2250,  12143,  14185,  14514, 
/* msg =   9294, deg =  6 */   2881,   6852,   8164,  14263,  15919,  16205, 
/* msg =   9295, deg =  6 */   2861,   3344,   8190,  15284,  16516,  17832, 
/* msg =   9296, deg =  6 */   1269,   3163,   4047,  11449,  13095,  15424, 
/* msg =   9297, deg =  6 */   1935,   6910,   7085,  10116,  18306,  19172, 
/* msg =   9298, deg =  6 */    851,   6229,   9149,  14448,  17108,  17510, 
/* msg =   9299, deg =  6 */   4696,   6994,   8585,  11027,  17165,  17567, 
/* msg =   9300, deg =  6 */   3070,   5800,   6249,  11304,  11682,  17593, 
/* msg =   9301, deg =  6 */   2893,   3687,   5726,  10056,  12414,  13703, 
/* msg =   9302, deg =  6 */   1694,   6299,   7816,  13641,  14619,  16398, 
/* msg =   9303, deg =  6 */   5809,   7634,   8046,  11276,  12497,  16547, 
/* msg =   9304, deg =  6 */   6879,   9280,   9423,  11699,  16378,  17876, 
/* msg =   9305, deg =  6 */   2828,   8322,   9400,  13939,  14419,  18775, 
/* msg =   9306, deg =  6 */   1494,   1992,   8793,  10364,  14487,  16873, 
/* msg =   9307, deg =  6 */   1515,   6643,   8768,  12693,  16923,  19149, 
/* msg =   9308, deg =  6 */    524,   1087,   5789,  12999,  16208,  16542, 
/* msg =   9309, deg =  6 */   1813,   7300,   9389,  10082,  17994,  18768, 
/* msg =   9310, deg =  6 */   2914,   3045,   6846,  12314,  16688,  19104, 
/* msg =   9311, deg =  6 */    816,   1874,   3600,  11573,  12677,  17385, 
/* msg =   9312, deg =  6 */   2414,   8039,   8174,  12472,  13188,  19966, 
/* msg =   9313, deg =  6 */   1467,   3516,   4752,  12248,  13760,  16833, 
/* msg =   9314, deg =  6 */   4814,   5146,   7708,  11033,  18202,  18990, 
/* msg =   9315, deg =  6 */    401,   3286,   4778,  14022,  16133,  16519, 
/* msg =   9316, deg =  6 */   4304,   7050,   7373,  10939,  13198,  19511, 
/* msg =   9317, deg =  6 */    200,   6985,   9241,  13682,  18093,  19049, 
/* msg =   9318, deg =  6 */   1261,   5080,   6234,  11181,  12995,  14122, 
/* msg =   9319, deg =  6 */   2895,   7188,   8640,  10996,  12569,  18361, 
/* msg =   9320, deg =  6 */   4383,   9814,   9987,  16297,  16394,  19308, 
/* msg =   9321, deg =  6 */   1036,   3052,   3779,  11163,  11645,  18417, 
/* msg =   9322, deg =  6 */   4314,   6130,   8726,  12083,  12645,  18300, 
/* msg =   9323, deg =  6 */   1738,   3027,   3307,  12097,  14301,  16546, 
/* msg =   9324, deg =  6 */   3133,   5628,   9391,  12156,  13409,  15296, 
/* msg =   9325, deg =  6 */   3311,   4152,   5551,  12958,  16257,  19636, 
/* msg =   9326, deg =  6 */   1130,   8145,   9784,  12858,  18304,  19905, 
/* msg =   9327, deg =  6 */   4870,   4890,   9183,  16502,  18309,  19390, 
/* msg =   9328, deg =  6 */   3415,   7181,   7776,  16024,  16672,  17946, 
/* msg =   9329, deg =  6 */   1830,   2660,   9733,  10302,  10397,  12325, 
/* msg =   9330, deg =  6 */   2292,   8864,   9019,  14816,  14962,  16137, 
/* msg =   9331, deg =  6 */    882,   3967,   7850,  12771,  17295,  19779, 
/* msg =   9332, deg =  6 */    172,   2024,   2491,  11917,  12680,  13639, 
/* msg =   9333, deg =  6 */   1857,   8363,   9418,  14999,  17512,  19201, 
/* msg =   9334, deg =  6 */   4874,   6749,   8133,  10441,  15206,  15512, 
/* msg =   9335, deg =  6 */    260,   3113,   9288,  10990,  17698,  18685, 
/* msg =   9336, deg =  6 */   1599,   3093,   8278,  17653,  18048,  18149, 
/* msg =   9337, deg =  6 */   4616,   6197,   8079,  11918,  15933,  18867, 
/* msg =   9338, deg =  6 */    294,   1021,   9139,  11719,  12562,  15539, 
/* msg =   9339, deg =  6 */   6423,   7716,   9321,  11906,  12920,  13826, 
/* msg =   9340, deg =  6 */   1131,   1580,   1831,  10971,  13356,  18969, 
/* msg =   9341, deg =  6 */   1111,   7462,   8622,  10779,  19005,  19351, 
/* msg =   9342, deg =  6 */    449,   8623,   8682,  10255,  15239,  19424, 
/* msg =   9343, deg =  6 */   2035,   8287,   8318,  10517,  10698,  16824, 
/* msg =   9344, deg =  6 */   1028,   1334,   6333,  12534,  14752,  16763, 
/* msg =   9345, deg =  6 */   4718,   5463,   9312,  13825,  15883,  18713, 
/* msg =   9346, deg =  6 */    446,   4323,   5092,  14136,  14979,  18709, 
/* msg =   9347, deg =  6 */   2155,   5461,   7942,  10105,  14004,  17034, 
/* msg =   9348, deg =  6 */   2305,   3042,   3538,  10074,  12679,  15924, 
/* msg =   9349, deg =  6 */   5953,   7702,   7828,  12554,  15212,  17115, 
/* msg =   9350, deg =  6 */   2484,   3370,   7367,  12062,  16054,  16860, 
/* msg =   9351, deg =  6 */    421,   6643,   9230,  11914,  12233,  17238, 
/* msg =   9352, deg =  6 */    929,   3619,   7845,  11842,  12406,  17176, 
/* msg =   9353, deg =  6 */   3634,   5532,   8703,  13583,  14977,  18981, 
/* msg =   9354, deg =  6 */   1368,   5740,   8127,  11748,  14559,  18580, 
/* msg =   9355, deg =  6 */    271,   1388,   6295,  11848,  13958,  17226, 
/* msg =   9356, deg =  6 */   6263,   6965,   8829,  11022,  11358,  11576, 
/* msg =   9357, deg =  6 */    342,   4720,   6814,  10832,  11582,  17014, 
/* msg =   9358, deg =  6 */   1065,   1754,   7357,  10228,  12831,  18420, 
/* msg =   9359, deg =  6 */   5314,   5691,   5937,  12055,  15899,  19047, 
/* msg =   9360, deg =  6 */   1149,   6995,   7060,  10671,  12701,  15376, 
/* msg =   9361, deg =  6 */   7013,   9385,   9684,  12020,  16802,  18994, 
/* msg =   9362, deg =  6 */   1746,   5421,   9311,  11844,  11922,  15606, 
/* msg =   9363, deg =  6 */   2264,   3734,   7726,  17047,  18480,  18833, 
/* msg =   9364, deg =  6 */   8218,   9645,   9804,  10094,  13647,  17600, 
/* msg =   9365, deg =  6 */   7670,   9899,   9990,  11473,  13956,  18965, 
/* msg =   9366, deg =  6 */   6933,   7222,   9664,  13804,  17035,  17831, 
/* msg =   9367, deg =  6 */   2334,   4972,   8152,  12147,  12767,  17210, 
/* msg =   9368, deg =  6 */   3103,   3383,   4913,  10239,  16377,  19558, 
/* msg =   9369, deg =  6 */   6173,   7895,   8608,  11964,  13714,  19093, 
/* msg =   9370, deg =  6 */    206,   8612,   9312,  12281,  18562,  18646, 
/* msg =   9371, deg =  6 */   5352,   7202,   9510,  10460,  14308,  17686, 
/* msg =   9372, deg =  6 */   2850,   4914,   5027,  14928,  15897,  18319, 
/* msg =   9373, deg =  6 */   1970,   2414,   3984,  11126,  15804,  18696, 
/* msg =   9374, deg =  6 */    987,   1848,   4540,  10647,  12881,  19213, 
/* msg =   9375, deg =  6 */   3582,   6800,   9972,  10151,  12834,  17547, 
/* msg =   9376, deg =  6 */     47,   3555,   4168,  16700,  18788,  19934, 
/* msg =   9377, deg =  6 */   3807,   4974,   7173,  12376,  18082,  18767, 
/* msg =   9378, deg =  6 */    161,   4838,   6119,  15860,  16954,  17124, 
/* msg =   9379, deg =  6 */   2196,   4537,   8591,  15529,  17807,  18615, 
/* msg =   9380, deg =  6 */    172,   3477,   8232,  11098,  11921,  12328, 
/* msg =   9381, deg =  6 */     85,   6125,   9708,  14777,  15147,  15373, 
/* msg =   9382, deg =  6 */   4349,   4843,   6312,  11548,  14116,  17991, 
/* msg =   9383, deg =  6 */    440,   5206,   8627,  12950,  16633,  18192, 
/* msg =   9384, deg =  6 */   2212,   2939,   6854,  10752,  11400,  12112, 
/* msg =   9385, deg =  6 */   1517,   3319,   8867,  12991,  17677,  19850, 
/* msg =   9386, deg =  6 */   8220,   9029,   9086,  14651,  17303,  17633, 
/* msg =   9387, deg =  6 */   3670,   6102,   8923,  11678,  16622,  18630, 
/* msg =   9388, deg =  6 */    471,   1884,   8940,  11609,  11796,  16422, 
/* msg =   9389, deg =  6 */   3855,   7553,   7917,  12096,  12213,  16251, 
/* msg =   9390, deg =  6 */   3468,   5752,   9457,  13998,  14314,  19339, 
/* msg =   9391, deg =  6 */    758,   2285,   5621,  15959,  16118,  19315, 
/* msg =   9392, deg =  6 */   4381,   5034,   8692,  12236,  16053,  16666, 
/* msg =   9393, deg =  6 */   2047,   2527,   8405,  12884,  14978,  16395, 
/* msg =   9394, deg =  6 */   3596,   5010,   5818,  14777,  17633,  19194, 
/* msg =   9395, deg =  6 */     80,   3854,   7803,  17641,  18819,  19649, 
/* msg =   9396, deg =  6 */    731,   5155,   6430,  13141,  16891,  19149, 
/* msg =   9397, deg =  6 */   1205,   3841,   9605,  10452,  12610,  16631, 
/* msg =   9398, deg =  6 */   3618,   5044,   6496,  15731,  15908,  17034, 
/* msg =   9399, deg =  6 */    574,   3887,   4070,  16156,  18217,  19935, 
/* msg =   9400, deg =  6 */   2734,   5846,   5849,  16451,  18186,  19082, 
/* msg =   9401, deg =  6 */   9525,   9590,   9996,  11834,  14172,  17731, 
/* msg =   9402, deg =  6 */   3502,   6691,   8847,  16429,  16972,  19229, 
/* msg =   9403, deg =  6 */    629,   2558,   3623,  12142,  15294,  17159, 
/* msg =   9404, deg =  6 */   5272,   6061,   9719,  10186,  13048,  18762, 
/* msg =   9405, deg =  6 */   1198,   1298,   3275,  12645,  14966,  16771, 
/* msg =   9406, deg =  6 */   1271,   1949,   9807,  10328,  15810,  17663, 
/* msg =   9407, deg =  6 */   1849,   1953,   3539,  10482,  14703,  16144, 
/* msg =   9408, deg =  6 */    185,   1262,   9907,  11590,  14014,  15961, 
/* msg =   9409, deg =  6 */    621,   2417,   7445,  11451,  17332,  18558, 
/* msg =   9410, deg =  6 */    792,    903,   2159,  11799,  14188,  19349, 
/* msg =   9411, deg =  6 */   1880,   6844,   9891,  11124,  13768,  16682, 
/* msg =   9412, deg =  6 */   2653,   5397,   6177,  14452,  15352,  17206, 
/* msg =   9413, deg =  6 */   1907,   2513,   2602,  10829,  15863,  17257, 
/* msg =   9414, deg =  6 */   1429,   2685,   8044,  11173,  16718,  17462, 
/* msg =   9415, deg =  6 */   6010,   7531,   8449,  12081,  13166,  15641, 
/* msg =   9416, deg =  6 */   1514,   5500,   9594,  10930,  13205,  18519, 
/* msg =   9417, deg =  6 */   4667,   8177,   9420,  16545,  18300,  18348, 
/* msg =   9418, deg =  6 */    265,   3482,   5120,  10448,  11858,  18302, 
/* msg =   9419, deg =  6 */    361,   1137,   9047,  10834,  14262,  18007, 
/* msg =   9420, deg =  6 */    562,   3800,   5249,  11408,  19443,  19901, 
/* msg =   9421, deg =  6 */   1357,   3122,   8561,  10172,  14217,  14790, 
/* msg =   9422, deg =  6 */   1114,   2451,   4000,  10416,  10821,  18489, 
/* msg =   9423, deg =  6 */   3043,   3386,   3450,  14855,  15260,  16440, 
/* msg =   9424, deg =  6 */   2434,   7488,   7731,  11785,  18112,  19966, 
/* msg =   9425, deg =  6 */   2517,   7144,   7489,  15551,  17181,  19497, 
/* msg =   9426, deg =  6 */    780,   8172,   9306,  12235,  14165,  16986, 
/* msg =   9427, deg =  6 */    972,   2729,   4741,  10761,  14485,  17243, 
/* msg =   9428, deg =  6 */    937,   3542,   7968,  12514,  14573,  16949, 
/* msg =   9429, deg =  6 */   2101,   7940,   9611,  14714,  17130,  17868, 
/* msg =   9430, deg =  6 */    585,   7472,   9623,  11218,  14228,  16203, 
/* msg =   9431, deg =  6 */    528,   2746,   2861,  11137,  12986,  18941, 
/* msg =   9432, deg =  6 */   2687,   4448,   7868,  13700,  16492,  18787, 
/* msg =   9433, deg =  6 */    350,   1472,   4705,  10308,  12481,  19157, 
/* msg =   9434, deg =  6 */   4207,   4558,   9380,  11185,  11786,  17381, 
/* msg =   9435, deg =  6 */    539,   2590,   4629,  11649,  19245,  19290, 
/* msg =   9436, deg =  6 */   3541,   8464,   9254,  11361,  14030,  18628, 
/* msg =   9437, deg =  6 */   1956,   3686,   4699,  12287,  13079,  19067, 
/* msg =   9438, deg =  6 */   1082,   2109,   7928,  10387,  14658,  15701, 
/* msg =   9439, deg =  6 */   1776,   3739,   6526,  12202,  13865,  16347, 
/* msg =   9440, deg =  6 */   2593,   3569,   8235,  13314,  15133,  19480, 
/* msg =   9441, deg =  6 */     38,   1707,   7795,  14061,  14246,  14447, 
/* msg =   9442, deg =  6 */   1844,   5074,   5904,  11789,  12919,  19234, 
/* msg =   9443, deg =  6 */    283,    445,   3757,  10847,  16179,  18185, 
/* msg =   9444, deg =  6 */   8013,   8227,   9251,  11497,  16821,  19720, 
/* msg =   9445, deg =  6 */   4791,   5029,   8178,  11194,  16543,  16551, 
/* msg =   9446, deg =  6 */   3839,   8231,   9956,  12128,  14896,  15297, 
/* msg =   9447, deg =  6 */    939,   3260,   8438,  10269,  10575,  17261, 
/* msg =   9448, deg =  6 */   1579,   2983,   5371,  10794,  12666,  18252, 
/* msg =   9449, deg =  6 */   2698,   8356,   9746,  16109,  18513,  18565, 
/* msg =   9450, deg =  6 */   5714,   6919,   7704,  14431,  17474,  17799, 
/* msg =   9451, deg =  6 */   2048,   5646,   8246,  11345,  11589,  15779, 
/* msg =   9452, deg =  6 */   1615,   4411,   5914,  10077,  11963,  15347, 
/* msg =   9453, deg =  6 */    637,   5593,   9241,  10158,  10215,  12114, 
/* msg =   9454, deg =  6 */   6506,   8741,   9833,  11567,  12657,  15226, 
/* msg =   9455, deg =  6 */   1909,   2532,   8785,  12640,  14344,  16920, 
/* msg =   9456, deg =  6 */   4476,   6064,   6158,  14155,  14385,  15751, 
/* msg =   9457, deg =  6 */    971,   1298,   3302,  10879,  16235,  16734, 
/* msg =   9458, deg =  6 */   1116,   2125,   8129,  10597,  12088,  17235, 
/* msg =   9459, deg =  6 */    537,   7920,   8952,  14160,  14711,  17838, 
/* msg =   9460, deg =  6 */   2464,   6145,   9405,  12455,  14684,  18606, 
/* msg =   9461, deg =  6 */   5458,   7844,   9528,  14463,  16552,  17164, 
/* msg =   9462, deg =  6 */   7140,   7265,   7684,  15492,  16458,  16852, 
/* msg =   9463, deg =  6 */   3546,   4083,   5122,  11312,  15559,  18243, 
/* msg =   9464, deg =  6 */    487,    767,   9504,  13235,  17354,  18031, 
/* msg =   9465, deg =  6 */   2737,   5921,   9752,  12285,  14154,  15259, 
/* msg =   9466, deg =  6 */   6866,   7229,   8090,  10746,  15945,  18341, 
/* msg =   9467, deg =  6 */    234,   4753,   6196,  13768,  15244,  16735, 
/* msg =   9468, deg =  6 */   7391,   7846,   9900,  12956,  14746,  15398, 
/* msg =   9469, deg =  6 */   1308,   9051,   9930,  13124,  15955,  19578, 
/* msg =   9470, deg =  6 */   1588,   4118,   4851,  11374,  12152,  16752, 
/* msg =   9471, deg =  6 */   6419,   6857,   9812,  16535,  16770,  17474, 
/* msg =   9472, deg =  6 */   1737,   6019,   7351,  11602,  15848,  17948, 
/* msg =   9473, deg =  6 */   5405,   9049,   9893,  12691,  13514,  18785, 
/* msg =   9474, deg =  6 */   1421,   7671,   7888,  12792,  13724,  18905, 
/* msg =   9475, deg =  6 */   3483,   5286,   9616,  14351,  17061,  17203, 
/* msg =   9476, deg =  6 */   1733,   7781,   9267,  10905,  16355,  18059, 
/* msg =   9477, deg =  6 */    477,   4463,   6040,  11043,  13750,  14915, 
/* msg =   9478, deg =  6 */   1453,   5956,   9397,  10621,  13529,  15259, 
/* msg =   9479, deg =  6 */   2853,   8195,   8754,  10023,  10443,  13449, 
/* msg =   9480, deg =  6 */    634,   4244,   7883,  10045,  13693,  17216, 
/* msg =   9481, deg =  6 */   3944,   6325,   6701,  10394,  16267,  18711, 
/* msg =   9482, deg =  6 */   5531,   5945,   6840,  11493,  13003,  14363, 
/* msg =   9483, deg =  6 */    379,   1877,   5873,  17632,  18596,  18757, 
/* msg =   9484, deg =  6 */   5839,   5925,   8812,  14270,  17175,  18337, 
/* msg =   9485, deg =  6 */    638,   3093,   8635,  10989,  15077,  16632, 
/* msg =   9486, deg =  6 */    264,   4963,   7794,  10420,  12768,  17312, 
/* msg =   9487, deg =  6 */   5294,   6265,   8067,  13910,  17790,  18398, 
/* msg =   9488, deg =  6 */   4162,   5847,   8729,  15727,  15860,  18220, 
/* msg =   9489, deg =  6 */     24,   1704,   8245,  10129,  12839,  14750, 
/* msg =   9490, deg =  6 */   4682,   9270,   9995,  13983,  17582,  18981, 
/* msg =   9491, deg =  6 */   2297,   2976,   4311,  12429,  17983,  18661, 
/* msg =   9492, deg =  6 */   3151,   3496,   6964,  11844,  13059,  17583, 
/* msg =   9493, deg =  6 */    380,   7063,   8630,  10747,  13504,  14595, 
/* msg =   9494, deg =  6 */   1399,   3126,   8250,  13218,  17446,  19054, 
/* msg =   9495, deg =  6 */   1682,   7851,   8483,  10706,  10867,  18863, 
/* msg =   9496, deg =  6 */    654,   3508,   5206,  16609,  17041,  19556, 
/* msg =   9497, deg =  6 */   2161,   5729,   6137,  10844,  14103,  15338, 
/* msg =   9498, deg =  6 */   2359,   4073,   8590,  12338,  17809,  19575, 
/* msg =   9499, deg =  6 */    513,    910,   7062,  11644,  16361,  19974, 
/* msg =   9500, deg =  6 */   1076,   1930,   4517,  12054,  12231,  14042, 
/* msg =   9501, deg =  6 */   2693,   4276,   8206,  12972,  16656,  16739, 
/* msg =   9502, deg =  6 */    654,   2603,   6058,  13909,  18645,  19289, 
/* msg =   9503, deg =  6 */   4032,   6022,   7453,  10244,  12206,  16618, 
/* msg =   9504, deg =  6 */   5183,   7510,   9802,  12489,  17402,  19194, 
/* msg =   9505, deg =  6 */   3135,   5053,   9523,  10126,  11061,  11170, 
/* msg =   9506, deg =  6 */    934,   1362,   8100,  11579,  12773,  15947, 
/* msg =   9507, deg =  6 */   1783,   3402,   5435,  13295,  16187,  17879, 
/* msg =   9508, deg =  6 */   1040,   1409,   4265,  11144,  13407,  14438, 
/* msg =   9509, deg =  6 */   2326,   2333,   9406,  16727,  17770,  19749, 
/* msg =   9510, deg =  6 */    964,   2562,   6305,  13221,  13390,  13625, 
/* msg =   9511, deg =  6 */    908,   9204,   9667,  10478,  15027,  15600, 
/* msg =   9512, deg =  6 */   2917,   4056,   9132,  11455,  12754,  19423, 
/* msg =   9513, deg =  6 */   3935,   6308,   9747,  14635,  15432,  16786, 
/* msg =   9514, deg =  6 */   1196,   3577,   7934,  12226,  17977,  18090, 
/* msg =   9515, deg =  6 */   7541,   8527,   8625,  13796,  14923,  15410, 
/* msg =   9516, deg =  6 */   3749,   5142,   8693,  11249,  15583,  17353, 
/* msg =   9517, deg =  6 */   5021,   8763,   9301,  10021,  11539,  15463, 
/* msg =   9518, deg =  6 */   2075,   6412,   7113,  10102,  11977,  16046, 
/* msg =   9519, deg =  6 */   1709,   5946,   7110,  16653,  17104,  19347, 
/* msg =   9520, deg =  6 */   5923,   6937,   9459,  11358,  12759,  13404, 
/* msg =   9521, deg =  6 */   3871,   5764,   8294,  14962,  17731,  19180, 
/* msg =   9522, deg =  6 */   1565,   7329,   9486,  11359,  12604,  18728, 
/* msg =   9523, deg =  6 */    920,   9035,   9443,  10318,  18350,  19496, 
/* msg =   9524, deg =  6 */    566,   3855,   6677,  13395,  18767,  19010, 
/* msg =   9525, deg =  6 */   3439,   3530,   7241,  12962,  13718,  18643, 
/* msg =   9526, deg =  6 */    410,    467,   2642,  15540,  18972,  19864, 
/* msg =   9527, deg =  6 */   3800,   5565,   9394,  11783,  12221,  17811, 
/* msg =   9528, deg =  6 */   2010,   2988,   4660,  11088,  18116,  19908, 
/* msg =   9529, deg =  6 */    253,   1779,   9150,  10219,  13142,  14545, 
/* msg =   9530, deg =  6 */   1964,   6391,   7535,  10394,  18375,  18849, 
/* msg =   9531, deg =  6 */    749,   3264,   7695,  13160,  17818,  19109, 
/* msg =   9532, deg =  6 */   7601,   8736,   9916,  11304,  18586,  19670, 
/* msg =   9533, deg =  6 */   2694,   3099,   6438,  11199,  11888,  13294, 
/* msg =   9534, deg =  6 */    372,   4397,   7313,  12176,  12368,  15649, 
/* msg =   9535, deg =  6 */    695,   2561,   4850,  13226,  18803,  18968, 
/* msg =   9536, deg =  6 */   3659,   7231,   8676,  11905,  14142,  15308, 
/* msg =   9537, deg =  6 */   3342,   3537,   9061,  10850,  11430,  14675, 
/* msg =   9538, deg =  6 */    435,   1872,   2081,  11938,  12729,  19959, 
/* msg =   9539, deg =  6 */   6418,   6848,   9361,  10732,  17735,  19562, 
/* msg =   9540, deg =  6 */   5588,   7451,   8846,  14672,  17539,  17610, 
/* msg =   9541, deg =  6 */   3737,   7611,   8143,  12719,  17668,  18881, 
/* msg =   9542, deg =  6 */   1233,   3038,   3564,  12140,  18337,  19833, 
/* msg =   9543, deg =  6 */   4078,   4527,   5786,  10678,  16603,  18809, 
/* msg =   9544, deg =  6 */   3880,   5693,   8986,  11570,  11979,  12230, 
/* msg =   9545, deg =  6 */   1045,   1920,   9157,  12595,  16142,  19728, 
/* msg =   9546, deg =  6 */   1702,   3868,   4626,  12465,  14678,  19692, 
/* msg =   9547, deg =  6 */    962,   5790,   5941,  14415,  15990,  16562, 
/* msg =   9548, deg =  6 */    383,    628,   6234,  13789,  14070,  17202, 
/* msg =   9549, deg =  6 */    596,   5881,   8315,  11598,  13875,  13879, 
/* msg =   9550, deg =  6 */    239,   2643,   9010,  13019,  15015,  18640, 
/* msg =   9551, deg =  6 */    462,   6008,   8108,  12854,  12994,  16021, 
/* msg =   9552, deg =  6 */    916,   1787,   2440,  11299,  12918,  17502, 
/* msg =   9553, deg =  6 */    295,   4313,   9128,  14331,  14852,  18366, 
/* msg =   9554, deg =  6 */   2309,   4510,   6676,  10365,  13984,  15562, 
/* msg =   9555, deg =  6 */   1370,   3349,   7150,  10628,  11058,  17212, 
/* msg =   9556, deg =  6 */   1050,   8060,   9906,  11615,  13309,  18465, 
/* msg =   9557, deg =  6 */   2087,   2363,   8043,  10182,  11255,  13218, 
/* msg =   9558, deg =  6 */    719,   1518,   2202,  16565,  17924,  19035, 
/* msg =   9559, deg =  6 */    542,   2354,   5721,  15087,  16399,  17069, 
/* msg =   9560, deg =  6 */    983,   1250,   8949,  10396,  10935,  12405, 
/* msg =   9561, deg =  6 */    715,   2579,   9508,  14669,  15952,  18163, 
/* msg =   9562, deg =  6 */     26,   2016,   2883,  11993,  18674,  19563, 
/* msg =   9563, deg =  6 */   8501,   9716,   9815,  11026,  16845,  18350, 
/* msg =   9564, deg =  6 */   2286,   6179,   9185,  11550,  18076,  19381, 
/* msg =   9565, deg =  6 */   1699,   3909,   4051,  10024,  15265,  17267, 
/* msg =   9566, deg =  6 */    779,   5717,   8077,  11525,  15681,  18221, 
/* msg =   9567, deg =  6 */   2121,   2573,   5949,  11691,  11827,  15427, 
/* msg =   9568, deg =  6 */   2170,   2716,   4320,  10922,  12313,  15918, 
/* msg =   9569, deg =  6 */   4308,   7492,   7663,  10355,  12678,  14406, 
/* msg =   9570, deg =  6 */   1189,   1431,   6036,  12475,  13573,  18532, 
/* msg =   9571, deg =  6 */   2674,   5429,   6071,  15808,  16171,  17321, 
/* msg =   9572, deg =  6 */   4855,   9490,   9538,  11175,  11654,  18118, 
/* msg =   9573, deg =  6 */   2184,   4272,   6085,  11208,  13034,  17965, 
/* msg =   9574, deg =  6 */   4340,   6641,   7435,  12533,  19267,  19726, 
/* msg =   9575, deg =  6 */   3726,   4294,   9761,  10221,  13957,  16668, 
/* msg =   9576, deg =  6 */   3937,   4348,   7101,  14542,  15637,  18963, 
/* msg =   9577, deg =  6 */   1829,   4792,   9458,  10572,  12052,  19964, 
/* msg =   9578, deg =  6 */     52,   5263,   8772,  10144,  12149,  19537, 
/* msg =   9579, deg =  6 */   3538,   7225,   7926,  11040,  15056,  15117, 
/* msg =   9580, deg =  6 */    239,    421,   9168,  11727,  11744,  14716, 
/* msg =   9581, deg =  6 */   1572,   3534,   6125,  11703,  12511,  14931, 
/* msg =   9582, deg =  6 */   1815,   3029,   6982,  13250,  15247,  18900, 
/* msg =   9583, deg =  6 */   2788,   4922,   8899,  13449,  15578,  18387, 
/* msg =   9584, deg =  6 */   3215,   5155,   5440,  11143,  11542,  16790, 
/* msg =   9585, deg =  6 */    476,   5432,   8478,  10464,  12254,  17736, 
/* msg =   9586, deg =  6 */   1278,   3279,   3581,  12920,  15323,  16427, 
/* msg =   9587, deg =  6 */   1394,   7337,   9587,  11206,  12380,  14801, 
/* msg =   9588, deg =  6 */   6893,   7536,   8877,  11214,  13493,  19712, 
/* msg =   9589, deg =  6 */    826,    909,   4348,  11403,  14073,  14533, 
/* msg =   9590, deg =  6 */   2222,   3212,   4630,  12157,  13220,  17302, 
/* msg =   9591, deg =  6 */      9,   2170,   6864,  12819,  17254,  18358, 
/* msg =   9592, deg =  6 */   1777,   4837,   7899,  15184,  16787,  19526, 
/* msg =   9593, deg =  6 */     82,    926,   5461,  10389,  17474,  19929, 
/* msg =   9594, deg =  6 */    745,   1505,   1994,  11235,  11882,  13828, 
/* msg =   9595, deg =  6 */    996,   6936,   9012,  13546,  15302,  18424, 
/* msg =   9596, deg =  6 */    282,   7267,   9061,  15949,  18292,  19237, 
/* msg =   9597, deg =  6 */   1071,   4277,   5266,  11349,  15494,  18235, 
/* msg =   9598, deg =  6 */   2878,   9656,   9681,  13898,  16901,  18199, 
/* msg =   9599, deg =  6 */   2886,   4973,   9627,  14990,  17578,  17927, 
/* msg =   9600, deg =  6 */   1344,   1950,   8102,  11467,  15174,  18418, 
/* msg =   9601, deg =  6 */   1874,   6575,   7788,  16116,  16184,  19590, 
/* msg =   9602, deg =  6 */     25,   6421,   7759,  12971,  19449,  19852, 
/* msg =   9603, deg =  6 */    754,   5778,   7516,  13719,  14584,  19383, 
/* msg =   9604, deg =  6 */   1973,   3608,   7283,  11788,  16260,  17884, 
/* msg =   9605, deg =  6 */   1756,   4384,   5465,  15633,  16950,  19024, 
/* msg =   9606, deg =  6 */   6839,   8004,   8059,  10480,  13775,  14797, 
/* msg =   9607, deg =  6 */   4930,   5090,   6624,  12781,  15329,  17298, 
/* msg =   9608, deg =  6 */   2420,   2430,   4285,  11421,  12327,  19952, 
/* msg =   9609, deg =  6 */   1334,   4969,   6709,  12896,  13750,  16350, 
/* msg =   9610, deg =  6 */    754,   5488,   8932,  13015,  14019,  17980, 
/* msg =   9611, deg =  6 */    965,   5734,   8120,  13768,  14075,  15323, 
/* msg =   9612, deg =  6 */     32,   1781,   2566,  16043,  17115,  18579, 
/* msg =   9613, deg =  6 */   1020,   3648,   7189,  12217,  16400,  17470, 
/* msg =   9614, deg =  6 */   5961,   7916,   9024,  10455,  14332,  17340, 
/* msg =   9615, deg =  6 */   1402,   6368,   6462,  11393,  15600,  19354, 
/* msg =   9616, deg =  6 */   2694,   7079,   7627,  11066,  15199,  18838, 
/* msg =   9617, deg =  6 */   4894,   5841,   9012,  13651,  16765,  17745, 
/* msg =   9618, deg =  6 */   2824,   7422,   9846,  11494,  14490,  14722, 
/* msg =   9619, deg =  6 */    343,   4375,   7955,  13201,  14261,  19827, 
/* msg =   9620, deg =  6 */   1452,   2280,   9146,  11903,  13949,  15155, 
/* msg =   9621, deg =  6 */   4483,   4954,   8151,  13484,  17631,  19238, 
/* msg =   9622, deg =  6 */   1665,   2147,   4672,  10756,  12702,  13516, 
/* msg =   9623, deg =  6 */   3984,   5183,   8011,  10471,  10627,  15082, 
/* msg =   9624, deg =  6 */    519,   1657,   9165,  14190,  14729,  19564, 
/* msg =   9625, deg =  6 */   7562,   8328,   9246,  13781,  15036,  17102, 
/* msg =   9626, deg =  6 */    303,   2480,   5875,  11019,  13348,  15548, 
/* msg =   9627, deg =  6 */   4338,   5167,   5849,  13412,  15482,  15751, 
/* msg =   9628, deg =  6 */   1701,   6165,   8312,  13161,  15779,  18965, 
/* msg =   9629, deg =  6 */    928,   4271,   7168,  13917,  15913,  18904, 
/* msg =   9630, deg =  6 */   6332,   7810,   7849,  10327,  14689,  18542, 
/* msg =   9631, deg =  6 */   4171,   5148,   9405,  10487,  16840,  19322, 
/* msg =   9632, deg =  6 */   5359,   7285,   8511,  10739,  15070,  16657, 
/* msg =   9633, deg =  6 */   3223,   4050,   8599,  14526,  15970,  17523, 
/* msg =   9634, deg =  6 */   4075,   6865,   8934,  10654,  15232,  19160, 
/* msg =   9635, deg =  6 */   4135,   5639,   8720,  11168,  11993,  12006, 
/* msg =   9636, deg =  6 */   4505,   5133,   8391,  11238,  13987,  19637, 
/* msg =   9637, deg =  6 */   3838,   5074,   9346,  12086,  13703,  17658, 
/* msg =   9638, deg =  6 */   3401,   6174,   7756,  14477,  15563,  19262, 
/* msg =   9639, deg =  6 */    232,   4534,   5954,  11741,  12703,  13267, 
/* msg =   9640, deg =  6 */    250,   2444,   6382,  12415,  18072,  18414, 
/* msg =   9641, deg =  6 */    528,   4293,   6168,  11536,  17913,  19731, 
/* msg =   9642, deg =  6 */   1267,   2351,   9678,  12888,  16818,  19422, 
/* msg =   9643, deg =  6 */   1546,   2274,   8001,  12899,  13367,  18770, 
/* msg =   9644, deg =  6 */   1742,   3665,   5353,  12655,  18631,  19018, 
/* msg =   9645, deg =  6 */   1326,   1890,   4790,  11427,  12690,  13109, 
/* msg =   9646, deg =  6 */    251,   3272,   4166,  13076,  18013,  19299, 
/* msg =   9647, deg =  6 */   3154,   4670,   8704,  12245,  17008,  17777, 
/* msg =   9648, deg =  6 */   1180,   8222,   9839,  11627,  14800,  15921, 
/* msg =   9649, deg =  6 */   3711,   8080,   9413,  15248,  17257,  18663, 
/* msg =   9650, deg =  6 */   5080,   6899,   8715,  12363,  14217,  19543, 
/* msg =   9651, deg =  6 */   1500,   1775,   9480,  16036,  16273,  17363, 
/* msg =   9652, deg =  6 */   2651,   8633,   8753,  12865,  13356,  18503, 
/* msg =   9653, deg =  6 */   5587,   5876,   7430,  12272,  16960,  18605, 
/* msg =   9654, deg =  6 */   2606,   5099,   9679,  10678,  14565,  17040, 
/* msg =   9655, deg =  6 */    198,    941,   2403,  12145,  13416,  13997, 
/* msg =   9656, deg =  6 */   1227,   1762,   9603,  11116,  11593,  17671, 
/* msg =   9657, deg =  6 */   1433,   3758,   4024,  11110,  16964,  19140, 
/* msg =   9658, deg =  6 */   7534,   8106,   8702,  11236,  12567,  17551, 
/* msg =   9659, deg =  6 */   1428,   7137,   9844,  12797,  13433,  18620, 
/* msg =   9660, deg =  6 */   2654,   5068,   5893,  10822,  11291,  18623, 
/* msg =   9661, deg =  6 */    938,   2491,   4896,  10522,  14180,  19282, 
/* msg =   9662, deg =  6 */   3179,   5097,   5681,  11005,  13551,  19645, 
/* msg =   9663, deg =  6 */    695,   4125,   7952,  10116,  13234,  17393, 
/* msg =   9664, deg =  6 */   7758,   8131,   8254,  11595,  13088,  19393, 
/* msg =   9665, deg =  6 */   2461,   8173,   9563,  10526,  19058,  19481, 
/* msg =   9666, deg =  6 */   4336,   6718,   9641,  11017,  13402,  19478, 
/* msg =   9667, deg =  6 */    442,   1471,   5355,  13263,  14544,  16706, 
/* msg =   9668, deg =  6 */   1066,   4891,   5560,  13092,  13686,  19230, 
/* msg =   9669, deg =  6 */    777,   1881,   8811,  13726,  17050,  19442, 
/* msg =   9670, deg =  6 */     30,   2225,   9261,  13584,  14196,  18588, 
/* msg =   9671, deg =  6 */   3531,   6801,   9533,  14568,  15875,  19287, 
/* msg =   9672, deg =  6 */   2164,   6581,   8611,  10994,  15134,  15297, 
/* msg =   9673, deg =  6 */   1328,   2883,   4137,  13806,  17741,  18332, 
/* msg =   9674, deg =  6 */   2745,   3305,   3802,  10276,  14202,  17185, 
/* msg =   9675, deg =  6 */   5168,   5509,   8515,  16190,  16571,  17592, 
/* msg =   9676, deg =  6 */    327,   2748,   9520,  13151,  14603,  14892, 
/* msg =   9677, deg =  6 */    922,   2767,   2983,  12185,  15263,  15881, 
/* msg =   9678, deg =  6 */   4076,   4243,   7768,  10132,  12863,  15861, 
/* msg =   9679, deg =  6 */    460,   4419,   5905,  13864,  16076,  18101, 
/* msg =   9680, deg =  6 */   1685,   4052,   4270,  10901,  13425,  18773, 
/* msg =   9681, deg =  6 */   4742,   6974,   8813,  13436,  14389,  15211, 
/* msg =   9682, deg =  6 */   4845,   5064,   6216,  11702,  12808,  17306, 
/* msg =   9683, deg =  6 */   1676,   4086,   7133,  11407,  12149,  13241, 
/* msg =   9684, deg =  6 */   1667,   4278,   4984,  12371,  13974,  14422, 
/* msg =   9685, deg =  6 */    856,   4848,   5835,  15725,  16753,  17884, 
/* msg =   9686, deg =  6 */   3298,   4671,   4789,  10693,  11267,  16369, 
/* msg =   9687, deg =  6 */   3240,   5289,   9330,  10486,  12798,  15640, 
/* msg =   9688, deg =  6 */   5585,   8801,   8974,  11780,  13990,  18175, 
/* msg =   9689, deg =  6 */   4236,   4255,   6510,  11506,  15075,  15717, 
/* msg =   9690, deg =  6 */    671,   3841,   6555,  10665,  13472,  19353, 
/* msg =   9691, deg =  6 */    458,   1228,   4863,  10556,  13615,  17704, 
/* msg =   9692, deg =  6 */   1265,   6351,   7220,  18154,  18223,  19282, 
/* msg =   9693, deg =  6 */   1943,   2972,   8063,  10411,  11288,  16067, 
/* msg =   9694, deg =  6 */    433,    476,   2431,  13450,  16000,  19517, 
/* msg =   9695, deg =  6 */   5008,   6303,   9653,  10291,  12559,  19320, 
/* msg =   9696, deg =  6 */   3828,   6935,   8079,  16837,  17913,  18027, 
/* msg =   9697, deg =  6 */    708,   2045,   4463,  13614,  16097,  18727, 
/* msg =   9698, deg =  6 */   3121,   7722,   9200,  10553,  11139,  18313, 
/* msg =   9699, deg =  6 */   1758,   4300,   5129,  10210,  14321,  19555, 
/* msg =   9700, deg =  6 */   1088,   1263,   3080,  14102,  15170,  15399, 
/* msg =   9701, deg =  6 */   1316,   2595,   6301,  10702,  13489,  17344, 
/* msg =   9702, deg =  6 */   5912,   6553,   8281,  10866,  16951,  18967, 
/* msg =   9703, deg =  6 */    517,   2856,   7841,  10758,  15182,  17405, 
/* msg =   9704, deg =  6 */   6017,   7147,   7149,  11068,  15269,  15747, 
/* msg =   9705, deg =  6 */    178,   3333,   6580,  14535,  15659,  16970, 
/* msg =   9706, deg =  6 */   2561,   5082,   9742,  10993,  19068,  19906, 
/* msg =   9707, deg =  6 */   1828,   3441,   9280,  11024,  13228,  17805, 
/* msg =   9708, deg =  6 */   2533,   5253,   7549,  10246,  10471,  12425, 
/* msg =   9709, deg =  6 */   3606,   4774,   5497,  10327,  13922,  15267, 
/* msg =   9710, deg =  6 */   3014,   9588,   9770,  13634,  14551,  19622, 
/* msg =   9711, deg =  6 */   2070,   4971,   7078,  14223,  14299,  17992, 
/* msg =   9712, deg =  6 */    913,   7809,   8290,  14791,  15383,  18685, 
/* msg =   9713, deg =  6 */    776,   3879,   8882,  11066,  12849,  17872, 
/* msg =   9714, deg =  6 */    438,   5810,   8655,  11074,  14989,  17111, 
/* msg =   9715, deg =  6 */    168,   3997,   6912,  12679,  12772,  18009, 
/* msg =   9716, deg =  6 */   5275,   6288,   8782,  12059,  16683,  18383, 
/* msg =   9717, deg =  6 */   4107,   8707,   9990,  17113,  17138,  17951, 
/* msg =   9718, deg =  6 */   1158,   1817,   7519,  13349,  14300,  17905, 
/* msg =   9719, deg =  6 */    467,    577,   7376,  12423,  13379,  14531, 
/* msg =   9720, deg =  6 */   6106,   9675,   9765,  13809,  17843,  18324, 
/* msg =   9721, deg =  6 */   2344,   4018,   8401,  12057,  12256,  13409, 
/* msg =   9722, deg =  6 */   3882,   4232,   5690,  13095,  15154,  19005, 
/* msg =   9723, deg =  6 */   1018,   5411,   7286,  11318,  12151,  16947, 
/* msg =   9724, deg =  6 */   1679,   4865,   9898,  18672,  18950,  19536, 
/* msg =   9725, deg =  6 */   6009,   9613,   9687,  13108,  17511,  18007, 
/* msg =   9726, deg =  6 */   8412,   9434,   9448,  10964,  11677,  13433, 
/* msg =   9727, deg =  6 */    417,    791,   1713,  10776,  11856,  12482, 
/* msg =   9728, deg =  6 */   4722,   6360,   9514,  10760,  13239,  19043, 
/* msg =   9729, deg =  6 */    483,   1634,   9981,  14665,  16598,  18851, 
/* msg =   9730, deg =  6 */   3424,   5627,   6895,  14467,  14741,  18964, 
/* msg =   9731, deg =  6 */   1856,   2958,   8633,  11233,  13657,  19122, 
/* msg =   9732, deg =  6 */   1714,   7988,   9066,  14141,  14877,  15806, 
/* msg =   9733, deg =  6 */    845,   2281,   3717,  11601,  11826,  14120, 
/* msg =   9734, deg =  6 */   5194,   8761,   9718,  14205,  14604,  16499, 
/* msg =   9735, deg =  6 */   2556,   2785,   4609,  16379,  17549,  18831, 
/* msg =   9736, deg =  6 */    495,    648,   2432,  10825,  15449,  17748, 
/* msg =   9737, deg =  6 */   1661,   3890,   9691,  15676,  18011,  19247, 
/* msg =   9738, deg =  6 */   3231,   6660,   7897,  11930,  18006,  19474, 
/* msg =   9739, deg =  6 */   2833,   4469,   9152,  13133,  17200,  18466, 
/* msg =   9740, deg =  6 */   3754,   5243,   8909,  10210,  12644,  17199, 
/* msg =   9741, deg =  6 */   5396,   6571,   7055,  14555,  17912,  18912, 
/* msg =   9742, deg =  6 */    942,   4383,   9940,  11789,  15547,  19142, 
/* msg =   9743, deg =  6 */   2396,   7938,   9802,  14737,  15226,  17304, 
/* msg =   9744, deg =  6 */   8279,   8402,   9721,  10332,  10827,  14408, 
/* msg =   9745, deg =  6 */   2691,   3082,   6347,  15822,  17844,  18250, 
/* msg =   9746, deg =  6 */   3956,   3980,   9231,  15785,  19179,  19448, 
/* msg =   9747, deg =  6 */   1025,   6709,   9969,  15422,  16183,  17410, 
/* msg =   9748, deg =  6 */   7231,   7550,   7884,  15423,  16639,  16844, 
/* msg =   9749, deg =  6 */   1415,   2249,   7393,  10379,  11592,  16450, 
/* msg =   9750, deg =  6 */    964,   3507,   8541,  16853,  19100,  19382, 
/* msg =   9751, deg =  6 */   2148,   4480,   5525,  10376,  14479,  15210, 
/* msg =   9752, deg =  6 */   1002,   2258,   5628,  10581,  11276,  15118, 
/* msg =   9753, deg =  6 */   2630,   5446,   9357,  11077,  15489,  18486, 
/* msg =   9754, deg =  6 */    767,   4493,   9658,  12801,  18483,  18551, 
/* msg =   9755, deg =  6 */   1356,   6440,   9026,  15621,  15967,  18062, 
/* msg =   9756, deg =  6 */    224,   8919,   9988,  15346,  15587,  17759, 
/* msg =   9757, deg =  6 */   1526,   2770,   2968,  15183,  16155,  17743, 
/* msg =   9758, deg =  6 */   1151,   2620,   4847,  10535,  11923,  19751, 
/* msg =   9759, deg =  6 */   1296,   7598,   8784,  10404,  11210,  17932, 
/* msg =   9760, deg =  6 */    274,   2158,   6586,  11315,  16459,  18235, 
/* msg =   9761, deg =  6 */   1120,   8271,   9190,  12040,  16353,  18468, 
/* msg =   9762, deg =  6 */   1725,   2302,   9531,  15825,  17521,  19905, 
/* msg =   9763, deg =  6 */   1659,   9670,   9720,  11026,  12186,  15310, 
/* msg =   9764, deg =  6 */    349,   5211,   6289,  12094,  17871,  17926, 
/* msg =   9765, deg =  6 */   5175,   6272,   9935,  10225,  17133,  17538, 
/* msg =   9766, deg =  6 */   3034,   3534,   8429,  11790,  13540,  19727, 
/* msg =   9767, deg =  6 */   3998,   6551,   6899,  12760,  18698,  19581, 
/* msg =   9768, deg =  6 */    370,    993,   1575,  10851,  12327,  18064, 
/* msg =   9769, deg =  6 */    562,   5916,   6107,  10573,  11931,  19161, 
/* msg =   9770, deg =  6 */    882,   7390,   8061,  13340,  14468,  19981, 
/* msg =   9771, deg =  6 */   2865,   9092,   9463,  13685,  14823,  17464, 
/* msg =   9772, deg =  6 */   2160,   2724,   3001,  15444,  15535,  16223, 
/* msg =   9773, deg =  6 */    338,   6067,   6473,  12332,  14219,  16952, 
/* msg =   9774, deg =  6 */    493,   6032,   9553,  12685,  13896,  17136, 
/* msg =   9775, deg =  6 */   1483,   6107,   6808,  12089,  12837,  15123, 
/* msg =   9776, deg =  6 */    664,   2961,   9521,  10206,  15659,  15669, 
/* msg =   9777, deg =  6 */   4457,   4668,   5442,  10216,  15417,  18387, 
/* msg =   9778, deg =  6 */    954,   3804,   5587,  10217,  16278,  19683, 
/* msg =   9779, deg =  6 */   3036,   8149,   8453,  10556,  14408,  19218, 
/* msg =   9780, deg =  6 */   4714,   6065,   8459,  10252,  12855,  16178, 
/* msg =   9781, deg =  6 */   1128,   3442,   9407,  10424,  10862,  14124, 
/* msg =   9782, deg =  6 */   4281,   5309,   6440,  10231,  12042,  16684, 
/* msg =   9783, deg =  6 */    502,   4386,   7689,  13947,  14421,  17011, 
/* msg =   9784, deg =  6 */   3636,   6164,   6855,  13759,  14917,  18224, 
/* msg =   9785, deg =  6 */   1306,   1562,   7119,  10183,  11995,  18675, 
/* msg =   9786, deg =  6 */   2316,   4506,   6365,  10582,  14529,  14597, 
/* msg =   9787, deg =  6 */    951,   4415,   9066,  10825,  17954,  18337, 
/* msg =   9788, deg =  6 */   6294,   7804,   9136,  11740,  12209,  16935, 
/* msg =   9789, deg =  6 */   3879,   5727,   9670,  11165,  15547,  18594, 
/* msg =   9790, deg =  6 */    105,   3374,   6830,  11908,  12387,  12943, 
/* msg =   9791, deg =  6 */    297,    561,   4476,  12013,  12654,  18499, 
/* msg =   9792, deg =  6 */   3690,   9589,   9926,  10501,  13002,  15381, 
/* msg =   9793, deg =  6 */   1334,   2435,   3911,  10777,  12934,  14636, 
/* msg =   9794, deg =  6 */    282,   4525,   4804,  13426,  15926,  16152, 
/* msg =   9795, deg =  6 */   3128,   6468,   8522,  11366,  17958,  18729, 
/* msg =   9796, deg =  6 */   6149,   6300,   8817,  16793,  18109,  19826, 
/* msg =   9797, deg =  6 */   3102,   3941,   6387,  11380,  15685,  15879, 
/* msg =   9798, deg =  6 */   6690,   7835,   9373,  10872,  16250,  19835, 
/* msg =   9799, deg =  6 */   2710,   3423,   4162,  12099,  13107,  18767, 
/* msg =   9800, deg =  6 */   4166,   5036,   6559,  17220,  18114,  18909, 
/* msg =   9801, deg =  6 */    871,   2632,   9911,  10571,  10955,  12427, 
/* msg =   9802, deg =  6 */   3150,   4256,   7067,  14452,  16487,  18251, 
/* msg =   9803, deg =  6 */   3474,   4497,   5348,  10052,  16227,  19028, 
/* msg =   9804, deg =  6 */    101,   2139,   8110,  10700,  13618,  17234, 
/* msg =   9805, deg =  6 */   2012,   2658,   4538,  12696,  16697,  18957, 
/* msg =   9806, deg =  6 */   4674,   5406,   5683,  15008,  16040,  19663, 
/* msg =   9807, deg =  6 */   7166,   7570,   8020,  12327,  14672,  18203, 
/* msg =   9808, deg =  6 */   1936,   1998,   6515,  10980,  12757,  17515, 
/* msg =   9809, deg =  6 */   7028,   7384,   9069,  11341,  11837,  13904, 
/* msg =   9810, deg =  6 */   1457,   3359,   5285,  11977,  16275,  18207, 
/* msg =   9811, deg =  6 */   2295,   2439,   3730,  10916,  11406,  12257, 
/* msg =   9812, deg =  6 */   1799,   4490,   7303,  14968,  15599,  19137, 
/* msg =   9813, deg =  6 */   1815,   6807,   6947,  12747,  13077,  19218, 
/* msg =   9814, deg =  6 */   5195,   6856,   9317,  15847,  18740,  19309, 
/* msg =   9815, deg =  6 */   2012,   6265,   9903,  12763,  17607,  17874, 
/* msg =   9816, deg =  6 */   6523,   7194,   7611,  12944,  15088,  16761, 
/* msg =   9817, deg =  6 */    204,   5464,   9989,  11922,  12358,  19990, 
/* msg =   9818, deg =  6 */   3831,   8110,   9084,  10315,  11530,  13189, 
/* msg =   9819, deg =  6 */   6015,   6845,   9107,  13943,  14489,  19784, 
/* msg =   9820, deg =  6 */      8,   1066,   2021,  13655,  18762,  19904, 
/* msg =   9821, deg =  6 */     92,    273,    929,  16132,  16966,  18505, 
/* msg =   9822, deg =  6 */   3360,   5514,   8725,  13903,  15597,  17866, 
/* msg =   9823, deg =  6 */     28,   5250,   6826,  14332,  15773,  18533, 
/* msg =   9824, deg =  6 */   1025,   3100,   7591,  11503,  19067,  19635, 
/* msg =   9825, deg =  6 */   1569,   2532,   8770,  14892,  16369,  19279, 
/* msg =   9826, deg =  6 */    657,   5308,   5363,  17480,  18765,  19371, 
/* msg =   9827, deg =  6 */   3437,   6582,   9629,  15871,  16704,  19901, 
/* msg =   9828, deg =  6 */   6392,   6645,   9708,  11236,  12745,  17377, 
/* msg =   9829, deg =  6 */    888,   3077,   6814,  10128,  11045,  19900, 
/* msg =   9830, deg =  6 */   3183,   5682,   7686,  11188,  12159,  12975, 
/* msg =   9831, deg =  6 */   1846,   4167,   8269,  12774,  13096,  13407, 
/* msg =   9832, deg =  6 */    414,   3704,   4993,  14101,  18079,  19389, 
/* msg =   9833, deg =  6 */    430,   2626,   6198,  12127,  15808,  16257, 
/* msg =   9834, deg =  6 */    374,   1870,   8073,  15598,  16939,  17628, 
/* msg =   9835, deg =  6 */    992,   1598,   6535,  10608,  12836,  13264, 
/* msg =   9836, deg =  6 */   4557,   6508,   8882,  10314,  10732,  18627, 
/* msg =   9837, deg =  6 */    253,   7463,   9933,  10894,  10972,  12745, 
/* msg =   9838, deg =  6 */   3478,   4193,   7951,  10807,  13903,  14832, 
/* msg =   9839, deg =  6 */   2909,   5326,   5477,  11836,  13310,  15521, 
/* msg =   9840, deg =  6 */    333,   6479,   6501,  13048,  16912,  17359, 
/* msg =   9841, deg =  6 */   4418,   4569,   5899,  10615,  13125,  16365, 
/* msg =   9842, deg =  6 */   6255,   7912,   9181,  10799,  14539,  16699, 
/* msg =   9843, deg =  6 */   1139,   2354,   5055,  14376,  14450,  17883, 
/* msg =   9844, deg =  6 */   3391,   5645,   7742,  13891,  17455,  19327, 
/* msg =   9845, deg =  6 */   1287,   7647,   9813,  10162,  10921,  13341, 
/* msg =   9846, deg =  6 */   2775,   6180,   8812,  10888,  13758,  18939, 
/* msg =   9847, deg =  6 */    300,   7960,   8477,  10711,  11329,  12600, 
/* msg =   9848, deg =  6 */    834,   5077,   6459,  13222,  17705,  18842, 
/* msg =   9849, deg =  6 */   6924,   9408,   9550,  11377,  18733,  19189, 
/* msg =   9850, deg =  6 */   1211,   2470,   7534,  11943,  12444,  15586, 
/* msg =   9851, deg =  6 */   5317,   5319,   8157,  10900,  11979,  15549, 
/* msg =   9852, deg =  6 */   1785,   2540,   2655,  14484,  17069,  19717, 
/* msg =   9853, deg =  6 */    534,   2198,   3266,  10381,  13525,  18601, 
/* msg =   9854, deg =  6 */   1568,   2675,   8163,  15927,  17382,  18482, 
/* msg =   9855, deg =  6 */   2555,   4141,   5145,  12974,  13659,  19587, 
/* msg =   9856, deg =  6 */    792,   7268,   8468,  10278,  11146,  12890, 
/* msg =   9857, deg =  6 */   2465,   6684,   8519,  10467,  12492,  18672, 
/* msg =   9858, deg =  6 */    378,   5035,   5343,  10783,  12351,  18980, 
/* msg =   9859, deg =  6 */   1436,   1489,   6887,  12955,  14242,  19763, 
/* msg =   9860, deg =  6 */   3002,   6680,   6871,  10824,  13875,  14318, 
/* msg =   9861, deg =  6 */   1354,   4164,   7368,  14424,  17996,  19847, 
/* msg =   9862, deg =  6 */    154,   4370,   6466,  11679,  13770,  17985, 
/* msg =   9863, deg =  6 */   4552,   6047,   9874,  11203,  18074,  18763, 
/* msg =   9864, deg =  6 */   2403,   7169,   8603,  11553,  14507,  14573, 
/* msg =   9865, deg =  6 */   3972,   4454,   5751,  14928,  15830,  17368, 
/* msg =   9866, deg =  6 */   4286,   5257,   8912,  10772,  12448,  19982, 
/* msg =   9867, deg =  6 */   1818,   3503,   5974,  15428,  18211,  18464, 
/* msg =   9868, deg =  6 */    878,   3298,   6144,  10124,  13834,  14008, 
/* msg =   9869, deg =  6 */   6084,   6338,   8184,  10341,  16414,  17168, 
/* msg =   9870, deg =  6 */   1441,   4708,   9352,  12494,  14766,  15049, 
/* msg =   9871, deg =  6 */    503,   3229,   9688,  12946,  13208,  13815, 
/* msg =   9872, deg =  6 */   1768,   3765,   5920,  12568,  17458,  18870, 
/* msg =   9873, deg =  6 */    376,   3099,   6678,  10705,  15645,  18911, 
/* msg =   9874, deg =  6 */    389,   2122,   7113,  11213,  12833,  14362, 
/* msg =   9875, deg =  6 */   3906,   3967,   6421,  17058,  17438,  19399, 
/* msg =   9876, deg =  6 */   7143,   7807,   8166,  10229,  14101,  19392, 
/* msg =   9877, deg =  6 */   2579,   5421,   8273,  10499,  18491,  19805, 
/* msg =   9878, deg =  6 */   2151,   3995,   5968,  10208,  12522,  14565, 
/* msg =   9879, deg =  6 */   2419,   3224,   8878,  11463,  14201,  19620, 
/* msg =   9880, deg =  6 */    488,   1827,   9662,  10266,  14466,  14722, 
/* msg =   9881, deg =  6 */    467,    520,   1198,  11087,  13215,  13307, 
/* msg =   9882, deg =  6 */    104,    590,   2754,  10039,  11847,  19247, 
/* msg =   9883, deg =  6 */   4003,   6187,   7669,  12422,  13293,  14096, 
/* msg =   9884, deg =  6 */   4995,   5822,   7314,  12995,  15573,  18020, 
/* msg =   9885, deg =  6 */    437,   2856,   9686,  13515,  15565,  19139, 
/* msg =   9886, deg =  6 */   2144,   3162,   9980,  16596,  17699,  18980, 
/* msg =   9887, deg =  6 */    876,   6499,   9677,  13855,  14790,  15592, 
/* msg =   9888, deg =  6 */   1272,   1428,   5493,  10059,  14360,  15128, 
/* msg =   9889, deg =  6 */   6464,   6772,   7622,  13615,  14565,  17366, 
/* msg =   9890, deg =  6 */   2838,   5238,   6667,  10529,  14817,  16012, 
/* msg =   9891, deg =  6 */    353,   6536,   9994,  12319,  12906,  15823, 
/* msg =   9892, deg =  6 */   3831,   3861,   4114,  10095,  11411,  11674, 
/* msg =   9893, deg =  6 */   1626,   3035,   4039,  15565,  17239,  17261, 
/* msg =   9894, deg =  6 */   1460,   8341,   8803,  11251,  15052,  18347, 
/* msg =   9895, deg =  6 */   6958,   8617,   9500,  10959,  11425,  12310, 
/* msg =   9896, deg =  6 */   4768,   5895,   8238,  11075,  15830,  18858, 
/* msg =   9897, deg =  6 */    105,   4354,   5617,  10403,  11707,  17661, 
/* msg =   9898, deg =  6 */    347,   4935,   5418,  10290,  12845,  15382, 
/* msg =   9899, deg =  6 */   7114,   9070,   9998,  12541,  13967,  14901, 
/* msg =   9900, deg =  6 */    493,   7208,   9094,  12211,  14219,  16681, 
/* msg =   9901, deg =  6 */   4669,   6539,   7446,  10816,  11262,  15688, 
/* msg =   9902, deg =  6 */   2419,   3664,   4367,  10440,  10871,  13297, 
/* msg =   9903, deg =  6 */   1591,   5776,   9897,  10643,  15557,  18404, 
/* msg =   9904, deg =  6 */   3467,   5294,   6930,  11814,  13466,  16049, 
/* msg =   9905, deg =  6 */   2079,   4497,   7165,  16929,  18511,  19026, 
/* msg =   9906, deg =  6 */   2362,   5812,   7017,  10707,  12617,  12987, 
/* msg =   9907, deg =  6 */    527,   6530,   9657,  13644,  13755,  17126, 
/* msg =   9908, deg =  6 */   3812,   5655,   6358,  13956,  15545,  15782, 
/* msg =   9909, deg =  6 */   1641,   3824,   7951,  10791,  11705,  13918, 
/* msg =   9910, deg =  6 */   1266,   3265,   3500,  14402,  18303,  18884, 
/* msg =   9911, deg =  6 */    894,   2516,   4010,  10519,  11258,  18241, 
/* msg =   9912, deg =  6 */   3402,   3420,   6352,  11501,  18734,  19219, 
/* msg =   9913, deg =  6 */     62,    698,   2090,  10255,  13321,  17393, 
/* msg =   9914, deg =  6 */     68,   1842,   7620,  11916,  15742,  17779, 
/* msg =   9915, deg =  6 */    702,   1554,   6105,  11895,  17713,  19333, 
/* msg =   9916, deg =  6 */   1484,   6338,   9419,  18482,  19470,  19719, 
/* msg =   9917, deg =  6 */   1196,   7605,   9086,  10310,  15440,  17901, 
/* msg =   9918, deg =  6 */   1041,   3286,   9069,  10285,  13577,  18129, 
/* msg =   9919, deg =  6 */   1525,   2181,   2668,  10003,  14253,  19733, 
/* msg =   9920, deg =  6 */   3444,   8831,   8914,  15605,  15795,  17018, 
/* msg =   9921, deg =  6 */   1093,   3615,   7246,  10156,  14282,  17710, 
/* msg =   9922, deg =  6 */   3605,   6663,   9550,  12766,  14876,  15171, 
/* msg =   9923, deg =  6 */   2140,   4775,   9016,  13028,  15965,  17334, 
/* msg =   9924, deg =  6 */   2343,   3332,   5575,  12084,  16061,  16771, 
/* msg =   9925, deg =  6 */   2042,   2216,   7625,  11065,  12512,  14820, 
/* msg =   9926, deg =  6 */   1773,   6700,   7510,  13248,  15372,  19752, 
/* msg =   9927, deg =  6 */   2321,   4893,   7689,  15515,  17607,  19143, 
/* msg =   9928, deg =  6 */    558,   2520,   3723,  14448,  17103,  19083, 
/* msg =   9929, deg =  6 */   7139,   9202,   9747,  11471,  17788,  19140, 
/* msg =   9930, deg =  6 */   2535,   8124,   8499,  14880,  15470,  17862, 
/* msg =   9931, deg =  6 */   3507,   3848,   6685,  11141,  13741,  13780, 
/* msg =   9932, deg =  6 */   3927,   5647,   7184,  12705,  19595,  19694, 
/* msg =   9933, deg =  6 */   8554,   8592,   9704,  14173,  15522,  17270, 
/* msg =   9934, deg =  6 */   1186,   1234,   3669,  11061,  11074,  19815, 
/* msg =   9935, deg =  6 */    862,   3101,   8544,  12331,  17726,  19476, 
/* msg =   9936, deg =  6 */   2178,   3808,   6123,  13458,  14316,  19073, 
/* msg =   9937, deg =  6 */    371,   8266,   9301,  10406,  10725,  18498, 
/* msg =   9938, deg =  6 */   4433,   4931,   9053,  10763,  10952,  16987, 
/* msg =   9939, deg =  6 */   3224,   4028,   6608,  14232,  15478,  15916, 
/* msg =   9940, deg =  6 */   2689,   2968,   6790,  15722,  16341,  16943, 
/* msg =   9941, deg =  6 */   3696,   7449,   8530,  14406,  14704,  19475, 
/* msg =   9942, deg =  6 */   4994,   5688,   8357,  11364,  12815,  17465, 
/* msg =   9943, deg =  6 */    152,   1255,   3965,  15654,  16785,  19098, 
/* msg =   9944, deg =  6 */    503,   1021,   5986,  10215,  18360,  19019, 
/* msg =   9945, deg =  6 */   3939,   4539,   9709,  10145,  16447,  18786, 
/* msg =   9946, deg =  6 */    156,   1928,   3932,  12660,  16071,  16807, 
/* msg =   9947, deg =  6 */   4627,   4976,   6231,  11086,  16037,  16876, 
/* msg =   9948, deg =  6 */   1450,   6244,   8667,  10243,  15062,  16761, 
/* msg =   9949, deg =  6 */   1993,   2619,   6216,  12034,  16140,  19945, 
/* msg =   9950, deg =  6 */   4544,   7336,   9385,  15347,  15416,  16213, 
/* msg =   9951, deg =  6 */   1046,   3259,   7906,  10410,  16537,  19529, 
/* msg =   9952, deg =  6 */    217,   1467,   8706,  17346,  18032,  18385, 
/* msg =   9953, deg =  6 */    589,   5257,   8716,  11153,  17648,  19750, 
/* msg =   9954, deg =  6 */   3522,   4347,   8350,  13075,  14769,  14982, 
/* msg =   9955, deg =  6 */   1878,   5603,   8875,  11639,  14516,  17080, 
/* msg =   9956, deg =  6 */   1499,   3276,   9024,  13204,  15087,  19267, 
/* msg =   9957, deg =  6 */   1646,   3999,   9283,  12814,  17963,  19186, 
/* msg =   9958, deg =  6 */   1939,   5354,   6721,  15463,  16880,  19895, 
/* msg =   9959, deg =  6 */    156,   2263,   8643,  10227,  17403,  18990, 
/* msg =   9960, deg =  6 */    992,   5331,   6868,  14279,  14558,  17208, 
/* msg =   9961, deg =  6 */    289,   1449,   1814,  10306,  13670,  18618, 
/* msg =   9962, deg =  6 */   3538,   7388,   9863,  12036,  12976,  14759, 
/* msg =   9963, deg =  6 */   1707,   8507,   9320,  10674,  13129,  13252, 
/* msg =   9964, deg =  6 */   2441,   4513,   9439,  13429,  15729,  19648, 
/* msg =   9965, deg =  6 */    337,   4170,   4770,  15505,  16846,  17657, 
/* msg =   9966, deg =  6 */   3087,   6364,   6408,  13566,  14740,  16474, 
/* msg =   9967, deg =  6 */   4513,   6966,   8760,  10125,  13872,  17076, 
/* msg =   9968, deg =  6 */     48,   5345,   7525,  11390,  15023,  18160, 
/* msg =   9969, deg =  6 */   1028,   1993,   8601,  10242,  12234,  15077, 
/* msg =   9970, deg =  6 */   3553,   6624,   7276,  11152,  11765,  13907, 
/* msg =   9971, deg =  6 */   1371,   5874,   7323,  11028,  11770,  16808, 
/* msg =   9972, deg =  6 */    521,    920,   4358,  16407,  16984,  17546, 
/* msg =   9973, deg =  6 */   3547,   5712,   6290,  14334,  14457,  19944, 
/* msg =   9974, deg =  6 */    845,   1458,   4726,  10703,  12239,  17197, 
/* msg =   9975, deg =  6 */    778,   5838,   7456,  13436,  13914,  17531, 
/* msg =   9976, deg =  6 */   5905,   7250,   9628,  12076,  16990,  17885, 
/* msg =   9977, deg =  6 */   2735,   3137,   7357,  12650,  15934,  18080, 
/* msg =   9978, deg =  6 */   1711,   5412,   7596,  10022,  16780,  19759, 
/* msg =   9979, deg =  6 */   5742,   8490,   9429,  13449,  17518,  18655, 
/* msg =   9980, deg =  6 */   2920,   4107,   8439,  14208,  14354,  14764, 
/* msg =   9981, deg =  6 */   3137,   5132,   9501,  13132,  15668,  19957, 
/* msg =   9982, deg =  6 */   4798,   5378,   5896,  10525,  11101,  13573, 
/* msg =   9983, deg =  6 */   1891,   4990,   9315,  10284,  11657,  17591, 
/* msg =   9984, deg =  6 */   2175,   5307,   7840,  12539,  13163,  16926, 
/* msg =   9985, deg =  6 */    509,   4338,   6611,  12166,  16093,  16331, 
/* msg =   9986, deg =  6 */    514,   4871,   5750,  13180,  14694,  16621, 
/* msg =   9987, deg =  6 */     68,   1351,   1893,  13304,  14522,  18949, 
/* msg =   9988, deg =  6 */   4981,   8091,   9713,  10521,  15345,  16851, 
/* msg =   9989, deg =  6 */   2291,   4182,   5523,  10760,  12219,  19109, 
/* msg =   9990, deg =  6 */    947,   4782,   7453,  11884,  12928,  15037, 
/* msg =   9991, deg =  6 */   1701,   3924,   5765,  13165,  14759,  19728, 
/* msg =   9992, deg =  6 */   3584,   4399,   9744,  10205,  17481,  19158, 
/* msg =   9993, deg =  6 */    481,   7994,   8795,  10653,  13981,  18364, 
/* msg =   9994, deg =  6 */   2280,   2407,   8314,  11039,  11458,  18317, 
/* msg =   9995, deg =  6 */    593,   1865,   2732,  11770,  13513,  15097, 
/* msg =   9996, deg =  6 */    843,   1458,   3465,  10773,  12525,  17152, 
/* msg =   9997, deg =  6 */    930,   5765,   8770,  13622,  15836,  17038, 
/* msg =   9998, deg =  6 */   3667,   8958,   9151,  10205,  17240,  18602, 
/* msg =   9999, deg =  6 */   4871,   7103,   8781,  11269,  18550,  19970
};
